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0706.3614
Krzysztof Pachucki
Krzysztof Pachucki
Nuclear vector polarizability correction to hyperfine splitting
14 pages, submitted to Phys. Rev. A
null
10.1103/PhysRevA.76.022508
null
physics.atom-ph nucl-th
null
The interaction of orbital electrons with the charge and magnetic moment of the nucleus polarizes it, and the detailed description requires a careful treatment of the nuclear vector polarizability. We present a complete and closed form expression for the resulting contribution to hyperfine splitting in light atomic systems.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 10:31:59 GMT" } ]
2009-11-13T00:00:00
[ [ "Pachucki", "Krzysztof", "" ] ]
0706.3615
Alessandro Stroppa
A. Stroppa, K. Termentzidis, J. Paier, G. Kresse, J. Hafner
CO adsorption on metal surfaces: a hybrid functional study with plane wave basis set
32 pages, 6 tables, 3 figures. (Re)Submitted to Phys. Rev. B; LDA results added in the tables; minor changes in the text
Phys. Rev. B 76, 195440 (2007)
10.1103/PhysRevB.76.195440
null
cond-mat.mtrl-sci
null
We present a detailed study of the adsorption of CO on Cu, Rh, and Pt (111) surfaces in top and hollow sites. The study has been performed using the local density approximation, the gradient corrected functional PBE, and the hybrid Hartree-Fock density functionals PBE0 and HSE03 within the framework of generalized Kohn-Sham density functional theory using a plane-wave basis set. As expected, the LDA and GGA functionals show a tendency to favor the hollow sites, at variance with experimental findings that give the top site as the most stable adsorption site. The PBE0 and HSE03 functionals reduce this tendency. In fact, they predict the correct adsorption site for Cu and Rh but fail for Pt. But even in this case, the hybrid functional destabilizes the hollow site by 50 meV compared to the PBE functional. The results of the total energy calculations are presented along with an analysis of the projected density of states.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 10:39:04 GMT" }, { "version": "v2", "created": "Fri, 21 Sep 2007 13:09:24 GMT" } ]
2011-12-30T00:00:00
[ [ "Stroppa", "A.", "" ], [ "Termentzidis", "K.", "" ], [ "Paier", "J.", "" ], [ "Kresse", "G.", "" ], [ "Hafner", "J.", "" ] ]
0706.3616
Jean-Marc Hur\'e
J.-M. Hure, D. Pelat and A. Pierens
Generation of potential/surface density pairs in flat disks Power law distributions
Accepted for publication in Astronomy & Astrophysics 7 pages, 8 figures, F90-code available at http://www.obs.u-bordeaux1.fr/radio/JMHure/intro2applawd.html
null
10.1051/0004-6361:20066808
null
astro-ph
null
We report a simple method to generate potential/surface density pairs in flat axially symmetric finite size disks. Potential/surface density pairs consist of a ``homogeneous'' pair (a closed form expression) corresponding to a uniform disk, and a ``residual'' pair. This residual component is converted into an infinite series of integrals over the radial extent of the disk. For a certain class of surface density distributions (like power laws of the radius), this series is fully analytical. The extraction of the homogeneous pair is equivalent to a convergence acceleration technique, in a matematical sense. In the case of power law distributions, the convergence rate of the residual series is shown to be cubic inside the source. As a consequence, very accurate potential values are obtained by low order truncation of the series. At zero order, relative errors on potential values do not exceed a few percent typically, and scale with the order N of truncation as 1/N**3. This method is superior to the classical multipole expansion whose very slow convergence is often critical for most practical applications.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 10:51:42 GMT" } ]
2009-11-13T00:00:00
[ [ "Hure", "J. -M.", "" ], [ "Pelat", "D.", "" ], [ "Pierens", "A.", "" ] ]
0706.3617
Sergey Peletminskii
A.S. Peletminskii, S.V. Peletminskii, Yu.V. Slyusarenko
On microscopic theory of spin-S Bose-Einstein condensate in a magnetic field
11 pages
Physica A 380, 202 (2007)
10.1016/j.physa.2007.02.107
null
cond-mat.stat-mech
null
The Bogoliubov model for weakly interacting Bose gas is extended to Bose-Einstein condensation (BEC) of spin-S atoms in a magnetic field. Equation for the vectorial order parameter valid at temperature $T\to 0$ is derived and its particular solution is found. This solution corresponds to the formation of BEC of atoms with a definite spin projection onto direction of a magnetic field. We study the thermodynamic stability of the found solution and obtain the expressions for low-lying collective modes.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 10:53:34 GMT" } ]
2007-06-26T00:00:00
[ [ "Peletminskii", "A. S.", "" ], [ "Peletminskii", "S. V.", "" ], [ "Slyusarenko", "Yu. V.", "" ] ]
0706.3618
Achenef Tesfahun
Achenef Tesfahun
Low Regularity local well-posedness for the 1+3 dimensional Dirac-Klein-Gordon system
null
null
null
null
math.AP
null
We prove that the Cauchy problem for the Dirac-Klein-Gordon system of equations in 1+3 dimensions is locally well-posed in a range of Sobolev spaces for the Dirac spinor and the meson field. The result contains and extends the earlier known results for the same problem. Our proof relies on the null structure in the system, and bilinear spacetime estimates of Klainerman-Machedon type.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 11:21:41 GMT" } ]
2007-06-26T00:00:00
[ [ "Tesfahun", "Achenef", "" ] ]
0706.3619
Jamel EL Kamel
Jamel El Kamel and Chokri Yacoub
Almost Everywhere Convergence of Inverse Dunkl Transform on the Real Line
9 pages
null
null
null
math.CA
null
In this paper, we will first show that the maximal operator $S_*^\alpha$ of spherical partial sums $S_R^\alpha$, associated to Dunkl transform on $\mathbb{R}$ is bounded on $L^p(\mathbb{R}, |x|^{2\alpha+1} dx)$ functions when $\frac{4(\alpha+1)}{2\alpha+3}<p<\frac{4(\alpha+1)}{2\alpha+1}$, and it implies that, for every $L^p(\mathbb{R}, |x|^{2\alpha+1} dx)$ function $f(x)$, $S_R^\alpha f(x)$ converges to $f(x)$ almost everywhere as $R\to \infty$. On the other hand we obtain a sharp version by showing that $S_*^\alpha$ is bounded from the Lorentz space $L^{p_i,1}(\mathbb{R}, |x|^{2\alpha+1})$ into $L^{p_i,\infty}(\mathbb{R}, |x|^{2\alpha+1}),\quad i=0,1$ where $p_0=\frac{4(\alpha+1)}{2\alpha+3}$ and $p_1=\frac{4(\alpha+1)}{2\alpha+1}$.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 12:00:43 GMT" } ]
2007-06-26T00:00:00
[ [ "Kamel", "Jamel El", "" ], [ "Yacoub", "Chokri", "" ] ]
0706.3620
Azita Mayeli
Ahmadreza Azimifard
Hypergroups with Unique Alpha-Means
8 pages, keywords: Hypergroups: orthogonal polynomial, of Nevaei classes. $\alpha$-Amenable Hypergroups
null
null
null
math.GR
null
Let $K$ be a commutative hypergroup and $\alpha\in \hat{K}$. We show that $K$ is $\alpha$-amenable with the unique $\alpha$-mean $m_\alpha$ if and only if $m_\alpha\in L^1(K)\cap L^2(K)$ and $\alpha$ is isolated in $\hat{K}$. In contrast to the case of amenable noncompact locally compact groups, examples of polynomial hypergroups with unique $\alpha$-means ($\alpha\not=1$) are given. Further examples emphasize that the $\alpha$-amenability of hypergroups depends heavily on the asymptotic behavior of Haar measures and characters.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 12:05:31 GMT" }, { "version": "v2", "created": "Tue, 26 Jun 2007 13:29:53 GMT" }, { "version": "v3", "created": "Thu, 17 Jan 2008 19:36:27 GMT" } ]
2008-01-17T00:00:00
[ [ "Azimifard", "Ahmadreza", "" ] ]
0706.3621
Gerald Marsh
Gerald E. Marsh
Climate Change: The Sun's Role
16 pages, 8 figures, 1 table
null
null
null
physics.gen-ph
null
The sun's role in the earth's recent warming remains controversial even though there is a good deal of evidence to support the thesis that solar variations are a very significant factor in driving climate change both currently and in the past. This precis lays out the background and data needed to understand the basic scientific argument behind the contention that variations in solar output have a significant impact on current changes in climate. It also offers a simple, phenomenological approach for estimating the actual-as opposed to model dependent-magnitude of the sun's influence on climate.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 18:43:00 GMT" } ]
2010-07-29T00:00:00
[ [ "Marsh", "Gerald E.", "" ] ]
0706.3622
Hendrik Bartko
W. Wittek, H. Bartko, N. Galante, T. Schweizer
Comments on the Unified approach to the construction of Classical confidence intervals
null
null
null
MPP-2007-78
physics.data-an astro-ph
null
The paper comments on properties of the so-called "Unified approach to the construction of classical confidence intervals", in which confidence intervals are computed in a Neyman construction using the likelihood ratio as ordering quantity. In particular, two of the main results of a paper by Feldman and Cousins (F&C) are discussed. It is shown that in the case of central intervals the so-called flip-flopping problem, occuring in the specific scenario where the experimenter decides to quote a standard upper limit or a confidence interval depending on the measurement, can be easily avoided by choosing appropriate confidence levels for the standard upper limits and confidence intervals. In the F&C paper "upper limit" is defined as the upper edge of a confidence interval, whose lower edge coincides with the physical limit. With this definition of upper limit (F&C limit), in an approach which uses the likelihood ratio as ordering quantity, two-sided confidence intervals automatically change over to "upper limits" as the signal becomes weaker (Unified approach). In the present paper it is pointed out that this behaviour is not a special property of this approach, because approaches with other ordering principles, like central intervals, symmetric intervals or highest-probability intervals, exhibit the same behaviour. The Unified approach is presented in the F&C paper as a solution to the flip-flopping problem. This might suggest that the F&C limit is a standard upper limit. In order to exclude any misunderstanding, it is proposed in the present paper to call the F&C limit "upper edge of the confidence interval", even if its lower edge coincides with the physical limit.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 12:20:06 GMT" }, { "version": "v2", "created": "Mon, 19 May 2008 10:28:38 GMT" }, { "version": "v3", "created": "Mon, 26 May 2008 07:27:32 GMT" } ]
2008-05-26T00:00:00
[ [ "Wittek", "W.", "" ], [ "Bartko", "H.", "" ], [ "Galante", "N.", "" ], [ "Schweizer", "T.", "" ] ]
0706.3623
Sorin Popa
Narutaka Ozawa, Sorin Popa
On a class of $\mathrm{II}_1$ factors with at most one Cartan subalgebra
27 pages; minor modifications; 10/27/07: New version with improved statements, new applications, and simplifications in proofs
null
null
null
math.OA math.GR
null
We prove that the normalizer of any diffuse amenable subalgebra of a free group factor $L(\Bbb F_r)$ generates an amenable von Neumann subalgebra. Moreover, any II$_1$ factor of the form $Q \vt L(\Bbb F_r) $, with $Q$ an arbitrary subfactor of a tensor product of free group factors, has no Cartan subalgebras. We also prove that if a free ergodic measure preserving action of a free group $\Bbb F_r$, $2\leq r \leq \infty$, on a probability space $(X,\mu)$ is profinite then the group measure space factor $L^\infty(X)\rtimes \Bbb F_r$ has unique Cartan subalgebra, up to unitary conjugacy.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 12:20:09 GMT" }, { "version": "v2", "created": "Thu, 28 Jun 2007 19:11:04 GMT" }, { "version": "v3", "created": "Sun, 1 Jul 2007 20:27:58 GMT" }, { "version": "v4", "created": "Sun, 28 Oct 2007 20:24:25 GMT" } ]
2007-10-30T00:00:00
[ [ "Ozawa", "Narutaka", "" ], [ "Popa", "Sorin", "" ] ]
0706.3624
Katia Ganda
Katia Ganda, Reynier F. Peletier, Richard M. McDermid, Jes\'us Falc\'on-Barroso, P.T. de Zeeuw, Roland Bacon, Michele Cappellari, Roger L. Davies, Eric Emsellem, Davor Krajnovi\'c, Harald Kuntschner, Marc Sarzi, Glenn van de Ven
Absorption line-strengths of 18 late-type spiral galaxies observed with SAURON
please find a high-resolution version at the following link: http://www.strw.leidenuniv.nl/sauron/papers/ganda2007_late_types_LS.pdf ; paper accepted for publication on MNRAS; 41 pages, 22 pictures
null
10.1111/j.1365-2966.2007.12121.x
null
astro-ph
null
We present absorption line-strength maps for a sample of 18 Sb-Sd galaxies observed using the integral-field spectrograph SAURON. The SAURON spectral range allows the measurement of the Lick/IDS indices Hbeta, Fe5015 and Mgb, which can be used to estimate the stellar population parameters. We present here the two-dimensional line-strength maps for each galaxy. From the maps, we learn that late-type spiral galaxies tend to have high Hbeta and low Fe5015 and Mgb values, and that the Hbeta index has often a positive gradient over the field, while the metal indices peak in the central region. We investigate the relations between the central line-strength indices and their correlations with morphological type and central velocity dispersion, and compare the observed behaviour with that for ellipticals, lenticulars and early-type spirals from the SAURON survey. We find that our galaxies lie below the Mg - sigma relation determined for elliptical galaxies and that the indices show a clear trend with morphological type. From the line-strength maps we calculate age, metallicity and abundance ratio maps and discuss the results from a one-SSP approach and from a two-SSP approach. Late-type galaxies are generally younger and more metal poor than ellipticals and have abundance ratios closer to solar values. We also explore a continuous star formation scenario, and try to recover the star formation history using the evolutionary models of Bruzual & Charlot (2003), assuming constant or exponentially declining star formation rate (SFR). We find a correlation between the e-folding time-scale tau of the starburst and the central velocity dispersion: more massive galaxies tend to have shorter tau, suggesting that the star formation happened long ago and has now basically ended, while for smaller objects with larger values of tau it is still active.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 12:22:02 GMT" } ]
2009-11-13T00:00:00
[ [ "Ganda", "Katia", "" ], [ "Peletier", "Reynier F.", "" ], [ "McDermid", "Richard M.", "" ], [ "Falcón-Barroso", "Jesús", "" ], [ "de Zeeuw", "P. T.", "" ], [ "Bacon", "Roland", "" ], [ "Cappellari", "Michele", "" ], [ "Davies", "Roger L.", "" ], [ "Emsellem", "Eric", "" ], [ "Krajnović", "Davor", "" ], [ "Kuntschner", "Harald", "" ], [ "Sarzi", "Marc", "" ], [ "van de Ven", "Glenn", "" ] ]
0706.3625
Florian Marquardt
Ferdinand Helmer, Matteo Mariantoni, Austin G. Fowler, Jan von Delft, Enrique Solano, Florian Marquardt
Two-dimensional cavity grid for scalable quantum computation with superconducting circuits
version as published in EPL 95 No 5 (March 2009) 50007, 5 pages
EPL 85 No 5 (March 2009) 50007 (5pp)
10.1209/0295-5075/85/50007
null
cond-mat.mes-hall quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Superconducting circuits are among the leading contenders for quantum information processing. This promising avenue has been strengthened with the advent of circuit quantum electrodynamics, underlined by recent experiments coupling on-chip microwave resonators to superconducting qubits. However, moving towards more qubits will require suitable novel architectures. Here, we propose a scalable setup for quantum computing where such resonators are arranged in a two-dimensional grid with a qubit at each intersection. Its versatility allows any two qubits on the grid to be coupled at a swapping overhead independent of their distance and yields an optimal balance between reducing qubit transition frequency spread and spurious cavity-induced couplings. These features make this setup unique and distinct from existing proposals in ion traps, optical lattices, or semiconductor spins. We demonstrate that this approach encompasses the fundamental elements of a scalable fault-tolerant quantum computing architecture.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 12:22:34 GMT" }, { "version": "v2", "created": "Tue, 24 Mar 2009 15:07:26 GMT" } ]
2009-03-24T00:00:00
[ [ "Helmer", "Ferdinand", "" ], [ "Mariantoni", "Matteo", "" ], [ "Fowler", "Austin G.", "" ], [ "von Delft", "Jan", "" ], [ "Solano", "Enrique", "" ], [ "Marquardt", "Florian", "" ] ]
0706.3626
Vladas Sidoravicius
Harry Kesten and Vladas Sidoravicius
A Problem in Last-Passage Percolation
1 figure
null
null
null
math.PR math-ph math.MP
null
Let $\{X(v), v \in \Bbb Z^d \times \Bbb Z_+\}$ be an i.i.d. family of random variables such that $P\{X(v)= e^b\}=1-P\{X(v)= 1\} = p$ for some $b>0$. We consider paths $\pi \subset \Bbb Z^d \times \Bbb Z_+$ starting at the origin and with the last coordinate increasing along the path, and of length $n$. Define for such paths $W(\pi) = \text{number of vertices $\pi_i, 1 \le i \le n$, with}X(\pi_i) = e^b$. Finally let $N_n(\al) = \text{number of paths $\pi$ of length $n$ starting at $\pi_0 = \bold 0$ and with $W(\pi) \ge \al n$.}$ We establish several properties of $\lim_{n \to \infty} [N_n]^{1/n}$.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 12:24:50 GMT" } ]
2007-06-26T00:00:00
[ [ "Kesten", "Harry", "" ], [ "Sidoravicius", "Vladas", "" ] ]
0706.3627
Julien Roques
Anne Duval (LPP), Julien Roques (LEP)
Familles fuchsiennes d'\'equations aux (q-)diff\'erences et confluence
null
null
null
null
math.CA
null
In a first part, we give a method for solving a family of fuchsian systems of operators of pseudo-derivations associated to a family of homographies with two parameters which unify and generalize the differential, the difference and the $q$-difference cases. In a second part, we study the problems of confluence related to these families.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 12:46:11 GMT" } ]
2007-06-26T00:00:00
[ [ "Duval", "Anne", "", "LPP" ], [ "Roques", "Julien", "", "LEP" ] ]
0706.3628
Patricia Ball
Patricia Ball and G.W.Jones
B->eta(') Form Factors in QCD
21 pages; version to appear in JHEP
JHEP 0708:025,2007
10.1088/1126-6708/2007/08/025
IPPP/07/30
hep-ph
null
We calculate the semileptonic form factors $f_+^{B\to \eta}(q^2)$ and $f_+^{B\to \eta'}(q^2)$ from QCD sum rules on the light-cone (LCSRs), to NLO in QCD, and for small to moderate q^2, $0\leq q^2\leq 16 {\rm GeV}^2$. We include in particular the so-called singlet contribution, i.e.\ weak annihilation of the B meson with the emission of two gluons which, thanks to the U(1)$_{\rm A}$ anomaly, couple directly to $\etap$. This effect is included to leading-twist accuracy. This contribution has been neglected in previous calculations of the form factors from LCSRs. We find that the singlet contribution to $f_+^{B\to \eta'}$ can be up to 20%, while that to $f_+^{B\to \eta}$ is, as expected, much smaller and below 3%. We also suggest to measure the ratio ${\cal B}(B\to\eta' e \nu)/{\cal B}(B\to \eta e \nu)$ to better constrain the size of the singlet contribution.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 12:51:02 GMT" }, { "version": "v2", "created": "Sun, 5 Aug 2007 07:13:29 GMT" } ]
2010-10-27T00:00:00
[ [ "Ball", "Patricia", "" ], [ "Jones", "G. W.", "" ] ]
0706.3629
Hiroki Ohta
Hiroki Ohta and Shin-ichi Sasa
Critical fluctuations of time-dependent magnetization in a random-field Ising model
5 pages, 7 figures
Phys. Rev. E, 77, 021119 (2008)
10.1063/1.2897792
null
cond-mat.stat-mech cond-mat.dis-nn
null
Cooperative behaviors near the disorder-induced critical point in a random field Ising model are numerically investigated by analyzing time-dependent magnetization in ordering processes from a special initial condition. We find that the intensity of fluctuations of time-dependent magnetization, $\chi(t)$, attains a maximum value at a time $t=\tau$ in a normal phase and that $\chi(\tau)$ and $\tau$ exhibit divergences near the disorder-induced critical point. Furthermore, spin configurations around the time $\tau$ are characterized by a length scale, which also exhibits a divergence near the critical point. We estimate the critical exponents that characterize these power-law divergences by using a finite-size scaling method.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 12:53:19 GMT" }, { "version": "v2", "created": "Thu, 6 Mar 2008 20:52:21 GMT" } ]
2009-11-13T00:00:00
[ [ "Ohta", "Hiroki", "" ], [ "Sasa", "Shin-ichi", "" ] ]
0706.3630
Thomas Ward
Richard Miles and Thomas Ward
Orbit-counting for nilpotent group shifts
null
Proc. Amer. Math. Soc. 137, 1499-1507 (2009)
10.1090/S0002-9939-08-09649-4
null
math.DS math.GR
null
We study the asymptotic behaviour of the orbit-counting function and a dynamical Mertens' theorem for the full $G$-shift for a finitely-generated torsion-free nilpotent group $G$. Using bounds for the M{\"o}bius function on the lattice of subgroups of finite index and known subgroup growth estimates, we find a single asymptotic of the shape \[ \sum_{|\tau|\le N}\frac{1}{e^{h|\tau|}}\sim CN^{\alpha}(\log N)^{\beta} \] where $|\tau|$ is the cardinality of the finite orbit $\tau$. For the usual orbit-counting function we find upper and lower bounds together with numerical evidence to suggest that for actions of non-cyclic groups there is no single asymptotic in terms of elementary functions.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 12:54:29 GMT" }, { "version": "v2", "created": "Thu, 28 Jun 2007 10:17:29 GMT" } ]
2009-09-22T00:00:00
[ [ "Miles", "Richard", "" ], [ "Ward", "Thomas", "" ] ]
0706.3631
Pavel J\'achym
P. Jachym, J. Palous, J. Koppen, F. Combes
Gas stripping in galaxy clusters: a new SPH simulation approach
18 pages, 23 figures, accepted for publication in A&A
null
10.1051/0004-6361:20066442
null
astro-ph
null
The influence of a time-varying ram pressure on spiral galaxies in clusters is explored with a new simulation method based on the N-body SPH/tree code GADGET. We have adapted the code to describe the interaction of two different gas phases, the diffuse hot intracluster medium (ICM) and the denser and colder interstellar medium (ISM). Both the ICM and ISM components are introduced as SPH particles. As a galaxy arrives on a highly radial orbit from outskirts to cluster center, it crosses the ICM density peak and experiences a time-varying wind. Depending on the duration and intensity of the ISM-ICM interaction, early and late type galaxies in galaxy clusters with either a large or small ICM distribution are found to show different stripping efficiencies, amounts of reaccretion of the extra-planar ISM, and final masses. We compare the numerical results with analytical approximations of different complexity and indicate the limits of the Gunn & Gott simple stripping formula. Our investigations emphasize the role of the galactic orbital history to the stripping amount. We discuss the contribution of ram pressure stripping to the origin of the ICM and its metallicity. We propose gas accumulations like tails, filaments, or ripples to be responsible for stripping in regions with low overall ICM occurrence.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 12:56:54 GMT" } ]
2009-11-13T00:00:00
[ [ "Jachym", "P.", "" ], [ "Palous", "J.", "" ], [ "Koppen", "J.", "" ], [ "Combes", "F.", "" ] ]
0706.3632
Andrea Miglio
Andrea Miglio (1), Josefina Montalban (1), Marc-Antoine Dupret (2) ((1) Universite de Liege, (2) Observatoire de Paris, LESIA)
Revised instability domains of SPB and beta Cephei stars
9 pages, 4 figures. Accepted for publication in Communications in Asteroseismology
null
10.1553/cia151s48
null
astro-ph
null
The excitation of pulsation modes in beta Cephei and Slowly Pulsating B stars is known to be very sensitive to opacity changes in the stellar interior where T~2 10^5 K. In this region differences in opacity up to ~50% can be induced by the choice between OPAL and OP opacity tables, and between two different metal mixtures (Grevesse and Noels 1993 and Asplund et al. 2005). We have extended the non-adiabatic computations presented in Miglio et al. (2007) towards models of higher mass and pulsation modes of degree l=3, and we present here the instability domains in the HR- and log(P)-log(Teff) diagrams resulting from different choices of opacity tables, and for three different metallicities.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 13:28:05 GMT" } ]
2009-11-13T00:00:00
[ [ "Miglio", "Andrea", "", "Universite de Liege" ], [ "Montalban", "Josefina", "", "Universite de Liege" ], [ "Dupret", "Marc-Antoine", "", "Observatoire de Paris, LESIA" ] ]
0706.3633
Subhashish Banerjee
Subhashish Banerjee and R. Srikanth
Phase Diffusion in Quantum Dissipative Systems
Accepted for publication in Physical Review A; changes in section V; 20 pages, 12 figures
null
10.1103/PhysRevA.76.062109
null
quant-ph cond-mat.stat-mech
null
We study the dynamics of the quantum phase distribution associated with the reduced density matrix of a system for a number of situations of practical importance, as the system evolves under the influence of its environment, interacting via a quantum nondemoliton type of coupling, such that there is decoherence without dissipation, as well as when it interacts via a dissipative interaction, resulting in decoherence as well as dissipation. The system is taken to be either a two-level atom (or equivalently, a spin-1/2 system) or a harmonic oscillator, and the environment is modeled as a bath of harmonic oscillators, starting out in a squeezed thermal state. The impact of the different environmental parameters on the dynamics of the quantum phase distribution for the system starting out in various initial states, is explicitly brought out. An interesting feature that emerges from our work is that the relationship between squeezing and temperature effects depends on the type of system-bath interaction. In the case of quantum nondemolition type of interaction, squeezing and temperature work in tandem, producing a diffusive effect on the phase distribution. In contrast, in case of a dissipative interaction, the influence of temperature can be counteracted by squeezing, which manifests as a resistence to randomization of phase. We make use of the phase distributions to bring out a notion of complementarity in atomic systems. We also study the dispersion of the phase using the phase distributions conditioned on particular initial states of the system.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 13:10:53 GMT" }, { "version": "v2", "created": "Tue, 27 Nov 2007 22:30:06 GMT" } ]
2009-11-13T00:00:00
[ [ "Banerjee", "Subhashish", "" ], [ "Srikanth", "R.", "" ] ]
0706.3634
Paul E. Gunnells
Avner Ash, Paul E. Gunnells, Mark McConnell
Cohomology of Congruence Subgroups of SL(4,\Z) II
null
null
null
null
math.NT
null
In a previous paper [3] we computed cohomology groups H^5 (Gamma_0 (N), \C), where Gamma_0 (N) is a certain congruence subgroup of SL (4, \Z), for a range of levels N. In this note we update this earlier work by extending the range of levels and describe cuspidal cohomology classes and additional boundary phenomena found since the publication of [3]. The cuspidal cohomology classes in this paper are the first cuspforms for GL(4) concretely constructed in terms of Betti cohomology.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 13:18:37 GMT" } ]
2007-06-26T00:00:00
[ [ "Ash", "Avner", "" ], [ "Gunnells", "Paul E.", "" ], [ "McConnell", "Mark", "" ] ]
0706.3635
Sean Sather-Wagstaff
Sean Sather-Wagstaff, Tirdad Sharif and Diana White
Comparison of relative cohomology theories with respect to semidualizing modules
28 pages
null
null
null
math.AC
null
We compare and contrast various relative cohomology theories that arise from resolutions involving semidualizing modules. We prove a general balance result for relative cohomology over a Cohen-Macaulay ring with a dualizing module, and we demonstrate the failure of the naive version of balance one might expect for these functors. We prove that the natural comparison morphisms between relative cohomology modules are isomorphisms in several cases, and we provide a Yoneda-type description of the first relative Ext functor. Finally, we show by example that each distinct relative cohomology construction does in fact result in a different functor.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 13:18:08 GMT" } ]
2007-06-26T00:00:00
[ [ "Sather-Wagstaff", "Sean", "" ], [ "Sharif", "Tirdad", "" ], [ "White", "Diana", "" ] ]
0706.3636
Mees de Roo
W.A. Chemissany, Mees de Roo, Sudhakar Panda
alpha'-Corrections to Heterotic Superstring Effective Action Revisited
7 pages
JHEP0708:037,2007
10.1088/1126-6708/2007/08/037
UG-07-04
hep-th
null
In this letter we establish that the supersymmetric R^2 effective action for the heterotic string, obtained from the supersymmetrisation of the Lorentz Chern-Simons term, is to order $\alpha'$ equivalent modulo field redefinitions to heterotic string effective actions computed by different methods.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 13:50:27 GMT" } ]
2008-11-26T00:00:00
[ [ "Chemissany", "W. A.", "" ], [ "de Roo", "Mees", "" ], [ "Panda", "Sudhakar", "" ] ]
0706.3637
Thomas Richthammer
Thomas Richthammer
Translation-invariance of two-dimensional Gibbsian point processes
44 pages, 6 figures
null
10.1007/s00220-007-0274-7
null
math.PR math-ph math.MP
null
The conservation of translation as a symmetry in two-dimensional systems with interaction is a classical subject of statistical mechanics. Here we establish such a result for Gibbsian particle systems with two-body interaction, where the interesting cases of singular, hard-core and discontinuous interaction are included. We start with the special case of pure hard core repulsion in order to show how to treat hard cores in general.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 13:30:40 GMT" } ]
2007-06-26T00:00:00
[ [ "Richthammer", "Thomas", "" ] ]
0706.3638
Xiao-Wu Chen
Xiao-Wu Chen
Singularity categories, Schur Functors and Triangular Matrix Rings
Comments are welcome!
Algebra and Repre. Th. 12 (2009) 181-191.
null
null
math.RT math.RA
null
We study certain Schur functors which preserve singularity categories of rings and we apply them to study the singularity category of triangular matrix rings. In particular, combining these results with Buchweitz-Happel's theorem, we can describe singularity categories of certain non-Gorenstein rings via the stable category of maximal Cohen-Macaulay modules. Three concrete examples of finite-dimensional algebras with the same singularity category are discussed.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 13:38:10 GMT" } ]
2010-02-18T00:00:00
[ [ "Chen", "Xiao-Wu", "" ] ]
0706.3639
Marcus Hutter
Shane Legg and Marcus Hutter
A Collection of Definitions of Intelligence
12 LaTeX pages
Frontiers in Artificial Intelligence and Applications, Vol.157 (2007) 17-24
null
IDSIA-07-07
cs.AI
null
This paper is a survey of a large number of informal definitions of ``intelligence'' that the authors have collected over the years. Naturally, compiling a complete list would be impossible as many definitions of intelligence are buried deep inside articles and books. Nevertheless, the 70-odd definitions presented here are, to the authors' knowledge, the largest and most well referenced collection there is.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 13:40:56 GMT" } ]
2007-06-26T00:00:00
[ [ "Legg", "Shane", "" ], [ "Hutter", "Marcus", "" ] ]
0706.3640
Robi Banerjee
Robi Banerjee, Ralf S. Klessen and Christian Fendt
Can Protostellar Jets Drive Supersonic Turbulence in Molecular Clouds?
33 pages, 18 figures, accepted by ApJ, version with high resolution figures at: http://www.ita.uni-heidelberg.de/~banerjee/publications/jet_paper.pdf
null
10.1086/521097
null
astro-ph
null
Jets and outflows from young stellar objects are proposed candidates to drive supersonic turbulence in molecular clouds. Here, we present the results from multi-dimensional jet simulations where we investigate in detail the energy and momentum deposition from jets into their surrounding environment and quantify the character of the excited turbulence with velocity probability density functions. Our study include jet--clump interaction, transient jets, and magnetised jets. We find that collimated supersonic jets do not excite supersonic motions far from the vicinity of the jet. Supersonic fluctuations are damped quickly and do not spread into the parent cloud. Instead subsonic, non-compressional modes occupy most of the excited volume. This is a generic feature which can not be fully circumvented by overdense jets or magnetic fields. Nevertheless, jets are able to leave strong imprints in their cloud structure and can disrupt dense clumps. Our results question the ability of collimated jets to sustain supersonic turbulence in molecular clouds.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 13:48:30 GMT" } ]
2009-11-13T00:00:00
[ [ "Banerjee", "Robi", "" ], [ "Klessen", "Ralf S.", "" ], [ "Fendt", "Christian", "" ] ]
0706.3641
Ralf Metzler
Tal Koren, Michael A. Lomholt, Aleksei V. Chechkin, Joseph Klafter, Ralf Metzler
Leapover lengths and first passage time statistics for L\'evy flights
4 pages, 5 figures, REVTeX
Phys. Rev. Lett. 99, 160602 (2007)
10.1103/PhysRevLett.99.160602
null
cond-mat.stat-mech
null
Exact results for the first passage time and leapover statistics of symmetric and one-sided Levy flights (LFs) are derived. LFs with stable index alpha are shown to have leapover lengths, that are asymptotically power-law distributed with index alpha for one-sided LFs and, surprisingly, with index alpha/2 for symmetric LFs. The first passage time distribution scales like a power-law with index 1/2 as required by the Sparre Andersen theorem for symmetric LFs, whereas one-sided LFs have a narrow distribution of first passage times. The exact analytic results are confirmed by extensive simulations.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 14:05:58 GMT" } ]
2009-11-13T00:00:00
[ [ "Koren", "Tal", "" ], [ "Lomholt", "Michael A.", "" ], [ "Chechkin", "Aleksei V.", "" ], [ "Klafter", "Joseph", "" ], [ "Metzler", "Ralf", "" ] ]
0706.3642
Azita Mayeli
Daryl Geller, Azita Mayeli
Nearly Tight Frames and Space-Frequency Analysis on Compact Manifolds
60 pages, 7 figures
null
null
null
math.CA math.FA
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Let $\bf M$ be a smooth compact oriented Riemannian manifold, and let $\Delta$ be the Laplace-Beltrami operator on ${\bf M}$. Say $0 \neq f \in \mathcal{S}(\RR^+)$, and that $f(0) = 0$. For $t > 0$, let $K_t(x,y)$ denote the kernel of $f(t^2 \Delta)$. Suppose $f$ satisfies Daubechies' criterion, and $b > 0$. For each $j$, write ${\bf M}$ as a disjoint union of measurable sets $E_{j,k}$ with diameter at most $ba^j$, and comparable to $ba^j$ if $ba^j$ is sufficiently small. Take $x_{j,k} \in E_{j,k}$. We then show that the functions $\phi_{j,k}(x)=[\mu(E_{j,k})]^{1/2} \bar{K_{a^j}}(x_{j,k},x)$ form a frame for $(I-P)L^2({\bf M})$, for $b$ sufficiently small (here $P$ is the projection onto the constant functions). Moreover, we show that the ratio of the frame bounds approaches 1 nearly quadratically as the dilation parameter approaches 1, so that the frame quickly becomes nearly tight (for $b$ sufficiently small). Moreover, based upon how well-localized a function $F \in (I-P)L^2$ is in space and in frequency, we can describe which terms in the summation $F \sim SF = \sum_j \sum_k < F,\phi_{j,k} > \phi_{j,k}$ are so small that they can be neglected. If $n=2$ and $\bf M$ is the torus or the sphere, and $f(s)=se^{-s}$ (the "Mexican hat" situation), we obtain two explicit approximate formulas for the $\phi_{j,k}$, one to be used when $t$ is large, and one to be used when $t$ is small. Finally we explain in what sense the kernel $K_t(x,y)$ should itself be regarded as a continuous wavelet on ${\bf M}$, and characterize the H\"older continuous functions on ${\bf M}$ by the size of their continuous wavelet transforms, for H\"older exponents strictly between 0 and 1.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 13:56:58 GMT" }, { "version": "v2", "created": "Sun, 16 Sep 2007 13:43:07 GMT" }, { "version": "v3", "created": "Thu, 27 Nov 2008 00:00:10 GMT" } ]
2008-11-28T00:00:00
[ [ "Geller", "Daryl", "" ], [ "Mayeli", "Azita", "" ] ]
0706.3643
SANGARA narayanan M V Dr
G. Nandhini and M.V.Sangaranarayanan
Partition function for two-dimensional nearest neighbour Ising model in the presence of external magnetic field
4 pages;one Figure; References added to the earlier version
null
null
null
physics.chem-ph
null
The partition function for two-dimensional nearest neighbour Ising models in the presence of a magnetic field is derived . A comparison with the partition functions predicted by Onsager is carried out. The critical temperature estimated by two different methods yields good agreement with the result of Yang and Lee.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 13:58:05 GMT" }, { "version": "v2", "created": "Thu, 28 Jun 2007 07:05:33 GMT" } ]
2007-06-28T00:00:00
[ [ "Nandhini", "G.", "" ], [ "Sangaranarayanan", "M. V.", "" ] ]
0706.3644
Marius Buliga
Marius Buliga
Dilatation structures with the Radon-Nikodym property
null
null
null
null
math.MG
null
In this paper I explain what is a pair of dilatation structures, one looking down to another. Such a pair of dilatation structures leads to the intrinsic definition of a distribution as a field of topological filters. To any pair of dilatation structures there is an associated notion of differentiability which generalizes the Pansu differentiability. This allows the introduction of the Radon-Nikodym property for dilatation structures, which is the straightforward generalization of the Radon-Nikodym property for Banach spaces. After an introducting section about length metric spaces and metric derivatives, is proved that for a dilatation structure with the Radon-Nikodym property the length of absolutely continuous curves expresses as an integral of the norms of the tangents to the curve, as in Riemannian geometry. Further it is shown that Radon-Nikodym property transfers from any "upper" dilatation structure looking down to a "lower" dilatation structure, theorem \ref{ttransfer}. Im my opinion this result explains intrinsically the fact that absolutely continuous curves in regular sub-Riemannian manifolds are derivable almost everywhere, as proved by Margulis-Mostow, Pansu (for Carnot groups) or Vodopyanov.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 14:01:38 GMT" } ]
2007-06-28T00:00:00
[ [ "Buliga", "Marius", "" ] ]
0706.3645
Troels Harmark
Oscar J. C. Dias, Troels Harmark, Robert C. Myers, Niels A. Obers
Multi-black hole configurations on the cylinder
42 pages, 4 figures. Minor comments added to match published version
Phys.Rev.D76:104025,2007
10.1103/PhysRevD.76.104025
null
hep-th gr-qc
null
We construct the metric of new multi-black hole configurations on a d-dimensional cylinder R^{d-1} x S^1, in the limit of small total mass (or equivalently in the limit of a large cylinder). These solutions are valid to first order in the total mass and describe configurations with several small black holes located at different points along the circle direction of the cylinder. We explain that a static configuration of black holes is required to be in equilibrium such that the external force on each black hole is zero, and we examine the resulting conditions. The first-order corrected thermodynamics of the solutions is obtained and a Newtonian interpretation of it is given. We then study the consequences of the multi-black hole configurations for the phase structure of static Kaluza-Klein black holes and show that our new solutions imply continuous non-uniqueness in the phase diagram. The new multi-black hole configurations raise the question of existence of new non-uniform black strings. Finally, a further analysis of the three-black hole configuration suggests the possibility of a new class of static lumpy black holes in Kaluza-Klein space.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 14:02:19 GMT" }, { "version": "v2", "created": "Fri, 28 Sep 2007 13:50:54 GMT" } ]
2008-11-26T00:00:00
[ [ "Dias", "Oscar J. C.", "" ], [ "Harmark", "Troels", "" ], [ "Myers", "Robert C.", "" ], [ "Obers", "Niels A.", "" ] ]
0706.3646
Vladimir V. Kornyak
Vladimir V. Kornyak
Symmetries and Dynamics of Discrete Systems
17 pages, 10 figures, [v2] includes additional material
CASC 2007, LNCS 4770, pp. 236--251, Springer 2007
null
null
math-ph math.DS math.MP nlin.PS
null
We consider discrete dynamical systems and lattice models in statistical mechanics from the point of view of their symmetry groups. We describe a C program for symmetry analysis of discrete systems. Among other features, the program constructs and investigates phase portraits of discrete dynamical systems modulo groups of their symmetries, searches dynamical systems possessing specific properties, e.g., reversibility, computes microcanonical partition functions and searches phase transitions in mesoscopic systems. Some computational results and observations are presented. In particular, we explain formation of moving soliton-like structures similar to ``spaceships'' in cellular automata.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 14:05:23 GMT" }, { "version": "v2", "created": "Mon, 8 Oct 2007 12:35:54 GMT" } ]
2007-10-08T00:00:00
[ [ "Kornyak", "Vladimir V.", "" ] ]
0706.3647
Vittoria Colizza
Vittoria Colizza, Alessandro Vespignani
Epidemic modeling in metapopulation systems with heterogeneous coupling pattern: theory and simulations
18 pages, 8 figures, minor corrections, inclusion of subleading terms
Journal of Theoretical Biology 251, 450-467 (2008)
null
null
q-bio.PE physics.soc-ph
null
The spatial structure of populations is a key element in the understanding of the large scale spreading of epidemics. Motivated by the recent empirical evidence on the heterogeneous properties of transportation and commuting patterns among urban areas, we present a thorough analysis of the behavior of infectious diseases in metapopulation models characterized by heterogeneous connectivity and mobility patterns. We derive the basic reaction-diffusion equation describing the metapopulation system at the mechanistic level and derive an early stage dynamics approximation for the subpopulation invasion dynamics. The analytical description uses degree block variables that allows us to take into account arbitrary degree distribution of the metapopulation network. We show that along with the usual single population epidemic threshold the metapopulation network exhibits a global threshold for the subpopulation invasion. We find an explicit analytic expression for the invasion threshold that determines the minimum number of individuals traveling among subpopulations in order to have the infection of a macroscopic number of subpopulations. The invasion threshold is a function of factors such as the basic reproductive number, the infectious period and the mobility process and it is found to decrease for increasing network heterogeneity. We provide extensive mechanistic numerical Monte Carlo simulations that recover the analytical finding in a wide range of metapopulation network connectivity patterns. The results can be useful in the understanding of recent data driven computational approaches to disease spreading in large transportation networks and the effect of containment measures such as travel restrictions.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 14:05:24 GMT" }, { "version": "v2", "created": "Tue, 21 Aug 2007 18:41:08 GMT" } ]
2008-03-19T00:00:00
[ [ "Colizza", "Vittoria", "" ], [ "Vespignani", "Alessandro", "" ] ]
0706.3648
Chuan Li
C. Li, Y. H. Tang, Y. Dai, C. Fang and J. -C. Vial
Flare magnetic reconnection and relativistic particles in the 2003 October 28 event
5 pages, 7 figures, accepted by A&A
A&A, 472, 283, 2007
10.1051/0004-6361:20066966
null
astro-ph
null
An X17.2 solar flare occurred on 2003 October 28, accompanied by multi-wavelength emissions and a high flux of relativistic particles observed at 1AU. We present the analytic results of the TRACE, SOHO, RHESSI, ACE, GOES, hard X-ray (INTEGRAL satellite), radio (Onderejov radio telescope), and neutron monitor data. It is found that the inferred magnetic reconnection electric field correlates well with the hard X-ray, gamma-ray, and neutron emission at the Sun. Thus the flare's magnetic reconnection probably makes a crucial contribution to the prompt relativistic particles, which could be detected at 1 AU. Since the neutrons were emitted a few minutes before the injection of protons and electrons, we propose a magnetic-field evolution configuration to explain this delay. We do not exclude the effect of CME-driven shock, which probably plays an important role in the delayed gradual phase of solar energetic particles.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 14:50:08 GMT" } ]
2013-05-24T00:00:00
[ [ "Li", "C.", "" ], [ "Tang", "Y. H.", "" ], [ "Dai", "Y.", "" ], [ "Fang", "C.", "" ], [ "Vial", "J. -C.", "" ] ]
0706.3649
Yifu Zhu
Gessler Hernandez, Jiepeng Zhang, and Yifu Zhu
Vacuum Rabi splitting and intracavity dark state in a cavity-atoms system
11 pages, 4 figures
null
10.1103/PhysRevA.76.053814
null
physics.optics physics.atom-ph
null
We report experimental measurements of the transmission spectrum of an optical cavity coupled with cold Rb atoms. We observe the multi-atom vacuum Rabi splitting of a composite cavity and atom system. When a coupling field is applied to the atoms and induces the resonant two-photon Raman transition with the cavity field in a Lamda-type three-level system, we observe a cavity transmission spectrum with two vacuum Rabi sidebands and a central peak representing the intracavity dark state. The central peak linewidth is significantly narrowed by the dark-state resonance and its position is insensitive to the frequency change of the empty cavity.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 14:10:47 GMT" } ]
2009-11-13T00:00:00
[ [ "Hernandez", "Gessler", "" ], [ "Zhang", "Jiepeng", "" ], [ "Zhu", "Yifu", "" ] ]
0706.3650
Jan Govaerts
Jan Govaerts (1,2) and Frederik G. Scholtz (1) ((1) Institute of Theoretical Physics, Department of Physics, University of Stellenbosch, Stellenbosch, Republic of South Africa, (2) UNESCO International Chair in Mathematical Physics and Applications (UNESCO-ICMPA), Cotonou, Republic of Benin)
The Weyl-Heisenberg Group on the Noncommutative Two-Torus: A Zoo of Representations
24 pages, no figures
J.Phys.A40:12415-12438,2007
10.1088/1751-8113/40/41/011
CP3-07-18, ICMPA-MPA/2007/17
hep-th
null
In order to assess possible observable effects of noncommutativity in deformations of quantum mechanics, all irreducible representations of the noncommutative Heisenberg algebra and Weyl-Heisenberg group on the two-torus are constructed. This analysis extends the well known situation for the noncommutative torus based on the algebra of the noncommuting position operators only. When considering the dynamics of a free particle for any of the identified representations, no observable effect of noncommutativity is implied.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 14:20:53 GMT" } ]
2008-11-26T00:00:00
[ [ "Govaerts", "Jan", "" ], [ "Scholtz", "Frederik G.", "" ] ]
0706.3651
Toshimitsu Yamazaki
Toshimitsu Yamazaki and Yoshinori Akaishi
Super strong nuclear force caused by migrating Kbar mesons - Revival of the Heitler-London-Heisenberg scheme in kaonic nuclear clusters
11 pages, 5 figures
Proc.JapanAcad.B83:144,2007
10.2183/pjab.83.144
null
nucl-th
null
We have studied the structure of K- pp comprehensively by solving this three-body system in a variational method, starting from the Ansatz that the Lambda(1405) resonance (~ Lambda*) is a K-p bound state. The structure of K-pp reveals a molecular feature, namely, the K- in Lambda* as an "atomic center" plays a key role in producing strong covalent bonding with the other proton. We point out that strongly bound Kbar nuclear systems are formed by ``super strong" nuclear force due to migrating real bosonic particles Kbar a la Heitler-London-Heisenberg, whereas the normal nuclear force is caused by mediating virtual pions. We have shown that the elementary process, p + p --> K+ + Lambda* + p, which occurs in a short impact parameter and with a large momentum transfer, leads to unusually large self-trapping of Lambda* by the involved proton, since the Lambda*-p system exists as a compact doorway state propagating to K-pp.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 13:59:47 GMT" }, { "version": "v2", "created": "Tue, 26 Jun 2007 12:18:14 GMT" } ]
2009-11-13T00:00:00
[ [ "Yamazaki", "Toshimitsu", "" ], [ "Akaishi", "Yoshinori", "" ] ]
0706.3652
Eric Lauga
Eric Lauga
Continuous breakdown of Purcell's scallop theorem with inertia
6 pages, 1 figure
Phys. Fluids 19, 061703, 2007
10.1063/1.2738609
null
cond-mat.soft physics.bio-ph physics.flu-dyn
null
Purcell's scallop theorem defines the type of motions of a solid body - reciprocal motions - which cannot propel the body in a viscous fluid with zero Reynolds number. For example, the flapping of a wing is reciprocal and, as was recently shown, can lead to directed motion only if its frequency Reynolds number, Re_f, is above a critical value of order one. Using elementary examples, we show the existence of oscillatory reciprocal motions which are effective for all arbitrarily small values of the frequency Reynolds number and induce net velocities scaling as (Re_f)^\alpha (alpha > 0). This demonstrates a continuous breakdown of the scallop theorem with inertia.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 14:25:49 GMT" } ]
2008-10-02T00:00:00
[ [ "Lauga", "Eric", "" ] ]
0706.3653
Pulak Ranjan Giri
Pulak Ranjan Giri
Lower bound of minimal time evolution in quantum mechanics
4 pages, no figure, revtex4
Int.J.Theor.Phys.47:2095-2100,2008
10.1007/s10773-008-9650-0
SINP/TNP/2007/39
quant-ph hep-th
null
We show that the total time of evolution from the initial quantum state to final quantum state and then back to the initial state, i.e., making a round trip along the great circle over S^2, must have a lower bound in quantum mechanics, if the difference between two eigenstates of the 2\times 2 Hamiltonian is kept fixed. Even the non-hermitian quantum mechanics can not reduce it to arbitrarily small value. In fact, we show that whether one uses a hermitian Hamiltonian or a non-hermitian, the required minimal total time of evolution is same. It is argued that in hermitian quantum mechanics the condition for minimal time evolution can be understood as a constraint coming from the orthogonality of the polarization vector \bf P of the evolving quantum state \rho={1/2}(\bf 1+ \bf{P}\cdot\boldsymbol{\sigma}) with the vector \boldsymbol{\mathcal O}(\Theta) of the 2\times 2 hermitian Hamiltonians H ={1/2}({\mathcal O}_0\boldsymbol{1}+ \boldsymbol{\mathcal O}(\Theta)\cdot\boldsymbol{\sigma}) and it is shown that the Hamiltonian H can be parameterized by two independent parameters {\mathcal O}_0 and \Theta.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 14:28:23 GMT" }, { "version": "v2", "created": "Mon, 14 Jan 2008 09:24:23 GMT" } ]
2008-11-26T00:00:00
[ [ "Giri", "Pulak Ranjan", "" ] ]
0706.3654
Sadi Turgut
S. Turgut
Catalytic Conversion Probabilities for Bipartite Pure States
4 pages; comments appreciated; the article is a modified version of this preprint combined with arXiv:0707.0444
J. Phys. A: Math. Theor. 40 (2007) 12185-12212
10.1088/1751-8113/40/40/012
null
quant-ph
null
For two given bipartite-entangled pure states, an expression is obtained for the least upper bound of conversion probabilities using catalysis. The attainability of the upper bound can also be decided if that bound is less than one.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 14:44:15 GMT" } ]
2007-09-19T00:00:00
[ [ "Turgut", "S.", "" ] ]
0706.3655
Nicholas Ouellette
Nicholas T. Ouellette and J. P. Gollub
Curvature Fields, Topology, and the Dynamics of Spatiotemporal Chaos
5 pages, 5 figures
null
10.1103/PhysRevLett.99.194502
null
physics.flu-dyn
null
The curvature field is measured from tracer particle trajectories in a two-dimensional fluid flow that exhibits spatiotemporal chaos, and is used to extract the hyperbolic and elliptic points of the flow. These special points are pinned to the forcing when the driving is weak, but wander over the domain and interact in pairs at stronger driving, changing the local topology of the flow. Their behavior reveals a two-stage transition to spatiotemporal chaos: a gradual loss of spatial and temporal order followed by an abrupt onset of topological changes.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 14:33:56 GMT" }, { "version": "v2", "created": "Thu, 30 Aug 2007 18:47:46 GMT" } ]
2009-11-13T00:00:00
[ [ "Ouellette", "Nicholas T.", "" ], [ "Gollub", "J. P.", "" ] ]
0706.3656
Lucas Fresse
Lucas Fresse
Betti numbers of Springer fibers in type A
17 pages
J. Algebra 322 (2009) 2566-2579
null
null
math.AG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We determine the Betti numbers of the Springer fibers in type A. To do this, we construct a cell decomposition of the Springer fibers. The codimension of the cells is given by an analogue of the Coxeter length. This makes our cell decomposition well suited for the calculation of Betti numbers.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 14:34:55 GMT" }, { "version": "v2", "created": "Wed, 4 Mar 2009 20:57:20 GMT" } ]
2009-12-08T00:00:00
[ [ "Fresse", "Lucas", "" ] ]
0706.3657
Edward Swartz
Patricia Hersh, Ed Swartz
Coloring complexes and arrangements
11 pages. To appear in the Journal of Algebraic Combinatorics
null
null
null
math.CO
null
Steingrimsson's coloring complex and Jonsson's unipolar complex are interpreted in terms of hyperplane arrangements. This viewpoint leads to short proofs that all coloring complexes and a large class of unipolar complexes have convex ear decompositions. These convex ear decompositions impose strong new restrictions on the chromatic polynomials of all finite graphs. Similar results are obtained for characteristic polynomials of submatroids of type B_n arrangements.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 14:38:16 GMT" } ]
2007-06-26T00:00:00
[ [ "Hersh", "Patricia", "" ], [ "Swartz", "Ed", "" ] ]
0706.3658
Jerzy Kowalski-Glikman
L. Freidel, J. Kowalski-Glikman and S. Nowak
Field theory on $\kappa$--Minkowski space revisited: Noether charges and breaking of Lorentz symmetry
22 pages, 1 figure, formulas in sect. III corrected
Int.J.Mod.Phys.A23:2687-2718,2008
10.1142/S0217751X08040421
null
hep-th
null
This paper is devoted to detailed investigations of free scalar field theory on $\kappa$-Minkowski space. After reviewing necessary mathematical tools we discuss in depth the Lagrangian and solutions of field equations. We analyze the spacetime symmetries of the model and construct the conserved charges associated with translational and Lorentz symmetry. We show that the version of the theory usually studied breaks Lorentz invariance in a subtle way: There is an additional trans-Planckian mode present, and an associated conserved charge (the number of such modes) is not a Lorentz scalar.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 14:39:17 GMT" }, { "version": "v2", "created": "Thu, 26 Jul 2007 09:46:25 GMT" } ]
2008-11-26T00:00:00
[ [ "Freidel", "L.", "" ], [ "Kowalski-Glikman", "J.", "" ], [ "Nowak", "S.", "" ] ]
0706.3659
Peter West
Fabio Riccioni, Duncan Steele and Peter West
Duality Symmetries and G^{+++} Theories
35 pages. v2: 2 appendices added, other minor corrections. v3: tables corrected, other minor changes, one appendix added, refs. added. Version published in Class. Quant. Grav
Class.Quant.Grav.25:045012,2008
10.1088/0264-9381/25/4/045012
KCL-MTH-07-09
hep-th
null
We show that the non-linear realisations of all the very extended algebras G^{+++}, except the B and C series which we do not consider, contain fields corresponding to all possible duality symmetries of the on-shell degrees of freedom of these theories. This result also holds for G_2^{+++} and we argue that the non-linear realisation of this algebra accounts precisely for the form fields present in the corresponding supersymmetric theory. We also find a simple necessary condition for the roots to belong to a G^{+++} algebra.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 14:43:08 GMT" }, { "version": "v2", "created": "Tue, 24 Jul 2007 16:00:04 GMT" }, { "version": "v3", "created": "Tue, 26 Feb 2008 10:55:11 GMT" } ]
2008-11-26T00:00:00
[ [ "Riccioni", "Fabio", "" ], [ "Steele", "Duncan", "" ], [ "West", "Peter", "" ] ]
0706.3660
Jurgen Engelfried
SELEX Collaboration, J.L.Sanchez-Lopez, K.D.Nelson, J.Engelfried, et al
Polarization of Lambda0 and antiLambda0 inclusively produced by 610GeV/c Sigma- and 525GeV/c proton beams
6 pages, 5 figures, submitted to PRD
null
null
UASLP-IF-07-003, FERMILAB-Pub-07-312-E
hep-ex
null
We have measured the polarization of Lambda0 and antiLambda0 inclusively produced by 610GeV/c Sigma- and 525GeV/c proton beams in the experiment SELEX during the 1996/7 fixed target run at Fermilab. The polarization was measured as a function of the Lambda longitudinal momentum fraction xF and transverse momentum pt. For the Lambda0 produced by Sigma- the polarization is increasing with xF, from slightly negative at x_F~0 to about 15% at large xF; it shows a non-monotonic behavior as a function of pt. For the proton beam, the Lambda0 polarization is negative and decreasing as a function of xF and pt. The antiLambda0 polarization is compatible with 0 for both beam particles over the full kinematic range. The target dependence was examined but no statistically significant difference was found.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 14:55:13 GMT" } ]
2007-06-26T00:00:00
[ [ "SELEX Collaboration", "", "" ], [ "Sanchez-Lopez", "J. L.", "" ], [ "Nelson", "K. D.", "" ], [ "Engelfried", "J.", "" ] ]
0706.3661
Malay Bandyopadhyay Dr.
Malay Bandyopadhyay
Thermodynamic properties of magneto-anisotropic nanoparticles
This paper is withdrawn, because it is a older version and the newer version can be found in J. Phys.: Condens. Matter 21, 23600 (2009)
null
null
null
cond-mat.stat-mech
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The purpose of this paper is to study the thermodynamic equilibrium properties of a collection of non-interacting three-dimensional (3D) magnetically anisotropic nanoparticles in the light of classical statistical physics. Pertaining to the angular dependence ($\alpha$) of the magnetic field with the anisotropy axis, energy landscape plots are obtained which reveal a continuous transition from a double well to a single well for $\alpha=\frac{\pi}{2}$ and show asymmetric bistable shape for other values of $\alpha$. The present analysis is related with the interpretation of equilibrium magnetization and static susceptibility of nanomagnetic system as a function of external magnetic field, $B$, and temperature, $T$. The magnetization and susceptibility confirms the non Langevin behaviour of magneto-anisotropic monodomain particles. The susceptibility analysis establishes the ferromagnetic, antiferromagnetic and paramagnetic like coupling for various $\alpha$. This study reveals the essential role of magneto anisotropic energy in the interpretation of the magnetic behaviour of a collection of noninteracting single domain nanoparticles.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 15:01:09 GMT" }, { "version": "v2", "created": "Wed, 13 May 2009 05:11:13 GMT" }, { "version": "v3", "created": "Sat, 17 Dec 2011 17:27:40 GMT" } ]
2011-12-20T00:00:00
[ [ "Bandyopadhyay", "Malay", "" ] ]
0706.3662
Horace Stoica
Arttu Rajantie, Mairi Sakellariadou and Horace Stoica
Numerical experiments with p F- and q D-strings: the formation of (p,q) bound states
17 pages, 8 figures, JCAP style
JCAP0711:021,2007
10.1088/1475-7516/2007/11/021
Imperial/TP/07/AR/01
hep-th astro-ph hep-ph
null
We investigate the behaviour of (p,q) string networks, focusing on two aspects: (1) modelling more realistic (p,q) string networks than the Z_N networks used so far and (2) investigating the effect of long-range interactions on the evolution of the network. We model the network with no long-range interactions using two sets of fields, complex scalars coupled to gauge fields, with a potential chosen such that the two types of strings will form bound states. This way we can model junctions of 3 strings with different tension; in Z_N models used so far in simulations all the strings have identical tensions. In order to introduce long-range interactions we also study a network in which one of the scalars forms global strings. We observe that in the absence of long-range interactions the formation of bound states has a significant influence on the evolution of the network. When long-range interactions are turned on the bound states are short-lived and have a minimal effect on the network evolution.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 15:01:47 GMT" }, { "version": "v2", "created": "Tue, 26 Jun 2007 10:24:27 GMT" }, { "version": "v3", "created": "Fri, 7 Dec 2007 15:05:49 GMT" } ]
2008-11-26T00:00:00
[ [ "Rajantie", "Arttu", "" ], [ "Sakellariadou", "Mairi", "" ], [ "Stoica", "Horace", "" ] ]
0706.3663
Wung-Hong Huang
Wung-Hong Huang
Wilson-t'Hooft Loops in Finite-Temperature Non-commutative Dipole Field Theory from Dual Supergravity
Latex, 22 pages, 8 figures, add several comments
Phys.Rev.D76:106005,2007
10.1103/PhysRevD.76.106005
null
hep-th
null
We first study the temporal Wilson loop in the finite-temperature non-commutative dipole field theory from the string/gauge correspondence. The associated dual supergravity background is constructed from the near-horizon geometry of near-extremal D-branes, after applying T-duality and smeared twist. We investigate the string configuration therein and find that while the temperature produces a maximum distance $L_{max}$ in the interquark distance the dipole in there could produce a minimum distance $L_{min}$. The quark boundary pair therefore could be found only if their distance is between $L_{min}$ and $L_{max}$. We also show that, beyond a critical temperature the quark pair becomes totally free due to screening by thermal bath. We next study the spatial Wilson loop and find the confining nature in the zero temperature 3D and 4D non-supersymmetry dipole gauge theory. The string tension of the linear confinement potential is obtained and found to be a decreasing function of the dipole field. We also investigate the associated t'Hooft loop and determine the corresponding monopole anti-monopole potential. The conventional screening of magnetic charge which indicates the confinement of the electric charge is replaced by a strong repulsive however. Finally, we show that the dual string which is rotating along the dipole deformed $S^5$ will behave as a static one without dipole field, which has no minimum distance and has larger energy than a static one with dipole field. We discuss the phase transition between these string solutions.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 16:02:51 GMT" }, { "version": "v2", "created": "Tue, 26 Jun 2007 11:27:19 GMT" }, { "version": "v3", "created": "Tue, 4 Sep 2007 13:49:08 GMT" } ]
2008-11-26T00:00:00
[ [ "Huang", "Wung-Hong", "" ] ]
0706.3664
Alessandro Campa
Alessandro Campa, Andrea Giansanti, Gianluca Morelli
Long time behavior of quasi-stationary states of the Hamiltonian Mean-Field model
Submitted to Phys. Rev. E
null
10.1103/PhysRevE.76.041117
null
cond-mat.stat-mech
null
The Hamiltonian Mean-Field model has been investigated, since its introduction about a decade ago, to study the equilibrium and dynamical properties of long-range interacting systems. Here we study the long-time behavior of long-lived, out-of-equilibrium, quasi-stationary dynamical states, whose lifetime diverges in the thermodynamic limit. The nature of these states has been the object of a lively debate, in the recent past. We introduce a new numerical tool, based on the fluctuations of the phase of the instantaneous magnetization of the system. Using this tool, we study the quasi-stationary states that arise when the system is started from different classes of initial conditions, showing that the new observable can be exploited to compute the lifetime of these states. We also show that quasi-stationary states are present not only below, but also above the critical temperature of the second order magnetic phase transition of the model. We find that at supercritical temperatures the lifetime is much larger than at subcritical temperatures.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 15:13:44 GMT" } ]
2009-11-13T00:00:00
[ [ "Campa", "Alessandro", "" ], [ "Giansanti", "Andrea", "" ], [ "Morelli", "Gianluca", "" ] ]
0706.3665
David Montes
M.C. G\'alvez (1 and 2), D. Montes (1), M.J. Fern\'andez-Figueroa (1), E. De Castro (1), M. Cornide (1) ((1) Dept. Astrof\'isica, UCM, Universidad Complutense de Madrid, Spain, (2) Department of Astronomy, University of Florida, USA)
Multiwavelength optical observations of chromospherically active binary systems V. FF UMa (2RE J0933+624): a system with orbital period variation
Latex file with 16 pages, 18 figures. Available at http://www.ucm.es/info/Astrof/invest/actividad/actividad_pub.html Accepted for publication in: Astronomy & Astrophysics (A&A)
null
10.1051/0004-6361:20067015
null
astro-ph
null
This is the fifth paper in a series aimed at studying the chromospheres of active binary systems using several optical spectroscopic indicators to obtain or improve orbital solution and fundamental stellar parameters. We present here the study of FF UMa (2RE J0933+624), a recently discovered, X-ray/EUV selected, active binary with strong H_alpha emission. The objectives of this work are, to find orbital solutions and define stellar parameters from precise radial velocities and carry out an extensive study of the optical indicators of chromospheric activity. We obtained high resolution echelle spectroscopic observations during five observing runs from 1998 to 2004. We found radial velocities by cross correlation with radial velocity standard stars to achieve the best orbital solution. We also measured rotational velocity by cross-correlation techniques and have studied the kinematic by galactic space- velocity components (U, V, W) and Eggen criteria. Finally, we have determined the chromospheric contribution in optical spectroscopic indicators, from Ca II H & K to Ca II IRT lines, using the spectral subtraction technique. We have found that this system presents an orbital period variation, higher than previously detected in other RS CVn systems. We determined an improved orbital solution, finding a circular orbit with a period of 3.274 days. We derived the stellar parameters, confirming the subgiant nature of the primary component and obtained rotational velocities (vsini), of 33.57 km/s and 32.38 km/s for the primary and secondary components respectively. From our kinematic study, we can deduce its membership to the Castor moving group. Finally, the activity study has given us a better understanding of the possible mechanisms that produce the orbital period variation.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 18:47:46 GMT" } ]
2009-11-13T00:00:00
[ [ "Gálvez", "M. C.", "", "1 and 2" ], [ "Montes", "D.", "" ], [ "Fernández-Figueroa", "M. J.", "" ], [ "De Castro", "E.", "" ], [ "Cornide", "M.", "" ] ]
0706.3666
Hajime Takami
Hajime Takami (1), Katsuhiko Sato (1,2); ((1) University of Tokyo, (2) Research Center for the Early Universe, University of Tokyo)
Propagation of Ultra-high-energy Protons in Cosmic Magnetic Fields
Contribution to the 30th International Cosmic Ray Conference, Merida Mexico, July 2007, a corrected version; 4 pages, 3 figures
null
null
null
astro-ph
null
We simulate the arrival distribution of ultra-high-energy (UHE) protons by following their propagation processes in several strengths of a structured extragalactic magnetic field (EGMF). Comparing our result to observational one by Akeno Giant Air Shower Array, we constrain the number density of UHE cosmic ray sources with the small-scale anisotropy. As a result, the source number density is $\sim 10^{-5} {\rm Mpc}^{-3}$ with uncertainty of about an order of magnitude due to the small number of observed events. This hardly depends on our structured EGMF strength. We also investigate future prospects for this approarch. The near future observations, such as Pierre Auger Observatory, can distinguish $10^{-6} {\rm Mpc}^{-3}$ accurately from the more source densities. Number of events to discriminate between $10^{-4}$ and $10^{-5} {\rm Mpc}^{-3}$ is dependent on the EGMF strength.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 15:39:48 GMT" } ]
2007-06-26T00:00:00
[ [ "Takami", "Hajime", "" ], [ "Sato", "Katsuhiko", "" ], [ ";", "", "" ] ]
0706.3667
Claudia Quercellini
Claudia Quercellini (1), Marco Bruni (1, 2 and 3) and Amedeo Balbi (1 and 2) ((1) Universita' di Roma Tor Vergata, (2) INFN Sezione di Roma Tor Vergata, (3) University of Portsmouth)
Affine equation of state from quintessence and k-essence fields
9 pages, 6 figures. Minor updates, accepted by CQG
Class.Quant.Grav.24:5413-5426,2007
10.1088/0264-9381/24/22/006
null
astro-ph gr-qc hep-th
null
We explore the possibility that a scalar field with appropriate Lagrangian can mimic a perfect fluid with an affine barotropic equation of state. The latter can be thought of as a generic cosmological dark component evolving as an effective cosmological constant plus a generalized dark matter. As such, it can be used as a simple, phenomenological model for either dark energy or unified dark matter. Furthermore, it can approximate (up to first order in the energy density) any barotropic dark fluid with arbitrary equation of state. We find that two kinds of Lagrangian for the scalar field can reproduce the desired behaviour: a quintessence-like with a hyperbolic potential, or a purely kinetic k-essence one. We discuss the behaviour of these two classes of models from the point of view of the cosmological background, and we give some hints on their possible clustering properties.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 18:13:45 GMT" }, { "version": "v2", "created": "Wed, 5 Sep 2007 14:04:14 GMT" } ]
2008-11-26T00:00:00
[ [ "Quercellini", "Claudia", "", "1, 2 and 3" ], [ "Bruni", "Marco", "", "1, 2 and 3" ], [ "Balbi", "Amedeo", "", "1\n and 2" ] ]
0706.3668
Scott T. Kay
Scott T. Kay, Leila C. Powell, Andrew R. Liddle, Peter A. Thomas
The Sunyaev-Zel'dovich temperature of the intracluster medium
This version accepted for publication in MNRAS following minor revision
null
10.1111/j.1365-2966.2008.13183.x
null
astro-ph
null
The relativistic Sunyaev-Zel'dovich (SZ) effect offers a method, independent of X-ray, for measuring the temperature of the intracluster medium (ICM) in the hottest systems. Here, using N-body/hydrodynamic simulations of three galaxy clusters, we compare the two quantities for a non-radiative ICM, and for one that is subject both to radiative cooling and strong energy feedback from galaxies. Our study has yielded two interesting results. Firstly, in all cases, the SZ temperature is hotter than the X-ray temperature and is within ten per cent of the virial temperature of the cluster. Secondly, the mean SZ temperature is less affected by cooling and feedback than the X-ray temperature. Both these results can be explained by the SZ temperature being less sensitive to the distribution of cool gas associated with cluster substructure. A comparison of the SZ and X-ray temperatures (measured for a sample of hot clusters) would therefore yield interesting constraints on the thermodynamic structure of the intracluster gas.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 15:58:48 GMT" }, { "version": "v2", "created": "Fri, 7 Mar 2008 09:26:12 GMT" } ]
2009-11-13T00:00:00
[ [ "Kay", "Scott T.", "" ], [ "Powell", "Leila C.", "" ], [ "Liddle", "Andrew R.", "" ], [ "Thomas", "Peter A.", "" ] ]
0706.3669
Andras Vasy
Andras Vasy
The wave equation on asymptotically de Sitter-like spaces
40 pages, 1 figure
null
null
null
math.AP math.DG
null
In this paper we obtain the asymptotic behavior of solutions of the Klein-Gordon equation on Lorentzian manifolds $(X^\circ,g)$ which are de Sitter-like at infinity. Such manifolds are Lorentzian analogues of the so-called Riemannian conformally compact (or asymptotically hyperbolic) spaces. Under global assumptions on the (null)bicharacteristic flow, namely that the boundary of the compactification X is a union of two disjoint manifolds, Y+ and Y-, and each bicharacteristic converges to one of these two manifolds as the parameter along the bicharacteristic goes to plus infinity, and to the other manifold as the parameter goes to minus infinity, we also define the scattering operator, and show that it is a Fourier integral operator associated to the bicharacteristic flow from Y+ to Y-.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 16:32:15 GMT" } ]
2007-06-26T00:00:00
[ [ "Vasy", "Andras", "" ] ]
0706.3670
Richard Hill
Richard Hill
Construction of eigenvarieties in small cohomological dimensions for semi-simple, simply connected groups
null
null
null
null
math.NT
null
We study low order terms of Emerton's spectral sequence for simply connected, simple groups. As a result, for real rank 1 groups, we show that Emerton's method for constructing eigenvarieties is successful in cohomological dimension 1. For real rank 2 groups, we show that a slight modification of Emerton's method allows one to construct eigenvarieties in cohomological dimension 2.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 16:39:55 GMT" } ]
2007-06-26T00:00:00
[ [ "Hill", "Richard", "" ] ]
0706.3671
M. Cristina Depassier
R. D. Benguria, M. C. Depassier, M. Loss
Validity of the Brunet-Derrida formula for the speed of pulled fronts with a cutoff
8 pages, 3 figures
European Physical Journal B 61 (2008) 331
10.1140/epjb/e2008-00069-1
null
nlin.PS
null
We establish rigorous upper and lower bounds for the speed of pulled fronts with a cutoff. We show that the Brunet-Derrida formula corresponds to the leading order expansion in the cut-off parameter of both the upper and lower bounds. For sufficiently large cut-off parameter the Brunet-Derrida formula lies outside the allowed band determined from the bounds. If nonlinearities are neglected the upper and lower bounds coincide and are the exact linear speed for all values of the cut-off parameter.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 16:43:20 GMT" } ]
2015-04-28T00:00:00
[ [ "Benguria", "R. D.", "" ], [ "Depassier", "M. C.", "" ], [ "Loss", "M.", "" ] ]
0706.3672
Kirill Semenov-Tian-Shansky
Kirill M.Semenov-Tian-Shansky, Alexander V.Vereshagin, Vladimir V. Vereshagin
Bootstrap and the physical values of $\pi N$ resonance parameters
41 pages, 7 figures
Phys.Rev.D77:025028,2008
10.1103/PhysRevD.77.025028
null
hep-ph hep-th
null
This is the 6th paper in the series developing the formalism to manage the effective scattering theory of strong interactions. Relying on the theoretical scheme suggested in our previous publications we concentrate here on the practical aspect and apply our technique to the elastic pion-nucleon scattering amplitude. We test numerically the pion-nucleon spectrum sum rules that follow from the tree level bootstrap constraints. We show how these constraints can be used to estimate the tensor and vector $NN\rho$ coupling constants. At last, we demonstrate that the tree-level low energy expansion coefficients computed in the framework of our approach show nice agreement with known experimental data. These results allow us to claim that the extended perturbation scheme is quite reasonable from the computational point of view.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 17:13:39 GMT" } ]
2008-11-26T00:00:00
[ [ "Semenov-Tian-Shansky", "Kirill M.", "" ], [ "Vereshagin", "Alexander V.", "" ], [ "Vereshagin", "Vladimir V.", "" ] ]
0706.3673
Thomas Auer
T. Berstermann, T. Auer, H. Kurtze, M. Schwab, D.R. Yakovlev, M. Bayer, J. Wiersig, C. Gies, F. Jahnke, D. Reuter, A.D. Wieck
Systematic study of carrier correlations in the electron-hole recombination dynamics of quantum dots
8 pages, 7 figures
null
10.1103/PhysRevB.76.165318
null
cond-mat.other
null
The ground state carrier dynamics in self-assembled (In,Ga)As/GaAs quantum dots has been studied using time-resolved photoluminescence and transmission. By varying the dot design with respect to confinement and doping, the dynamics is shown to follow in general a non-exponential decay. Only for specific conditions in regard to optical excitation and carrier population, for example, the decay can be well described by a mono-exponential form. For resonant excitation of the ground state transition a strong shortening of the luminescence decay time is observed as compared to the non-resonant case. The results are consistent with a microscopic theory that accounts for deviations from a simple two-level picture.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 17:00:23 GMT" } ]
2009-11-13T00:00:00
[ [ "Berstermann", "T.", "" ], [ "Auer", "T.", "" ], [ "Kurtze", "H.", "" ], [ "Schwab", "M.", "" ], [ "Yakovlev", "D. R.", "" ], [ "Bayer", "M.", "" ], [ "Wiersig", "J.", "" ], [ "Gies", "C.", "" ], [ "Jahnke", "F.", "" ], [ "Reuter", "D.", "" ], [ "Wieck", "A. D.", "" ] ]
0706.3674
Fran\c{c}ois Charles
Fran\c{c}ois Charles
Conjugate varieties with distinct real cohomology algebras
18 pages, final version
null
null
null
math.AG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Using constructions of Voisin, we exhibit a smooth projective variety defined over a number field k and two complex embeddings of k, such that the two complex manifolds induced by these embeddings have non isomorphic cohomology algebras with real coefficients. This contrasts with the fact that the cohomology algebras with l-adic coefficients are canonically isomorphic for any prime number l, and answers a question of Grothendieck.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 16:49:32 GMT" }, { "version": "v2", "created": "Tue, 2 Oct 2007 12:51:33 GMT" }, { "version": "v3", "created": "Tue, 15 Jul 2008 04:05:54 GMT" } ]
2008-07-15T00:00:00
[ [ "Charles", "François", "" ] ]
0706.3675
Kuo-An Wu
Kuo-An Wu and Alain Karma
Phase-field crystal modeling of equilibrium bcc-liquid interfaces
12 pages, 2 figures
null
10.1103/PhysRevB.76.184107
null
cond-mat.mtrl-sci
null
We investigate the equilibrium properties of bcc-liquid interfaces modeled with a continuum phase-field crystal (PFC) approach [K. R. Elder and M. Grant, Phys. Rev. E 70, 051605 (2004)]. A multiscale analysis of the PFC model is carried out which exploits the fact that the amplitudes of crystal density waves decay slowly into the liquid in the physically relevant limit where the freezing transition is weakly first order. This analysis yields a set of coupled equations for these amplitudes that is similar to the set of equations derived from Ginzburg-Landau (GL) theory [K.-A. Wu et al., Phys. Rev. E 73, 094101 (2006)]. The two sets only differ in the details of higher order nonlinear couplings between different density waves, which is determined by the form of the nonlinearity assumed in the PFC model and by the ansatz that all polygons with the same number of sides have equal weight in GL theory. Despite these differences, for parameters (liquid structure factor and solid density wave amplitude) of Fe determined from molecular dynamic (MD) simulations, the PFC and GL amplitude equations yield very similar predictions for the overall magnitude and anisotropy of the interfacial free-energy and density wave profiles. These predictions are compared with MD simulations as well as numerical solutions of the PFC model.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 17:05:23 GMT" } ]
2009-11-13T00:00:00
[ [ "Wu", "Kuo-An", "" ], [ "Karma", "Alain", "" ] ]
0706.3676
Marcin Molski
Marcin Molski and Jerzy Konarski
On the Gompertzian dynamics of growth and self-organization
null
null
null
null
q-bio.OT q-bio.QM
null
Comment on the Waliszewski's article "A principle of fractal-sto-chastic dualism and Gompertzian dynamics of growth and self-organization" (BioSystems 82 (2005)61-73) is presented. It has been proved that the main idea of this work that Gompertzian dynamics is governed by the Schr\"{o}dinger-like equation including anharmonic Morse potential has been already introduced by Molski and Konarski in 2003. Some inconsistencies and mathematical errors in the Waliszewski's model are also pointed out.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 17:11:09 GMT" } ]
2007-06-26T00:00:00
[ [ "Molski", "Marcin", "" ], [ "Konarski", "Jerzy", "" ] ]
0706.3677
Keith Copsey
Keith Copsey
Bubbles Unbound II: AdS and the Single Bubble
42 pages, 11 figures, v2: minor improvements, v3: added references, enhanced soliton discussion, typos corrected, published version
JHEP 0710:095,2007
10.1088/1126-6708/2007/10/095
null
hep-th gr-qc
null
I present further analytic time symmetric initial data for five dimensions describing ``bubbles of nothing'' which have no Kaluza-Klein circle asymptotically. The new solutions consist of a large family of single bubbles in both asymptotically flat and asymptotically AdS space. I also numerically construct gravitational solitons in AdS where the usual boundary conditions are modified geometrically but not topologically. Furthermore I point out there are both regular AdS bubbles and topologically trivial metrics in asymptotically global AdS dual to matter which violates all the usual energy conditions, both classical and quantum. I inquire as to the existence of a dual gravitational instability.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 17:46:23 GMT" }, { "version": "v2", "created": "Wed, 25 Jul 2007 18:26:59 GMT" }, { "version": "v3", "created": "Tue, 4 Dec 2007 19:34:42 GMT" } ]
2009-11-18T00:00:00
[ [ "Copsey", "Keith", "" ] ]
0706.3678
Ioan Kosztin
Cyrille Norotte, Francoise Marga, Adrian Neagu, Ioan Kosztin and Gabor Forgacs (University of Missouri - Columbia)
Experimental confirmation of tissue liquidity based on the exact solution of the Laplace equation
4 pages, 3 figures, submitted to Phys. Rev. Lett
null
10.1209/0295-5075/81/46003
null
physics.bio-ph physics.flu-dyn q-bio.TO
null
The notion of tissue surface tension has provided a physical understanding of morphogenetic phenomena such as tissue spreading or cell sorting. The measurement of tissue surface tension so far relied on strong approximations on the geometric profile of a spherical droplet compressed between parallel plates. We solved the Laplace equation for this geometry and tested its solution on true liquids and embryonic tissue fragments as well as multicellular aggregates. The analytic solution provides the surface tension in terms of easily and accurately measurable geometric parameters. Experimental results show that the various tissues and multicellular aggregates studied here are incompressible and, similarly to true liquids, possess effective surface tensions that are independent of the magnitude of the compressive force and the volume of the droplet.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 17:24:21 GMT" } ]
2009-11-13T00:00:00
[ [ "Norotte", "Cyrille", "", "University of Missouri - Columbia" ], [ "Marga", "Francoise", "", "University of Missouri - Columbia" ], [ "Neagu", "Adrian", "", "University of Missouri - Columbia" ], [ "Kosztin", "Ioan", "", "University of Missouri - Columbia" ], [ "Forgacs", "Gabor", "", "University of Missouri - Columbia" ] ]
0706.3679
Yann Guermeur
Yann Guermeur (LORIA)
Scale-sensitive Psi-dimensions: the Capacity Measures for Classifiers Taking Values in R^Q
null
ASMDA 2007 (2007) 1-8
null
null
cs.LG
null
Bounds on the risk play a crucial role in statistical learning theory. They usually involve as capacity measure of the model studied the VC dimension or one of its extensions. In classification, such "VC dimensions" exist for models taking values in {0, 1}, {1,..., Q} and R. We introduce the generalizations appropriate for the missing case, the one of models with values in R^Q. This provides us with a new guaranteed risk for M-SVMs which appears superior to the existing one.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 17:28:57 GMT" } ]
2007-06-26T00:00:00
[ [ "Guermeur", "Yann", "", "LORIA" ] ]
0706.3680
Gad Naot
Gad Naot
The Universal sl_2 Link Homology Theory
97 pages. This is my PhD thesis (University of Toronto, June 2007). Hooray!
null
null
null
math.GT math.QA
null
We explore the complex associated to a link in the geometric formalism of Khovanov's (n=2) link homology theory, determine its exact underlying algebraic structure and find its precise universality properties for link homology functors. We present new methods of extracting all known link homology theories directly from this universal complex, and determine its relative strength as a link invariant by specifying the amount of information held within the complex. We achieve these goals by finding a complex isomorphism which reduces the complex into one in a simpler category. We introduce few tools and methods, including surface classification modulo the 4TU/S/T relations and genus generating operators, and use them to explore the relation between the geometric complex and its underlying algebraic structure. We identify the universal topological quantum field theory (TQFT) that can be used to create link homology and find that it is ``smaller'' than what was previously reported by Khovanov. We find new homology theories that hold a controlled amount of information relative to the known ones. The universal complex is computable efficiently using our reduction theorem. This allows us to explore the phenomenological aspects of link homology theory through the eyes of the universal complex in order to explain and unify various phenomena (such as torsion and thickness). The universal theory also enables us to state results regarding specific link homology theories derived from it. The methods developed in this thesis can be combined with other known techniques (such as link homology spectral sequences) or used in the various extensions of Khovanov link homology (such as sl_3 link homology).
[ { "version": "v1", "created": "Mon, 25 Jun 2007 19:59:51 GMT" } ]
2007-06-26T00:00:00
[ [ "Naot", "Gad", "" ] ]
0706.3681
Marcin Molski
Marcin Molski
On the Classification Scheme for Phenomenological Universalities in Growth Problems in Physics and Other Sciences
null
null
null
null
q-bio.OT q-bio.QM
null
Comment on "Classification Scheme for Phenomenological Universalities in Growth Problems in Physics and Other Sciences" by P. Castorina, P. P. Delsanto and C. Guiot, Phys. Rev. Lett. {\bf 96}, 188701 (2006) is presented. It has been proved that the West-like function of growth derived by the authors is incorrect and the approach does not take into account the growth of the biological systems undergoing atrophy or demographic and economic systems undergoing involution or regression. A simple extension of the model, which permits derivation of the so far unknown involuted Gompertz function of growth is proposed.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 17:40:10 GMT" } ]
2007-06-26T00:00:00
[ [ "Molski", "Marcin", "" ] ]
0706.3682
Richard J. Mathar
Richard J. Mathar
Orthogonal Set of Basis Functions over the Binocular Pupil
Added chapters V and VI on interferometric signal and Fourier representation
Baltic Astronomy 19 (2010) 121-141
10.1515/astro-2017-0416
null
physics.optics
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Sets of orthogonal basis functions over two-dimensional circular areas--most often representing pupils in optical applications--are known in the literature for the full circle (Zernike or Jacobi polynomials) and the annulus. This work proposes an orthogonal set if the area is two non-overlapping circular pupils of same size. The major free parameter is the ratio of the pupil radii over the distance between both circles. Increasingly higher order aberrations--as defined for a virtual larger pupil in which both pupils are embedded--are fed into a Gram-Schmidt orthogonalization to implement one unique set of basis functions. The key element is to work out the overlap integrals between a full set of primitive basis functions (products of powers of the distance from the mid-point between both pupils by azimuthal functions of the Fourier type).
[ { "version": "v1", "created": "Mon, 25 Jun 2007 18:20:55 GMT" }, { "version": "v2", "created": "Tue, 5 Aug 2008 20:05:16 GMT" } ]
2017-05-08T00:00:00
[ [ "Mathar", "Richard J.", "" ] ]
0706.3683
Andrej Prsa
Andrej Prsa and Tomaz Zwitter
Pipeline Reduction of Binary Light Curves from Large-Scale Surveys
14 pages, 8 figures, S240 IAU symposium proceedings
null
10.1017/S1743921307004061
null
astro-ph
null
One of the most important changes in observational astronomy of the 21st Century is a rapid shift from classical object-by-object observations to extensive automatic surveys. As CCD detectors are getting better and their prices are getting lower, more and more small and medium-size observatories are refocusing their attention to detection of stellar variability through systematic sky-scanning missions. This trend is aditionally powered by the success of pioneering surveys such as ASAS, DENIS, OGLE, TASS, their space counterpart Hipparcos and others. Such surveys produce massive amounts of data and it is not at all clear how these data are to be reduced and analysed. This is especially striking in the eclipsing binary (EB) field, where most frequently used tools are optimized for object-by-object analysis. A clear need for thorough, reliable and fully automated approaches to modeling and analysis of EB data is thus obvious. This task is very difficult because of limited data quality, non-uniform phase coverage and solution degeneracy. This paper reviews recent advancements in putting together semi-automatic and fully automatic pipelines for EB data processing. Automatic procedures have already been used to process Hipparcos data, LMC/SMC observations, OGLE and ASAS catalogs etc. We discuss the advantages and shortcomings of these procedures.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 17:49:13 GMT" } ]
2009-11-13T00:00:00
[ [ "Prsa", "Andrej", "" ], [ "Zwitter", "Tomaz", "" ] ]
0706.3684
Pete Donnell
Pete Donnell, Murad Banaji and Stephen Baigent
Stability in generic mitochondrial models
22 pages, 1 figure. Submitted to Mathematical Biosciences
null
null
null
q-bio.QM q-bio.SC
null
In this paper, we use a variety of mathematical techniques to explore existence, local stability, and global stability of equilibria in abstract models of mitochondrial metabolism. The class of models constructed is defined by the biological description of the system, with minimal mathematical assumptions. The key features are an electron transport chain coupled to a process of charge translocation across a membrane. In the absence of charge translocation these models have previously been shown to behave in a very simple manner with a single, globally stable equilibrium. We show that with charge translocation the conclusion about a unique equilibrium remains true, but local and global stability do not necessarily follow. In sufficiently low dimensions - i.e. for short electron transport chains - it is possible to make claims about local and global stability of the equilibrium. On the other hand, for longer chains, these general claims are no longer valid. Some particular conditions which ensure stability of the equilibrium for chains of arbitrary length are presented.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 17:55:06 GMT" } ]
2007-06-26T00:00:00
[ [ "Donnell", "Pete", "" ], [ "Banaji", "Murad", "" ], [ "Baigent", "Stephen", "" ] ]
0706.3685
Yu Jia
Yu Jia
Exclusive Double Charmonium Production from $\Upsilon$ Decay
null
Phys.Rev.D76:074007,2007
10.1103/PhysRevD.76.074007
null
hep-ph hep-ex
null
The exclusive decay of $\Upsilon$ to a vector plus pseudoscalar charmonium is studied in perturbative QCD. The corresponding branching ratios are predicted to be of order $10^{-6}$ for first three $\Upsilon$ resonances, and we expect these decay modes should be discovered in the prospective high-luminosity $e^+e^-$ facilities such as super $B$ experiment. As a manifestation of the short-distance loop contribution, the relative phases among strong, electromagnetic and radiative decay amplitudes can be deduced. It is particularly interesting to find that the relative phase between strong and electromagnetic amplitudes is nearly orthogonal. The resonance-continuum interference effect for double charmonium production near various $\Upsilon$ resonances in $e^+e^-$ annihilation is addressed.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 18:27:09 GMT" } ]
2008-11-26T00:00:00
[ [ "Jia", "Yu", "" ] ]
0706.3686
Jonathan Keeling
Jonathan Keeling, Natalia G. Berloff
Spontaneous rotating vortex lattices in a pumped decaying condensate
Updated title and introduction. 4 pages, 3 figures
Phys. Rev. Lett. 100, 250401 (2008)
10.1103/PhysRevLett.100.250401
null
cond-mat.other
null
Injection and decay of particles in an inhomogeneous quantum condensate can significantly change its behaviour. We model trapped, pumped, decaying condensates by a complex Gross-Pitaevskii equation and analyse the density and currents in the steady state. With homogeneous pumping, rotationally symmetric solutions are unstable. Stability may be restored by a finite pumping spot. However if the pumping spot is larger than the Thomas-Fermi cloud radius, then rotationally symmetric solutions are replaced by solutions with spontaneous arrays of vortices. These vortex arrays arise without any rotation of the trap, spontaneously breaking rotational symmetry.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 18:01:59 GMT" }, { "version": "v2", "created": "Tue, 19 Feb 2008 09:58:02 GMT" }, { "version": "v3", "created": "Mon, 2 Jun 2008 08:37:42 GMT" } ]
2008-06-23T00:00:00
[ [ "Keeling", "Jonathan", "" ], [ "Berloff", "Natalia G.", "" ] ]
0706.3687
Claire Postlethwaite
Claire M. Postlethwaite and Mary Silber
Stabilizing unstable periodic orbits in the Lorenz equations using time-delayed feedback control
21 pages, 8 figures, to appear in PRE
null
10.1103/PhysRevE.76.056214
null
nlin.CD
null
For many years it was believed that an unstable periodic orbit with an odd number of real Floquet multipliers greater than unity cannot be stabilized by the time-delayed feedback control mechanism of Pyragus. A recent paper by Fiedler et al uses the normal form of a subcritical Hopf bifurcation to give a counterexample to this theorem. Using the Lorenz equations as an example, we demonstrate that the stabilization mechanism identified by Fiedler et al for the Hopf normal form can also apply to unstable periodic orbits created by subcritical Hopf bifurcations in higher-dimensional dynamical systems. Our analysis focuses on a particular codimension-two bifurcation that captures the stabilization mechanism in the Hopf normal form example, and we show that the same codimension-two bifurcation is present in the Lorenz equations with appropriately chosen Pyragus-type time-delayed feedback. This example suggests a possible strategy for choosing the feedback gain matrix in Pyragus control of unstable periodic orbits that arise from a subcritical Hopf bifurcation of a stable equilibrium. In particular, our choice of feedback gain matrix is informed by the Fiedler et al example, and it works over a broad range of parameters, despite the fact that a center-manifold reduction of the higher-dimensional problem does not lead to their model problem.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 18:12:51 GMT" }, { "version": "v2", "created": "Fri, 12 Oct 2007 15:03:47 GMT" } ]
2009-11-13T00:00:00
[ [ "Postlethwaite", "Claire M.", "" ], [ "Silber", "Mary", "" ] ]
0706.3688
Ali Chamseddine
Ali H. Chamseddine and Alain Connes
Why the Standard Model
13 pages
J.Geom.Phys.58:38-47,2008
10.1016/j.geomphys.2007.09.011
null
hep-th math.OA
null
The Standard Model is based on the gauge invariance principle with gauge group U(1)xSU(2)xSU(3) and suitable representations for fermions and bosons, which are begging for a conceptual understanding. We propose a purely gravitational explanation: space-time has a fine structure given as a product of a four dimensional continuum by a finite noncommutative geometry F. The raison d'etre for F is to correct the K-theoretic dimension from four to ten (modulo eight). We classify the irreducible finite noncommutative geometries of K-theoretic dimension six and show that the dimension (per generation) is a square of an integer k. Under an additional hypothesis of quaternion linearity, the geometry which reproduces the Standard Model is singled out (and one gets k=4)with the correct quantum numbers for all fields. The spectral action applied to the product MxF delivers the full Standard Model,with neutrino mixing, coupled to gravity, and makes predictions(the number of generations is still an input).
[ { "version": "v1", "created": "Mon, 25 Jun 2007 18:06:26 GMT" } ]
2008-11-26T00:00:00
[ [ "Chamseddine", "Ali H.", "" ], [ "Connes", "Alain", "" ] ]
0706.3689
Albert Fannjiang
Albert C. Fannjiang
Space-frequency correlation of classical waves in disordered media: high-frequency and small scale asymptotics
null
null
10.1209/0295-5075/80/14005
null
physics.optics physics.gen-ph
null
Two-frequency radiative transfer (2f-RT) theory is developed for geometrical optics in random media. The space-frequency correlation is described by the two-frequency Wigner distribution (2f-WD) which satisfies a closed form equation, the two-frequency Wigner-Moyal equation. In the RT regime it is proved rigorously that 2f-WD satisfies a Fokker-Planck-like equation with complex-valued coefficients. By dimensional analysis 2f-RT equation yields the scaling behavior of three physical parameters: the spatial spread, the coherence length and the coherence bandwidth. The sub-transport-mean-free-path behavior is obtained in a closed form by analytically solving a paraxial 2f-RT equation.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 18:08:47 GMT" } ]
2009-11-13T00:00:00
[ [ "Fannjiang", "Albert C.", "" ] ]
0706.3690
Ali Chamseddine
Ali H. Chamseddine, Alain Connes
Conceptual Explanation for the Algebra in the Noncommutative Approach to the Standard Model
Title change only. The title "A Dress for SM the Beggar" was changed by the Editor of Physical Review Letters
Phys.Rev.Lett.99:191601,2007
10.1103/PhysRevLett.99.191601
null
hep-th hep-ph
null
The purpose of this letter is to remove the arbitrariness of the ad hoc choice of the algebra and its representation in the noncommutative approach to the Standard Model, which was begging for a conceptual explanation. We assume as before that space-time is the product of a four-dimensional manifold by a finite noncommmutative space F. The spectral action is the pure gravitational action for the product space. To remove the above arbitrariness, we classify the irreducibe geometries F consistent with imposing reality and chiral conditions on spinors, to avoid the fermion doubling problem, which amounts to have total dimension 10 (in the K-theoretic sense). It gives, almost uniquely, the Standard Model with all its details, predicting the number of fermions per generation to be 16, their representations and the Higgs breaking mechanism, with very little input. The geometrical model is valid at the unification scale, and has relations connecting the gauge couplings to each other and to the Higgs coupling. This gives a prediction of the Higgs mass of around 170 GeV and a mass relation connecting the sum of the square of the masses of the fermions to the W mass square, which enables us to predict the top quark mass compatible with the measured experimental value. We thus manage to have the advantages of both SO(10) and Kaluza-Klein unification, without paying the price of plethora of Higgs fields or the infinite tower of states.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 18:18:23 GMT" }, { "version": "v2", "created": "Tue, 26 Jun 2007 15:46:24 GMT" }, { "version": "v3", "created": "Wed, 21 Nov 2007 08:09:02 GMT" } ]
2008-11-26T00:00:00
[ [ "Chamseddine", "Ali H.", "" ], [ "Connes", "Alain", "" ] ]
0706.3691
Loic Vanel
Pierre-Philippe Cortet (Phys-ENS), St\'ephane Santucci (Phys-ENS), Loic Vanel (Phys-ENS), Sergio Ciliberto (Phys-ENS)
Slow crack growth in polycarbonate films
null
Europhysics Letters (EPL) 2, 71 (15/07/2005) 242
10.1209/epl/i2005-10077-3
null
cond-mat.mtrl-sci physics.class-ph
null
We study experimentally the slow growth of a single crack in polycarbonate films submitted to uniaxial and constant imposed stress. The specificity of fracture in polycarbonate films is the appearance of flame shaped macroscopic process zones at the tips of the crack. Supported by an experimental study of the mechanical properties of polycarbonate films, an analysis of the stress dependence of the mean ratio between the process zone and crack lengths, during the crack growth, show a quantitative agreement with the Dugdale-Barenblatt model of the plastic process zone. We find that the fracture growth curves obey strong scaling properties that lead to a well defined growth master curve.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 18:23:58 GMT" } ]
2007-06-26T00:00:00
[ [ "Cortet", "Pierre-Philippe", "", "Phys-ENS" ], [ "Santucci", "Stéphane", "", "Phys-ENS" ], [ "Vanel", "Loic", "", "Phys-ENS" ], [ "Ciliberto", "Sergio", "", "Phys-ENS" ] ]
0706.3692
Guy D. Moore
Guy D. Moore
Next-to-Leading Order Shear Viscosity in lambda phi^4 Theory
4 pages, 1 figure. Typos fixed, tiny change in discussion
Phys.Rev.D76:107702,2007
10.1103/PhysRevD.76.107702
null
hep-ph
null
We show that the shear viscosity of lambda phi^4 theory is sensitive at next-to-leading order to soft physics, which gives rise to subleading corrections suppressed by only a half power of the coupling, eta = [3033.54 + 1548.3 m_{th}/T] N T^3]/[ (N+2)/3 lambda^2], with m^2_th=(N+2)/72 lambda T^2. The series appears to converge about as well (or badly) as the series for the pressure.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 18:40:22 GMT" }, { "version": "v2", "created": "Tue, 25 Sep 2007 15:05:15 GMT" } ]
2008-11-26T00:00:00
[ [ "Moore", "Guy D.", "" ] ]
0706.3693
Ioan Kosztin
Elijah Flenner, Francoise Marga, Adrian Neagu, Ioan Kosztin and Gabor Forgacs (University of Missouri - Columbia)
Relating Biophysical Properties Across Scales
24 pages, 10 figures, To appear in Current Topics in Developmental Biology
null
null
null
physics.bio-ph physics.comp-ph q-bio.CB q-bio.TO
null
A distinguishing feature of a multicellular living system is that it operates at various scales, from the intracellular to organismal. Very little is known at present on how tissue level properties are related to cell and subcellular properties. Modern measurement techniques provide quantitative results at both the intracellular and tissue level, but not on the connection between these. In the present work we outline a framework to address this connection. We specifically concentrate on the morphogenetic process of tissue fusion, by following the coalescence of two contiguous multicellular aggregates. The time evolution of this process can accurately be described by the theory of viscous liquids. We also study fusion by Monte Carlo simulations and a novel Cellular Particle Dynamics (CPD) model, which is similar to the earlier introduced Subcellular Element Model (Newman, 2005). Using the combination of experiments, theory and modeling we are able to relate the measured tissue level biophysical quantities to subcellular parameters. Our approach has validity beyond the particular morphogenetic process considered here and provides a general way to relate biophysical properties across scales.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 18:50:13 GMT" } ]
2007-06-26T00:00:00
[ [ "Flenner", "Elijah", "", "University of Missouri - Columbia" ], [ "Marga", "Francoise", "", "University of Missouri - Columbia" ], [ "Neagu", "Adrian", "", "University of Missouri - Columbia" ], [ "Kosztin", "Ioan", "", "University of Missouri - Columbia" ], [ "Forgacs", "Gabor", "", "University of Missouri - Columbia" ] ]
0706.3694
Laurent Favart
L. Favart
Status of the H1 Very Forward Proton Spectrometer
Proceedings of DIS07, 4 pages
null
null
null
physics.ins-det
null
The Very Forward Proton Spectrometer (VFPS) of the H1 experiment at HERA is collecting data since 2005. The fiber detectors in the Roman pots located at 218 and 222m downstream from the H1 interaction point, tag and measure diffractively scattered protons with a high acceptance in the $\xpom$ range [0.01, 0.025]. The experimental set up and the spectrometer tagging performance using diffractive events collected during 2006 and 2007 are discussed.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 18:43:33 GMT" } ]
2007-06-26T00:00:00
[ [ "Favart", "L.", "" ] ]
0706.3695
Danil Boukhvalov W
D. W. Boukhvalov, Yu. N. Gornostyrev, M. I. Katsnelson, A. I. Lichtenstein
Magnetism and local distortions near carbon impurity in $\gamma$-iron
4 pages 3 figures. Final version, accepted to Phys.Rev. Lett
Phys. Rev. Lett. 99, 247205 (2007)
10.1103/PhysRevLett.99.247205
null
cond-mat.mtrl-sci
null
Local perturbations of crystal and magnetic structure of $\gamma$-iron near carbon interstitial impurity is investigated by {\it ab initio} electronic structure calculations. It is shown that the carbon impurity creates locally a region of ferromagnetic ordering with substantial tetragonal distortions. Exchange integrals and solution enthalpy are calculated, the latter being in a very good agreement with experimental data. Effect of the local distortions on the carbon-carbon interactions in $\gamma$-iron is discussed.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 19:05:04 GMT" }, { "version": "v2", "created": "Thu, 1 Nov 2007 09:58:05 GMT" } ]
2008-09-05T00:00:00
[ [ "Boukhvalov", "D. W.", "" ], [ "Gornostyrev", "Yu. N.", "" ], [ "Katsnelson", "M. I.", "" ], [ "Lichtenstein", "A. I.", "" ] ]
0706.3696
Victor Guillemin
Victor Guillemin and Zuoqin Wang
The Mellin transform and spectral properties of toric varieties
null
null
null
null
math.SG
null
In this article we apply results of \cite{W} on the twisted Mellin transform to problems in toric geometry. In particular we use these results to describe the asymptotics of probability densities associated with the monomial eigenstates, $z^k$, $k \in \ZZ^d$, in Bargmann space and prove an "upstairs" version of the spectral density theorem of \cite{BGU}. We also obtain for the $z^k$'s, "upstairs" versions of the results of \cite{STZ} on distribution laws for eigenstates on toric varieties.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 19:10:41 GMT" }, { "version": "v2", "created": "Wed, 27 Jun 2007 16:10:40 GMT" } ]
2007-06-27T00:00:00
[ [ "Guillemin", "Victor", "" ], [ "Wang", "Zuoqin", "" ] ]
0706.3697
Amelia Sparavigna
J. Avloni, L. Florio, A.R. Henn and A. Sparavigna
Thermal electric effects and heat generation in polypyrrole coated PET fabrics
12 pages and 9 figures
Materials Sciences and Applications, Vol. 1 No. 4, 2010, pp. 253-259
10.4236/msa.2010.14037
null
cond-mat.mtrl-sci
null
Polypyrrole chemically synthesized on PET gives rise to textiles with a high electric conductivity, suitable for several applications from antistatics to electromagnetic interference shielding devices. Here, we discuss investigations on thermal electric performances of the polypyrrole coated PET in a wide range of temperatures above room temperature. The Seebeck coefficient turns out to be comparable with that of metal thermocouple materials. Since polypyrrole shows extremely low thermal diffusivities regardless of the electrical conductivity, the low thermal conductivity gives significant advantage to the thermoelectric figure-of-merit ZT, comparable with that of some traditional inorganic thermoelectric materials. The heat generation is also investigated for possible heating textile devices.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 19:18:21 GMT" } ]
2014-01-15T00:00:00
[ [ "Avloni", "J.", "" ], [ "Florio", "L.", "" ], [ "Henn", "A. R.", "" ], [ "Sparavigna", "A.", "" ] ]
0706.3698
Andrey N. Timokhin
A.N. Timokhin (1,2), D. Eichler (1), Yu. Lyubarsky (1) ((1) Ben-Gurion University of the Negev, Beer-Sheva, Israel; (2) Sternberg Astronomical Institute, Moscow, Russia)
On the nature of QPO in the tail of SGR giant flares
7 pages, 4 figures, emulateapj style
Astrophys.J.680:1398-1404,2008
10.1086/587925
null
astro-ph
null
A model is presented for the quasiperiodic component of magnetar emission during the tail phase of giant flares. The model invokes modulation of the particle number density in the magnetosphere. The magnetospheric currents are modulated by torsional motion of the surface and we calculate that the amplitude of neutron star surface oscillation should be ~1% of the NS radius in order to produce the observed features in the power spectrum. Using an axisymmetric analytical model for structure of the magnetosphere of an oscillating NS, we calculate the angular distribution of the optical depth to the resonant Compton scattering. The anisotropy of the optical depth may be why QPO are observed only at particular rotational phases.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 20:23:49 GMT" } ]
2010-11-11T00:00:00
[ [ "Timokhin", "A. N.", "" ], [ "Eichler", "D.", "" ], [ "Lyubarsky", "Yu.", "" ] ]
0706.3699
William H. Kinney
William H. Kinney (Univ. at Buffalo, SUNY)
Inflation after WMAP3
To appear in the proceedings of Colliders to Cosmic Rays 2007. 8 pages, 2 figures. (V2: Minor typo corrected)
AIP Conf.Proc.928:3-10,2007
10.1063/1.2775890
null
astro-ph hep-ph
null
I discuss the current status of inflationary cosmology in light of the recent WMAP 3-year data release. The basic predictions of inflation are all supported by the data. Inflation also makes predictions which have not been well tested by current data but can be by future experiments, most notably a deviation from a scale-invariant power spectrum and the production of primordial gravitational waves. A scale-invariant spectrum is disfavored by current data, but not conclusively. Tensor modes are currently poorly constrained, and slow-roll inflation does not make an unambiguous prediction of the expected amplitude of primordial gravitational waves. A tensor/scalar ratio of $r \simeq 0.01$ is within reach of near-future measurements.
[ { "version": "v1", "created": "Tue, 26 Jun 2007 18:33:46 GMT" }, { "version": "v2", "created": "Mon, 23 Jul 2007 20:23:54 GMT" } ]
2009-06-23T00:00:00
[ [ "Kinney", "William H.", "", "Univ. at Buffalo, SUNY" ] ]
0706.3700
Bart Willems
B. Willems (1), A. Vecchio (1,2), V. Kalogera (1) ((1) Northwestern U., (2) U. of Birmingham)
Probing white dwarf interiors with LISA: periastron precession in double white dwarfs
PRL, in press (expected publication date January 22, 2008)
Phys.Rev.Lett.100:041102,2008; Erratum-ibid.101:219903,2008
10.1103/PhysRevLett.100.041102
null
astro-ph gr-qc
null
In globular clusters, dynamical interactions give rise to a population of eccentric double white dwarfs detectable by the Laser Interferometer Space Antenna (LISA) up to the Large Magellanic Cloud. In this Letter, we explore the detectability of periastron precession in these systems with LISA. Unlike previous investigations, we consider contributions due to tidal and rotational distortions of the binary components in addition to general relativistic contributions to the periastron precession. At orbital frequencies above a few mHz, we find that tides and stellar rotation dominate, opening up a possibly unique window to the study of the interior and structure of white dwarfs.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 20:00:33 GMT" }, { "version": "v2", "created": "Thu, 17 Jan 2008 18:53:22 GMT" } ]
2008-12-18T00:00:00
[ [ "Willems", "B.", "" ], [ "Vecchio", "A.", "" ], [ "Kalogera", "V.", "" ] ]
0706.3701
Fabrizio Illuminati
F. Dell'Anno, S. De Siena, L. Albano Farias, F. Illuminati
Continuous variable quantum teleportation with non-Gaussian resources
12 pages, 12 figures
Phys. Rev. A 76, 022301 (2007)
10.1103/PhysRevA.76.022301
null
quant-ph
null
We investigate continuous variable quantum teleportation using non-Gaussian states of the radiation field as entangled resources. We compare the performance of different classes of degaussified resources, including two-mode photon-added and two-mode photon-subtracted squeezed states. We then introduce a class of two-mode squeezed Bell-like states with one-parameter dependence for optimization. These states interpolate between and include as subcases different classes of degaussified resources. We show that optimized squeezed Bell-like resources yield a remarkable improvement in the fidelity of teleportation both for coherent and nonclassical input states. The investigation reveals that the optimal non-Gaussian resources for continuous variable teleportation are those that most closely realize the simultaneous maximization of the content of entanglement, the degree of affinity with the two-mode squeezed vacuum and the, suitably measured, amount of non-Gaussianity.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 20:09:32 GMT" } ]
2007-08-03T00:00:00
[ [ "Dell'Anno", "F.", "" ], [ "De Siena", "S.", "" ], [ "Farias", "L. Albano", "" ], [ "Illuminati", "F.", "" ] ]
0706.3702
Mark R. Krumholz
Mark R. Krumholz (Princeton University)
From Massive Cores to Massive Stars
8 pages, 2 figures, ASP format, to be published in "Pathways Through an Eclectic Universe", eds. J. Knapen, T. Mahoney, & A. Vazdekis
null
null
null
astro-ph
null
The similarity between the mass and spatial distributions of pre-stellar gas cores in star-forming clouds and young stars in clusters provides strong circumstantial evidence that these gas cores are the direct progenitors of individual stars. Here I describe a physical model for the evolution of massive cores into stars, starting with the initial phases of collapse and fragmentation, through disk formation and fragmentation, the later phases of stellar feedback, and finally interaction of the newly formed stars with their environments. This model shows that a direct mapping from cores to stars is the natural physical outcome of massive core evolution, and thereby allows us to explain many of the properties of young star clusters as direct imprints of their gas-phase progenitors.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 20:10:32 GMT" } ]
2007-06-27T00:00:00
[ [ "Krumholz", "Mark R.", "", "Princeton University" ] ]
0706.3703
Xufen Wu
Xufen Wu, HongSheng Zhao, Benoit Famaey, G. Gentile, O. Tiret, F. Combes, G.W. Angus, A.C. Robin
Loss of mass and stability of galaxies in MOND
4 pages, 2 figures, ApJ Letters
Astrophys.J. 665 (2007) L101-L104
10.1086/521103
null
astro-ph
null
The self-binding energy and stability of a galaxy in MOND-based gravity are curiously decreasing functions of its center of mass acceleration towards neighbouring mass concentrations. A tentative indication of this breaking of the Strong Equivalence Principle in field galaxies is the RAVE-observed escape speed in the Milky Way. Another consequence is that satellites of field galaxies will move on nearly Keplerian orbits at large radii (100 - 500 kpc), with a declining speed below the asymptotically constant naive MOND prediction. But consequences of an environment-sensitive gravity are even more severe in clusters, where member galaxies accelerate fast: no more Dark-Halo-like potential is present to support galaxies, meaning that extended axisymmetric disks of gas and stars are likely unstable. These predicted reappearance of asymptotic Keplerian velocity curves and disappearance of "stereotypic galaxies" in clusters are falsifiable with targeted surveys.
[ { "version": "v1", "created": "Tue, 26 Jun 2007 18:24:02 GMT" }, { "version": "v2", "created": "Wed, 27 Jun 2007 16:06:48 GMT" } ]
2009-11-13T00:00:00
[ [ "Wu", "Xufen", "" ], [ "Zhao", "HongSheng", "" ], [ "Famaey", "Benoit", "" ], [ "Gentile", "G.", "" ], [ "Tiret", "O.", "" ], [ "Combes", "F.", "" ], [ "Angus", "G. W.", "" ], [ "Robin", "A. C.", "" ] ]
0706.3704
Stephen Kane
Stephen R. Kane
Detectability of Exoplanetary Transits from Radial Velocity Surveys
11 pages, 8 figures, accepted for publication in MNRAS, minor correction
Mon.Not.Roy.Astron.Soc.380:1488-1496,2007
10.1111/j.1365-2966.2007.12144.x
null
astro-ph
null
Of the known transiting extra-solar planets, a few have been detected through photometric follow-up observations of radial velocity planets. Perhaps the best known of these is the transiting exoplanet HD 209458b. For hot Jupiters (periods less than ~5 days), the a priori information that 10% of these planets will transit their parent star due to the geometric transit probability leads to an estimate of the expected transit yields from radial velocity surveys. The radial velocity information can be used to construct an effective photometric follow-up strategy which will provide optimal detection of possible transits. Since the planet-harbouring stars are already known in this case, one is only limited by the photometric precision achieveable by the chosen telescope/instrument. The radial velocity modelling code presented here automatically produces a transit ephemeris for each planet dataset fitted by the program. Since the transit duration is brief compared with the fitted period, we calculate the maximum window for obtaining photometric transit observations after the radial velocity data have been obtained, generalising for eccentric orbits. We discuss a typically employed survey strategy which may contribute to a possible radial velocity bias against detection of the very hot Jupiters which have dominated the transit discoveries. Finally, we describe how these methods can be applied to current and future radial velocity surveys.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 20:15:09 GMT" }, { "version": "v2", "created": "Mon, 2 Jul 2007 11:47:08 GMT" }, { "version": "v3", "created": "Sun, 16 Sep 2007 18:42:00 GMT" } ]
2009-06-23T00:00:00
[ [ "Kane", "Stephen R.", "" ] ]
0706.3705
Antoine Letessier-Selvon
Pierre Billoir and Antoine Letessier-Selvon
A coverage independent method to analyze large scale anisotropies
8 pages, 6 figures
Astropart.Phys.29:14-19,2008
10.1016/j.astropartphys.2007.11.004
null
astro-ph
null
The arrival time distribution of cosmic ray events is well suited to extract information regarding sky anisotropies. For an experiment with nearly constant exposure, the frequency resolution one can achieve is given by the inverse of the time $T$ during which the data was recorded. For $T$ larger than one calendar year the resolution becomes sufficient to resolve the sidereal and diurnal frequencies. Using a Fourier expansion on a modified time parameter, we show in this note that one can accurately extract sidereal modulations without knowledge of the experimental coverage. This procedure also gives the full frequency pattern of the event sample under studies which contains important information about possible systematics entering in the sidereal analysis. We also show how this method allows to correct for those systematics. Finally, we show that a two dimensional analysis, in the form of the spherical harmonic ($Y_l^m$) decomposition, can be performed under the same conditions for all $m\ne 0$.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 20:15:52 GMT" } ]
2009-06-23T00:00:00
[ [ "Billoir", "Pierre", "" ], [ "Letessier-Selvon", "Antoine", "" ] ]
0706.3706
Yuexing Li
Yuexing Li, Philip F. Hopkins, Lars Hernquist, Douglas P. Finkbeiner, Thomas J. Cox (Harvard/CfA), Volker Springel (MPA), Linhua Jiang, Xiaohui Fan (Arizona), Naoki Yoshida (Nagoya)
Modeling the Dust Properties of z ~ 6 Quasars with ART^2 -- All-wavelength Radiative Transfer with Adaptive Refinement Tree
26 pages, 22 figures, accepted by ApJ. Version with full resolution images is available at http://www.cfa.harvard.edu/~yxli/ARTDUST/astroph0706.3706.pdf
null
10.1086/529364
null
astro-ph
null
The detection of large quantities of dust in z ~ 6 quasars by infrared and radio surveys presents puzzles for the formation and evolution of dust in these early systems. Previously (Li et al. 2007), we showed that luminous quasars at z > 6 can form through hierarchical mergers of gas-rich galaxies. Here, we calculate the dust properties of simulated quasars and their progenitors using a three-dimensional Monte Carlo radiative transfer code, ART^2 -- All-wavelength Radiative Transfer with Adaptive Refinement Tree. ART^2 incorporates a radiative equilibrium algorithm for dust emission, an adaptive grid for inhomogeneous density, a multiphase model for the ISM, and a supernova-origin dust model. We reproduce the SED and dust properties of SDSS J1148+5251, and find that the infrared emission are closely associated with the formation and evolution of the quasar host. The system evolves from a cold to a warm ULIRG owing to heating and feedback from stars and AGN. Furthermore, the AGN has significant implications for the interpretation of observation of the hosts. Our results suggest that vigorous star formation in merging progenitors is necessary to reproduce the observed dust properties of z~6 quasars, supporting a merger-driven origin for luminous quasars at high redshifts and the starburst-to-quasar evolutionary hypothesis. (Abridged)
[ { "version": "v1", "created": "Tue, 26 Jun 2007 03:57:05 GMT" }, { "version": "v2", "created": "Wed, 27 Jun 2007 21:40:18 GMT" }, { "version": "v3", "created": "Wed, 9 Jan 2008 03:14:27 GMT" } ]
2009-11-13T00:00:00
[ [ "Li", "Yuexing", "", "Harvard/CfA" ], [ "Hopkins", "Philip F.", "", "Harvard/CfA" ], [ "Hernquist", "Lars", "", "Harvard/CfA" ], [ "Finkbeiner", "Douglas P.", "", "Harvard/CfA" ], [ "Cox", "Thomas J.", "", "Harvard/CfA" ], [ "Springel", "Volker", "", "MPA" ], [ "Jiang", "Linhua", "", "Arizona" ], [ "Fan", "Xiaohui", "", "Arizona" ], [ "Yoshida", "Naoki", "", "Nagoya" ] ]
0706.3707
Brian Harbourne
Cristiano Bocci (University of Siena), Brian Harbourne (University of Nebraska)
Comparing powers and symbolic powers of ideals
15 pages, to appear, Journal of Algebraic Geometry; version 2: minor expositional changes, typos fixed, and references and Bocci's address updated
null
null
null
math.AG math.AC
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We develop tools to study the problem of containment of symbolic powers $I^{(m)}$ in powers $I^r$ for a homogeneous ideal $I$ in a polynomial ring $k[{\bf P}^N]$ in $N+1$ variables over an algebraically closed field $k$. We obtain results on the structure of the set of pairs $(r,m)$ such that $I^{(m)}\subseteq I^r$. As corollaries, we show that $I^2$ contains $I^{(3)}$ whenever $S$ is a finite generic set of points in ${\bf P}^2$ (thereby giving a partial answer to a question of Huneke), and we show that the containment theorems of Ein-Lazarsfeld-Smith and Hochster-Huneke are optimal for every fixed dimension and codimension.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 20:31:35 GMT" }, { "version": "v2", "created": "Wed, 24 Jun 2009 14:20:24 GMT" } ]
2009-06-24T00:00:00
[ [ "Bocci", "Cristiano", "", "University of Siena" ], [ "Harbourne", "Brian", "", "University of\n Nebraska" ] ]
0706.3708
Steven G. Krantz
Steven G. Krantz and Marco M. Peloso
The Bergman kernel and projection on non-smooth worm domains
null
null
null
AIM 2007-29
math.CV math.AP
null
This paper provides a precise asymptotic expansion for the Bergman kernel on the non-smooth worm domains of Christer Kiselman in complex 2-space. Applications are given to the failure of Condition R, to deviant boundary behavior of the kernel, and to L^p mapping properties of the kernel.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 20:32:52 GMT" } ]
2007-06-27T00:00:00
[ [ "Krantz", "Steven G.", "" ], [ "Peloso", "Marco M.", "" ] ]
0706.3709
Ji\v{r}\'i Kub\'at
J. Kubat, D. Korcakova, A. Kawka, A. Pigulski, M. Slechta, P. Skoda
The H-alpha stellar and interstellar emission in the open cluster NGC 6910
accepted to Astronomy and Astrophysics
Astronomy and Astrophysics 472 (2007), 163 - 167
10.1051/0004-6361:20077171
null
astro-ph
null
We verify the nature of emission-line stars in the field of the open cluster NGC 6910. % Spectroscopy in the H-alpha region was obtained. Raw CCD frames of spectra of all stars fainter than V = 9 mag observed by us are significantly affected by nebular emission originating in the surrounding HII region IC 1318. After careful data reduction and subtraction of the nebular radiation we succeeded in obtaining reliable stellar spectra. We confirm that the star NGC 6910 37 is a Be star, and we have corrected the classification of V1973 Cyg from an Ae star to a normal A type star. Since the diffuse interstellar bands do not appear in the spectrum of this star while being present in the other stars we observed, we confirm that V1973 Cyg is a foreground object with respect to IC 1318 and NGC 6910. We also find that the H-alpha line in HD 194279 has a P Cygni profile and the H-alpha line profile is variable in HD 229196.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 20:36:53 GMT" } ]
2007-08-16T00:00:00
[ [ "Kubat", "J.", "" ], [ "Korcakova", "D.", "" ], [ "Kawka", "A.", "" ], [ "Pigulski", "A.", "" ], [ "Slechta", "M.", "" ], [ "Skoda", "P.", "" ] ]
0706.3710
Shivratna Srinivasan
Shivratna Giri Srinivasan and Mahesh K. Varanasi
Optimal Constellations for the Low SNR Noncoherent MIMO Block Rayleigh Fading Channel
52 pages, to appear in IEEE Transactions on Information Theory
null
null
null
cs.IT math.IT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Reliable communication over the discrete-input/continuous-output noncoherent multiple-input multiple-output (MIMO) Rayleigh block fading channel is considered when the signal-to-noise ratio (SNR) per degree of freedom is low. Two key problems are posed and solved to obtain the optimum discrete input. In both problems, the average and peak power per space-time slot of the input constellation are constrained. In the first one, the peak power to average power ratio (PPAPR) of the input constellation is held fixed, while in the second problem, the peak power is fixed independently of the average power. In the first PPAPR-constrained problem, the mutual information, which grows as O(SNR^2), is maximized up to second order in SNR. In the second peak-constrained problem, where the mutual information behaves as O(SNR), the structure of constellations that are optimal up to first order, or equivalently, that minimize energy/bit, are explicitly characterized. Furthermore, among constellations that are first-order optimal, those that maximize the mutual information up to second order, or equivalently, the wideband slope, are characterized. In both PPAPR-constrained and peak-constrained problems, the optimal constellations are obtained in closed-form as solutions to non-convex optimizations, and interestingly, they are found to be identical. Due to its special structure, the common solution is referred to as Space Time Orthogonal Rank one Modulation, or STORM. In both problems, it is seen that STORM provides a sharp characterization of the behavior of noncoherent MIMO capacity.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 20:40:45 GMT" }, { "version": "v2", "created": "Wed, 27 Jun 2007 00:40:49 GMT" }, { "version": "v3", "created": "Mon, 22 Sep 2008 13:08:09 GMT" } ]
2008-09-22T00:00:00
[ [ "Srinivasan", "Shivratna Giri", "" ], [ "Varanasi", "Mahesh K.", "" ] ]
0706.3711
Karl Rubin
K. Rubin and A. Silverberg
Point counting on reductions of CM elliptic curves
Minor corrections. To appear in Journal of Number Theory
null
10.1016/j.jnt.2009.01.020
null
math.NT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We give explicit formulas for the number of points on reductions of elliptic curves with complex multiplication by any imaginary quadratic field. We also find models for CM $\mathbf{Q}$-curves in certain cases. This generalizes earlier results of Gross, Stark, and others.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 21:14:08 GMT" }, { "version": "v2", "created": "Fri, 13 Jun 2008 23:56:40 GMT" }, { "version": "v3", "created": "Wed, 21 Jan 2009 03:08:42 GMT" }, { "version": "v4", "created": "Thu, 6 Aug 2009 04:48:29 GMT" } ]
2009-08-06T00:00:00
[ [ "Rubin", "K.", "" ], [ "Silverberg", "A.", "" ] ]
0706.3712
Yuri Lvov
Yuri V. Lvov, Kurt L. Polzin, Naoto Yokoyama
Resonant and Near-Resonant Internal Wave Interactions
null
Journal of Physical Oceanography, 669-691, 42, (2012)
null
null
physics.flu-dyn physics.ao-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We report evaluations of a resonant kinetic equation that suggest the slow time evolution of the Garrett and Munk spectrum is {\em not}, in fact, slow. Instead nonlinear transfers lead to evolution time scales that are smaller than one wave period at high vertical wavenumber. Such values of the transfer rates are inconsistent with conventional wisdom that regards the Garrett and Munk spectrum as an approximate stationary state and puts the self-consistency of a resonant kinetic equation at a serious risk. We explore possible reasons for and resolutions of this paradox. Inclusion of near-resonant interactions decreases the rate at which the spectrum evolves. This leads to improved self-consistency of the kinetic equation.
[ { "version": "v1", "created": "Tue, 26 Jun 2007 13:29:16 GMT" }, { "version": "v2", "created": "Mon, 30 Jun 2008 15:51:51 GMT" }, { "version": "v3", "created": "Thu, 2 Sep 2010 20:09:39 GMT" }, { "version": "v4", "created": "Tue, 7 Sep 2010 16:20:12 GMT" } ]
2020-06-05T00:00:00
[ [ "Lvov", "Yuri V.", "" ], [ "Polzin", "Kurt L.", "" ], [ "Yokoyama", "Naoto", "" ] ]
0706.3713
Ashish Orpe
Qing Xu, Ashish V. Orpe, and Arshad Kudrolli
Lubrication effects on the flow of wet granular materials
7 pages, 8 figures
Phys. Rev. E, 76, 031302 (2007)
10.1103/PhysRevE.76.031302
null
cond-mat.soft
null
We investigate the dynamics of a partially saturated grain-liquid mixture with a rotating drum apparatus. The drum is partially filled with the mixture and then rotated about its horizontal axis. We focus on the continous avalanching regime and measure the impact of volume fraction and viscosity of the liquid on the dynamic surface angle. The inclination angle of the surface is observed to increase sharply to a peak and then decrease as a function of liquid volume fraction. The height of the peak is observed to increase with rotation rate. For higher liquid volume fractions, the inclination angle of the surface can decrease with viscosity before increasing. The viscosity where the minima occurs decreases with the rotation rate of the drum. Limited measurements of the flow depth were made, and these were observed to show only fractional changes with volume fraction and rotation speeds. We show that the qualitative features of our observations can be understood by analyzing the effect of lubrication forces on the timescale over which particles come in contact.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 21:19:24 GMT" } ]
2009-11-13T00:00:00
[ [ "Xu", "Qing", "" ], [ "Orpe", "Ashish V.", "" ], [ "Kudrolli", "Arshad", "" ] ]