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0706.3414
Douglas Smith
Rae M. Robertson and Douglas E. Smith
Direct measurement of the intermolecular forces confining a single molecule in an entangled polymer solution
11 pages, 3 figures
null
10.1103/PhysRevLett.99.126001
null
cond-mat.soft
null
We use optical tweezers to directly measure the intermolecular forces acting on a single polymer imposed by surrounding entangled polymers (115 kbp DNA, 1 mg/ml). A tube-like confining field was measured in accord with the key assumption of reptation models. A time-dependent harmonic potential opposed transverse displacement, in accord with recent simulation findings. A tube radius of 0.8 microns was determined, close to the predicted value (0.5 microns). Three relaxation modes (~0.4, 5 and 30 s) were measured following transverse displacement, consistent with predicted relaxation mechanisms.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 16:50:55 GMT" } ]
2009-11-13T00:00:00
[ [ "Robertson", "Rae M.", "" ], [ "Smith", "Douglas E.", "" ] ]
0706.3415
Jeffrey Humpherys
Nicola Costanzino, Jeffrey Humpherys, Toan Nguyen, Kevin Zumbrun
Spectral stability of noncharacteristic isentropic Navier-Stokes boundary layers
null
null
10.1007/s00205-008-0153-1
null
math.AP
null
Building on work of Barker, Humpherys, Lafitte, Rudd, and Zumbrun in the shock wave case, we study stability of compressive, or "shock-like", boundary layers of the isentropic compressible Navier-Stokes equations with gamma-law pressure by a combination of asymptotic ODE estimates and numerical Evans function computations. Our results indicate stability for gamma in the interval [1, 3] for all compressive boundary-layers, independent of amplitude, save for inflow layers in the characteristic limit (not treated). Expansive inflow boundary-layers have been shown to be stable for all amplitudes by Matsumura and Nishihara using energy estimates. Besides the parameter of amplitude appearing in the shock case, the boundary-layer case features an additional parameter measuring displacement of the background profile, which greatly complicates the resulting case structure. Moreover, inflow boundary layers turn out to have quite delicate stability in both large-displacement and large-amplitude limits, necessitating the additional use of a mod-two stability index studied earlier by Serre and Zumbrun in order to decide stability.
[ { "version": "v1", "created": "Fri, 22 Jun 2007 22:45:05 GMT" } ]
2017-06-12T00:00:00
[ [ "Costanzino", "Nicola", "" ], [ "Humpherys", "Jeffrey", "" ], [ "Nguyen", "Toan", "" ], [ "Zumbrun", "Kevin", "" ] ]
0706.3416
Jeffrey H. Shapiro
Saikat Guha, Jeffrey H. Shapiro, and Baris I. Erkmen
Classical capacity of bosonic broadcast communication and a new minimum output entropy conjecture
13 pages, 7 figures
Phys. Rev. A 76, 032303 (2007)
10.1103/PhysRevA.76.032303
null
quant-ph
null
Previous work on the classical information capacities of bosonic channels has established the capacity of the single-user pure-loss channel, bounded the capacity of the single-user thermal-noise channel, and bounded the capacity region of the multiple-access channel. The latter is a multi-user scenario in which several transmitters seek to simultaneously and independently communicate to a single receiver. We study the capacity region of the bosonic broadcast channel, in which a single transmitter seeks to simultaneously and independently communicate to two different receivers. It is known that the tightest available lower bound on the capacity of the single-user thermal-noise channel is that channel's capacity if, as conjectured, the minimum von Neumann entropy at the output of a bosonic channel with additive thermal noise occurs for coherent-state inputs. Evidence in support of this minimum output entropy conjecture has been accumulated, but a rigorous proof has not been obtained. In this paper, we propose a new minimum output entropy conjecture that, if proved to be correct, will establish that the capacity region of the bosonic broadcast channel equals the inner bound achieved using a coherent-state encoding and optimum detection. We provide some evidence that supports this new conjecture, but again a full proof is not available.
[ { "version": "v1", "created": "Fri, 22 Jun 2007 23:41:42 GMT" } ]
2009-11-13T00:00:00
[ [ "Guha", "Saikat", "" ], [ "Shapiro", "Jeffrey H.", "" ], [ "Erkmen", "Baris I.", "" ] ]
0706.3417
Chih-Chun Chien
Chih-Chun Chien, Yan He, Qijin Chen and K. Levin
Superfuid-insulator transitions at non-integer filling in optical lattices of fermionic atoms
4 pages, 3 figures, submitted to Phys. Rev. A
Phys. Rev. A 77, 011601(R) (2008)
10.1103/PhysRevA.77.011601
null
cond-mat.other cond-mat.quant-gas cond-mat.str-el cond-mat.supr-con
null
We determine the superfluid transition temperatures $T_c$ and the ground states of the attractive Hubbard model and find new insulating phases associated with non-integer filling at sufficiently strong pairing attraction $|U|$. These states, distinct from band and Mott insulating phases, derive from pair localization; pair hopping at large $|U|$ and high densities is impeded by inter-site, inter-pair repulsive interactions. The best way to detect the breakdown of superfluidity is using fermionic optical lattices which should reveal new forms of ``bosonic'' order, reflecting ground state pairing without condensation.
[ { "version": "v1", "created": "Fri, 22 Jun 2007 22:54:40 GMT" }, { "version": "v2", "created": "Thu, 13 Sep 2007 18:10:31 GMT" } ]
2011-09-13T00:00:00
[ [ "Chien", "Chih-Chun", "" ], [ "He", "Yan", "" ], [ "Chen", "Qijin", "" ], [ "Levin", "K.", "" ] ]
0706.3418
Dagim Tilahun
Dagim Tilahun, Gregory A. Fiete
Tunneling Density of States, Pair Correlation, and Josephson Current in Spin-Incoherent Luttinger Liquid-Superconductor Hybrid Systems
5 pages, 2 figures, definition of the spin-incoherent luttinger regime clarified, references 3 and 10 updated
Phys. Rev. B 77, 140505(R) (2008)
10.1103/PhysRevB.77.140505
NSF-KITP-07-150
cond-mat.str-el cond-mat.mes-hall
null
We study a hybrid system consisting of a spin-incoherent Luttinger liquid adjoined at one or both ends to a superconductor. We find the tunneling density of states diverges at low energies and exhibits a universal frequency dependence independent of the strength of the interactions in the system. We show that in spite of exponentially decaying pair correlations with distance into the spin-incoherent Luttinger liquid, the Josephson current remains robust. Compared to the zero temperature Luttinger liquid case there is a factor of 2 reduction in the critical current and a halving of the period in the phase difference between the superconductors. Our results open the way for a new class of experiments in the spin-incoherent regime of one dimensional systems.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 17:02:27 GMT" }, { "version": "v2", "created": "Fri, 10 Aug 2007 22:44:08 GMT" } ]
2008-04-26T00:00:00
[ [ "Tilahun", "Dagim", "" ], [ "Fiete", "Gregory A.", "" ] ]
0706.3419
Giovanni Cantatore
E. Zavattini (Deceased January 9, 2007), G. Zavattini, G. Raiteri, G. Ruoso, E. Polacco, E. Milotti, V. Lozza, M. Karuza, U. Gastaldi, G. Di Domenico, F. Della Valle, R. Cimino, S. Carusotto, G. Cantatore, M. Bregant (PVLAS Collaboration)
New PVLAS results and limits on magnetically induced optical rotation and ellipticity in vacuum
25 pages, 7 figures Main changes rel. to v.2: minor changes to abstract, replaced Figures 4,5,6, corrected typographical errors. Paper submitted to Physical Review D
Phys.Rev.D77:032006,2008
10.1103/PhysRevD.77.032006
null
hep-ex
null
IIn 2006 the PVLAS collaboration reported the observation of an optical rotation generated in vacuum by a magnetic field. To further check against possible instrumental artifacts several upgrades to the PVLAS apparatus have been made during the last year. Two data taking runs, at the wavelength of 1064 nm, have been performed in the new configuration with magnetic field strengths of 2.3 T and 5 T. The 2.3 T field value was chosen in order to avoid stray fields. The new observations do not show the presence of a rotation signal down to the levels of $1.2\cdot 10^{-8}$ rad at 5 T and $1.0\cdot 10^{-8}$ rad at 2.3 T (at 95% c.l.) with 45000 passes in the magnetic field zone. In the same conditions no ellipticity signal was detected down to $1.4\cdot 10^{-8}$ at 2.3 T (at 95% c.l.), whereas at 5 T a signal is still present. The physical nature of this ellipticity as due to an effect depending on $B^2$ can be excluded by the measurement at 2.3 T. These new results completely exclude the previously published magnetically induced vacuum dichroism results, indicating that they were instrumental artifacts. These new results therefore also exclude the particle interpretation of the previous PVLAS results as due to a spin zero boson. The background ellipticity at 2.3 T can be used to determine a new limit on the total photon-photon scattering cross section of $\sigma_{\gamma\gamma} < 4.5 \cdot10^{-34}$ barn at 95% c.l..
[ { "version": "v1", "created": "Sat, 23 Jun 2007 07:51:58 GMT" }, { "version": "v2", "created": "Tue, 25 Sep 2007 22:25:59 GMT" }, { "version": "v3", "created": "Thu, 22 Nov 2007 12:27:48 GMT" } ]
2008-11-26T00:00:00
[ [ "Zavattini", "E.", "", "Deceased January 9, 2007" ], [ "Zavattini", "G.", "", "PVLAS Collaboration" ], [ "Raiteri", "G.", "", "PVLAS Collaboration" ], [ "Ruoso", "G.", "", "PVLAS Collaboration" ], [ "Polacco", "E.", "", "PVLAS Collaboration" ], [ "Milotti", "E.", "", "PVLAS Collaboration" ], [ "Lozza", "V.", "", "PVLAS Collaboration" ], [ "Karuza", "M.", "", "PVLAS Collaboration" ], [ "Gastaldi", "U.", "", "PVLAS Collaboration" ], [ "Di Domenico", "G.", "", "PVLAS Collaboration" ], [ "Della Valle", "F.", "", "PVLAS Collaboration" ], [ "Cimino", "R.", "", "PVLAS Collaboration" ], [ "Carusotto", "S.", "", "PVLAS Collaboration" ], [ "Cantatore", "G.", "", "PVLAS Collaboration" ], [ "Bregant", "M.", "", "PVLAS Collaboration" ] ]
0706.3420
Marcelo Grynberg
M. D. Grynberg
Non-universal dynamics of dimer growing interfaces
11 pages, 7 figures. v2 with some slight corrections
Phys. Rev. E 76, 031605 (2007)
10.1103/PhysRevE.76.031605
null
cond-mat.stat-mech cond-mat.soft
null
A finite temperature version of body-centered solid-on-solid growth models involving attachment and detachment of dimers is discussed in 1+1 dimensions. The dynamic exponent of the growing interface is studied numerically via the spectrum gap of the underlying evolution operator. The finite size scaling of the latter is found to be affected by a standard surface tension term on which the growth rates depend. This non-universal aspect is also corroborated by the growth behavior observed in large scale simulations. By contrast, the roughening exponent remains robust over wide temperature ranges.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 00:02:58 GMT" }, { "version": "v2", "created": "Thu, 27 Sep 2007 03:31:08 GMT" } ]
2007-09-27T00:00:00
[ [ "Grynberg", "M. D.", "" ] ]
0706.3421
Peter Jonker
Peter G. Jonker, Daniel Steeghs, Deepto Chakrabarty, Adrienne M. Juett
The cold neutron star in the soft X-ray transient 1H 1905+000
5 pages, 3 figures, accepted for publication in ApJ Letters
null
10.1086/521079
null
astro-ph
null
We report on our analysis of 300 ks of Chandra observations of the neutron star soft X-ray transient 1H1905+000 in quiescence. We do not detect the source down to a 95% confidence unabsorbed flux upper limit of 2E-16 erg cm-2 s-1 in the 0.5-10 keV energy range for an assumed Gamma=2 power law spectral model. A limit of 1.4E-16 erg cm-2 s-1 is derived if we assume that the spectrum of 1H1905+000 in quiescence is described well with a black body of temperature of 0.2 keV. For the upper limit to the source distance of 10 kpc this yields a 0.5-10 keV luminosity limit of 2.4E30 / 1.7E30 erg/s for the abovementioned power law or black body spectrum, respectively. This luminosity limit is lower than the luminosity of A0620-00, the weakest black hole soft X-ray transient in quiescence reported so far. Together with the uncertainties in relating the mass transfer and mass accretion rates we come to the conclusion that the claim that there is evidence for the presence of a black hole event horizon on the basis of a lower quiescent luminosity for black holes than for neutron stars is unproven. We also briefly discuss the implications of the low quiescent luminosity of 1H1905+000 for the neutron star equation of state. Using deep Magellan images of the field of 1H1905+000 obtained at excellent observing conditions we do not detect the quiescent counterpart at the position of the outburst optical counterpart down to a magnitude limit of i'>25.3. This can be converted to a limit on the absolute magnitude of the counterpart of I>9.6 which implies that the counterpart can only be a brown or a white dwarf.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 01:15:43 GMT" } ]
2009-11-13T00:00:00
[ [ "Jonker", "Peter G.", "" ], [ "Steeghs", "Daniel", "" ], [ "Chakrabarty", "Deepto", "" ], [ "Juett", "Adrienne M.", "" ] ]
0706.3422
Florian Conrady
Florian Conrady (Penn State U.)
Dual representation of Polyakov loop in 3d SU(2) lattice Yang-Mills theory
17 pages, 6 figures; minor changes
null
null
IGPG-07/6-7
hep-lat
null
We consider the expectation value of a Polyakov loop in 3d SU(2) lattice Yang--Mills theory and transform it to the dual representation in terms of sums over spins. The spin dependence of the amplitudes is computed explicitly by a graphical method. We also determine the asymptotic (large spin) limit of the amplitude factors.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 21:43:10 GMT" }, { "version": "v2", "created": "Mon, 15 Oct 2007 01:35:09 GMT" } ]
2007-10-15T00:00:00
[ [ "Conrady", "Florian", "", "Penn State U." ] ]
0706.3423
Florian Conrady
Florian Conrady (Penn State U.) and Igor Khavkine (Western Ontario U.)
An exact string representation of 3d SU(2) lattice Yang--Mills theory
12 pages, 7 figures
null
null
IGPG-07/6-8
hep-th hep-lat
null
We show that 3d SU(2) lattice Yang--Mills theory can be cast in the form of an exact string representation. The derivation starts from the exact dual (or spin foam) representation of the lattice gauge theory. We prove that every dual configuration (or spin foam) can be equivalently described as a self--avoiding worldsheet of strings on a framing of the lattice. Using this correspondence, we translate the partition function into a sum over closed worldsheets that are weighted with explicit amplitudes. The expectation value of two Polyakov loops with spin j becomes a sum over worldsheets that are bounded by 2j strings along a framing of the loops.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 14:24:49 GMT" } ]
2007-07-03T00:00:00
[ [ "Conrady", "Florian", "", "Penn State U." ], [ "Khavkine", "Igor", "", "Western Ontario U." ] ]
0706.3424
Ryan Mallery
Ryan P. Mallery, R. Michael Rich, Samir Salim, Todd Small, Stephane Charlot, Mark Seibert, Ted Wyder, Tom A. Barlow, Karl Forster, Peter G. Friedman, D. Christopher Martin, Patrick Morissey, Susan G. Neff, David Schiminovivich, Luciana Bianchi, Jose Donas, Timothy M. Heckman, Young-Wook Lee, Barry F. Madore, Bruno Milliard, Alex S. Szalay, Barry Y. Welsh, Suk Young Yi
Keck/Deimos Spectroscopy of a GALEX UV Selecte Sample from the Medium Imaging Survey
19 pages 11 figures, 2 tables, Accepted ot ApJ GALEX Special Issue
null
10.1086/516638
null
astro-ph
null
We report results from a pilot program to obtain spectroscopy for objects detected in the Galaxy Evolution Explorer (GALEX) Medium Imaging Survey (MIS). Our study examines the properties of galaxies detected by GALEX fainter than the Sloan Digital Sky Survey (SDSS) spectroscopic survey. This is the first study to extend the techinques of Salim et al. 2005 to estimate stellar masses, star formation rates (SFR) and the b (star formation history) parameter for star-forming galaxies out to z~0.7. We obtain redshifts for 50 GALEX MIS sources reaching NUV=23.9 (AB mag), having counterparts in the SDSS Data Release 4 (DR4). Of our sample, 43 are starforming galaxies with z<0.7, 3 have emission line ratios indicative of AGN with z<0.7, and 4 objects with z~1 are QSOs, 3 of which are not previously cataloged. We compare our sample to a much larger sample of ~50,000 matched GALEX/SDSS galaxies with SDSS spectroscopy; while our survey is shallow, the optical counterparts to our sources reach ~3 magnitudes fainter in SDSS r magnitude than the SDSS spectroscopic sample. We use emission line diagnostics for the galaxies to determine that the sample contains mostly star-forming galaxies. The galaxies in the sample populate the blue sequence in the NUV-r vs M_r color-magnitude diagram. Our sample has SFRs, luminosities, and velocity dispersions that are similar to the samples of faint compact blue galaxies studied previously in the same redshift range by Koo et. al 1995, Guzman et. al 1996 & Phillips et. al 1997. However, our sample is ~2 mag fainter in surface brightness than the compact blue galaxies. We find that the star-formation histories for a majority of the galaxies are consistent with a recent starburst within the last 100 Myr.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 02:01:25 GMT" } ]
2009-11-13T00:00:00
[ [ "Mallery", "Ryan P.", "" ], [ "Rich", "R. Michael", "" ], [ "Salim", "Samir", "" ], [ "Small", "Todd", "" ], [ "Charlot", "Stephane", "" ], [ "Seibert", "Mark", "" ], [ "Wyder", "Ted", "" ], [ "Barlow", "Tom A.", "" ], [ "Forster", "Karl", "" ], [ "Friedman", "Peter G.", "" ], [ "Martin", "D. Christopher", "" ], [ "Morissey", "Patrick", "" ], [ "Neff", "Susan G.", "" ], [ "Schiminovivich", "David", "" ], [ "Bianchi", "Luciana", "" ], [ "Donas", "Jose", "" ], [ "Heckman", "Timothy M.", "" ], [ "Lee", "Young-Wook", "" ], [ "Madore", "Barry F.", "" ], [ "Milliard", "Bruno", "" ], [ "Szalay", "Alex S.", "" ], [ "Welsh", "Barry Y.", "" ], [ "Yi", "Suk Young", "" ] ]
0706.3425
Peter Wong
Daciberg Gon\c{c}alves and Peter Wong
Twisted conjugacy classes in nilpotent groups
22 pages; section 6 has been moved to section 2 and minor modification has been made on exposition; to be published in Crelle J
J. Reine Angew. Math. 633 (2009), 11--27
null
null
math.GR math.AT
null
A group is said to have the $R_\infty$ property if every automorphism has an infinite number of twisted conjugacy classes. We study the question whether $G$ has the $R_\infty$ property when $G$ is a finitely generated torsion-free nilpotent group. As a consequence, we show that for every positive integer $n\ge 5$, there is a compact nilmanifold of dimension $n$ on which every homeomorphism is isotopic to a fixed point free homeomorphism. As a by-product, we give a purely group theoretic proof that the free group on two generators has the $R_\infty$ property. The $R_{\infty}$ property for virtually abelian and for $\mathcal C$-nilpotent groups are also discussed.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 01:56:53 GMT" }, { "version": "v2", "created": "Mon, 24 Mar 2008 16:18:43 GMT" } ]
2011-05-11T00:00:00
[ [ "Gonçalves", "Daciberg", "" ], [ "Wong", "Peter", "" ] ]
0706.3426
Bo Wang
Bo Wang, Xiangcun Meng, Xiaofeng Wang, Zhanwen Han
Distribution of $^{56}$Ni Yields of Type Ia Supernovae and its Implication for Progenitors
11 pages, 7 figures
Chin.J.Astron.Astrophys.8:71-80,2008
10.1088/1009-9271/8/1/07
null
astro-ph
null
The amount of $^{56}$Ni produced in type Ia supernova (SN Ia) explosion is probably the most important physical parameter underlying the observed correlation of SN Ia luminosities with their light curves. Based on an empirical relation between the $^{56}$Ni mass and the light curve parameter $\triangle m_{15}$, we obtained rough estimates of the $^{56}$Ni mass for a large sample of nearby SNe Ia with the aim of exploring the diversity in SN Ia. We found that the derived $^{56}$Ni masses for different SNe Ia could vary by a factor of ten (e.g., $M_{\rm Ni}=0.1 - 1.3$ $M_{\odot}$), which cannot be explained in terms of the standard Chandrasekhar-mass model (with a $^{56}$Ni mass production of 0.4 -- 0.8 $M_{\odot}$). Different explosion and/or progenitor models are clearly required for various SNe Ia, in particular, for those extremely nickel-poor and nickel-rich producers. The nickel-rich (with $M_{\rm Ni}$ $>$ 0.8 $M_{\odot}$) SNe Ia are very luminous and may have massive progenitors exceeding the Chandrasekhar-mass limit since extra progenitor fuel is required to produce more $^{56}$Ni to power the light curve. This is also consistent with the finding that the intrinsically bright SNe Ia prefer to occur in stellar environments of young and massive stars. For example, 75% SNe Ia in spirals have $\Delta m_{15} < 1.2$ while this ratio is only 18% in E/S0 galaxies. On the other hand, the nickel-poor SNe Ia (with $M_{\rm Ni}$ $<$ 0.2 $M_{\odot}$) may invoke the sub-Chandrasekhar model, as most of them were found in early-type E/S0 galaxies dominated by the older and low-mass stellar populations. This indicates that SNe Ia in spiral and E/S0 galaxies have progenitors of different properties.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 03:28:06 GMT" }, { "version": "v2", "created": "Wed, 27 Feb 2008 12:05:03 GMT" } ]
2009-11-13T00:00:00
[ [ "Wang", "Bo", "" ], [ "Meng", "Xiangcun", "" ], [ "Wang", "Xiaofeng", "" ], [ "Han", "Zhanwen", "" ] ]
0706.3427
Dmitri Starodub
D. Starodub (1), P. Rez (1), G. Hembree (1), M. Howells (2), D. Shapiro (2), H. N. Chapman (3), P. Fromme (1), K. Schmidt (1), U. Weierstall (1), R. B. Doak (1) and J. C. H. Spence (1) ((1) Arizona State University, (2) Lawrence Berkeley National Laboratory, (3) Lawrence Livermore National Laboratory)
Dose, exposure time, and resolution in Serial X-ray Crystallography
19 pages, 7 figures, 1 table
null
null
null
physics.optics physics.bio-ph
null
The resolution of X-ray diffraction microscopy is limited by the maximum dose that can be delivered prior to sample damage. In the proposed Serial Crystallography method, the damage problem is addressed by distributing the total dose over many identical hydrated macromolecules running continuously in a single-file train across a continuous X-ray beam, and resolution is then limited only by the available molecular and X-ray fluxes and molecular alignment. Orientation of the diffracting molecules is achieved by laser alignment. We evaluate the incident X-ray fluence (energy/area) required to obtain a given resolution from (1) an analytical model, giving the count rate at the maximum scattering angle for a model protein, (2) explicit simulation of diffraction patterns for a GroEL-GroES protein complex, and (3) the frequency cut off of the transfer function following iterative solution of the phase problem, and reconstruction of an electron density map in the projection approximation. These calculations include counting shot noise and multiple starts of the phasing algorithm. The results indicate counting time and the number of proteins needed within the beam at any instant for a given resolution and X-ray flux. We confirm an inverse fourth power dependence of exposure time on resolution, with important implications for all coherent X-ray imaging. We find that multiple single-file protein beams will be needed for sub-nanometer resolution on current third generation synchrotrons, but not on fourth generation designs, where reconstruction of secondary protein structure at a resolution of 0.7 nm should be possible with short exposures.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 03:40:13 GMT" } ]
2007-06-26T00:00:00
[ [ "Starodub", "D.", "" ], [ "Rez", "P.", "" ], [ "Hembree", "G.", "" ], [ "Howells", "M.", "" ], [ "Shapiro", "D.", "" ], [ "Chapman", "H. N.", "" ], [ "Fromme", "P.", "" ], [ "Schmidt", "K.", "" ], [ "Weierstall", "U.", "" ], [ "Doak", "R. B.", "" ], [ "Spence", "J. C. H.", "" ] ]
0706.3428
Sourendu Gupta
R. S. Bhalerao and Sourendu Gupta
Aspects of causal viscous hydrodynamics
27 pages, 17 figures, references added, minor changes, version to appear in Phys. Rev. (C)
Phys.Rev.C77:014902,2008
10.1103/PhysRevC.77.014902
TIFR/TH/07-11
nucl-th hep-ph nucl-ex
null
We investigate the phenomenology of freely expanding fluids, with different material properties, evolving through the Israel-Stewart (IS) causal viscous hydrodynamics, and compare our results with those obtained in the relativistic Eckart-Landau-Navier-Stokes (ELNS) acausal viscous hydrodynamics. Through the analysis of scaling invariants we give a definition of thermalization time which can be self-consistently determined in viscous hydrodynamics. Next we construct the solutions for one-dimensional boost-invariant flows. Expansion of viscous fluids is slower than that of one-dimensional ideal fluids, resulting in entropy production. At late times, these flows are reasonably well approximated by solutions obtained in ELNS hydrodynamics. Estimates of initial energy densities from observed final values are strongly dependent on the dynamics one chooses. For the same material, and the same final state, IS hydrodynamics gives the smallest initial energy density. We also study fluctuations about these one-dimensional boost-invariant backgrounds; they are damped in ELNS hydrodynamics but can become sound waves in IS hydrodynamics. The difference is obvious in power spectra due to clear signals of wave-interference in IS hydrodynamics, which is completely absent in ELNS dynamics.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 05:25:57 GMT" }, { "version": "v2", "created": "Sun, 1 Jul 2007 06:36:18 GMT" }, { "version": "v3", "created": "Wed, 12 Dec 2007 14:18:18 GMT" } ]
2008-11-26T00:00:00
[ [ "Bhalerao", "R. S.", "" ], [ "Gupta", "Sourendu", "" ] ]
0706.3429
Roland M. Crocker
Roland M. Crocker, David Jones, David R. Ballantyne, and Fulvio Melia
Radio Synchrotron Emission from Secondary Leptons in the Vicinity of Sgr A*
11 pages, 2 figures. Two references missing from published version added and acknowledgements extended
ApJ Letters 664, 95 (2007)
10.1086/520931
null
astro-ph
null
A point-like source of ~TeV gamma-rays has recently been seen towards the Galactic center by HESS and other air Cerenkov telescopes. In recent work (Ballantyne et al. 2007), we demonstrated that these gamma-rays can be attributed to high-energy protons that (i) are accelerated close to the event horizon of the central black hole, Sgr A*, (ii) diffuse out to ~pc scales, and (iii) finally interact to produce gamma-rays. The same hadronic collision processes will necessarily lead to the creation of electrons and positrons. Here we calculate the synchrotron emissivity of these secondary leptons in the same magnetic field configuration through which the initiating protons have been propagated in our model. We compare this emission with the observed ~GHz radio spectrum of the inner few pc region which we have assembled from archival data and new measurements we have made with the Australia Telescope Compact Array. We find that our model predicts secondary synchrotron emission with a steep slope consistent with the observations but with an overall normalization that is too large by a factor of ~ 2. If we further constrain our theoretical gamma-ray curve to obey the implicit EGRET upper limit on emission from this region we predict radio emission that is consistent with observations, i.e., the hadronic model of gamma ray emission can, simultaneously and without fine-tuning, also explain essentially all the diffuse radio emission detected from the inner few pc of the Galaxy.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 05:57:29 GMT" }, { "version": "v2", "created": "Tue, 7 Aug 2007 06:25:47 GMT" } ]
2009-11-13T00:00:00
[ [ "Crocker", "Roland M.", "" ], [ "Jones", "David", "" ], [ "Ballantyne", "David R.", "" ], [ "Melia", "Fulvio", "" ] ]
0706.3430
Caleb Lo
Caleb K. Lo, Robert W. Heath Jr. and Sriram Vishwanath
The Impact of Channel Feedback on Opportunistic Relay Selection for Hybrid-ARQ in Wireless Networks
30 pages, 9 figures, submitted to the IEEE Transactions on Vehicular Technology, revised March 2008
null
10.1109/TVT.2008.928896
null
cs.IT math.IT
null
This paper presents a decentralized relay selection protocol for a dense wireless network and describes channel feedback strategies that improve its performance. The proposed selection protocol supports hybrid automatic-repeat-request transmission where relays forward parity information to the destination in the event of a decoding error. Channel feedback is employed for refining the relay selection process and for selecting an appropriate transmission mode in a proposed adaptive modulation transmission framework. An approximation of the throughput of the proposed adaptive modulation strategy is presented, and the dependence of the throughput on system parameters such as the relay contention probability and the adaptive modulation switching point is illustrated via maximization of this approximation. Simulations show that the throughput of the proposed selection strategy is comparable to that yielded by a centralized selection approach that relies on geographic information.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 06:19:41 GMT" }, { "version": "v2", "created": "Tue, 15 Jan 2008 21:15:03 GMT" }, { "version": "v3", "created": "Tue, 1 Apr 2008 00:02:32 GMT" } ]
2016-11-15T00:00:00
[ [ "Lo", "Caleb K.", "" ], [ "Heath", "Robert W.", "Jr." ], [ "Vishwanath", "Sriram", "" ] ]
0706.3431
Amin Rezaeezadeh
Amin Rezaeezadeh
Motion of Hexagonal Pencil on an Inclined Plane
2 pages
null
null
null
physics.class-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This paper has been withdrawn by the author(s), due a crucial sign error in Eqn. 1.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 07:08:00 GMT" }, { "version": "v2", "created": "Wed, 28 May 2008 15:34:25 GMT" }, { "version": "v3", "created": "Mon, 23 Feb 2009 20:29:16 GMT" } ]
2009-02-23T00:00:00
[ [ "Rezaeezadeh", "Amin", "" ] ]
0706.3432
Chiyori Urabe
Chiyori Urabe
Fluctuation of the Top Location and Avalanches in the Formation Process of a Sandpile
15 pages, 13 figures
null
10.1143/JPSJ.76.094401
null
cond-mat.soft
null
We investigate the formation processes of a sandpile using numerical simulation. We find a new relation between the fluctuation of the motion of the top and the surface state of a sandpile. The top moves frequently as particles are fed one by one every time interval T. The time series of the top location has the power spectrum which obeys a power law, S(f)~f^{\alpha}, and its exponent \alpha depends on T and the system size w. The surface state is characterized by two time scales; the lifetime of an avalanche, T_{a}, and the time required to cause an avalanche, T_{s}. The surface state is fluid-like when T_{a}~T_{s}, and it is solid-like when T_{a}<<T_{s}. Our numerical results show that \alpha is a function of T_{s}/T_{a}.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 07:18:15 GMT" } ]
2009-11-13T00:00:00
[ [ "Urabe", "Chiyori", "" ] ]
0706.3433
Mesfin Asfaw
Mesfin Asfaw
Unbinding transitions of multicomponent membranes and strings
11 figures, 10 pages
null
null
null
cond-mat.soft
null
We present a theory of unbinding transitions for membranes that interact via short and long receptor/ligand bonds. The detail of unbinding behavior of the membranes is governed by the binding energies and concentrations of receptors and ligands. We investigate the unbinding behavior of these membranes with Monte Carlo simulations and via a comparison with strings. We derive the scaling laws for strings analytically. The exact analytic results provide scaling estimate for membranes in the vicinity of the critical point.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 07:52:44 GMT" }, { "version": "v2", "created": "Wed, 2 Apr 2008 02:50:32 GMT" } ]
2008-04-02T00:00:00
[ [ "Asfaw", "Mesfin", "" ] ]
0706.3434
Shuheng Zhou
Avrim Blum, Amin Coja-Oghlan, Alan Frieze, Shuheng Zhou
Separating populations with wide data: A spectral analysis
Published in at http://dx.doi.org/10.1214/08-EJS289 the Electronic Journal of Statistics (http://www.i-journals.org/ejs/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Electronic Journal of Statistics 2009, Vol. 3, 76-113
10.1214/08-EJS289
IMS-EJS-EJS_2008_289
stat.ML stat.AP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper, we consider the problem of partitioning a small data sample drawn from a mixture of $k$ product distributions. We are interested in the case that individual features are of low average quality $\gamma$, and we want to use as few of them as possible to correctly partition the sample. We analyze a spectral technique that is able to approximately optimize the total data size--the product of number of data points $n$ and the number of features $K$--needed to correctly perform this partitioning as a function of $1/\gamma$ for $K>n$. Our goal is motivated by an application in clustering individuals according to their population of origin using markers, when the divergence between any two of the populations is small.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 08:03:25 GMT" }, { "version": "v2", "created": "Thu, 29 Jan 2009 11:31:54 GMT" } ]
2017-11-17T00:00:00
[ [ "Blum", "Avrim", "" ], [ "Coja-Oghlan", "Amin", "" ], [ "Frieze", "Alan", "" ], [ "Zhou", "Shuheng", "" ] ]
0706.3435
Zoltan Szabo
Zoltan Szabo, Barnabas Poczos, Andras Lorincz
Undercomplete Blind Subspace Deconvolution via Linear Prediction
12 pages
European Conference on Machine Learning (ECML), pages 740-747, 2007
null
null
stat.ME
null
We present a novel solution technique for the blind subspace deconvolution (BSSD) problem, where temporal convolution of multidimensional hidden independent components is observed and the task is to uncover the hidden components using the observation only. We carry out this task for the undercomplete case (uBSSD): we reduce the original uBSSD task via linear prediction to independent subspace analysis (ISA), which we can solve. As it has been shown recently, applying temporal concatenation can also reduce uBSSD to ISA, but the associated ISA problem can easily become `high dimensional' [1]. The new reduction method circumvents this dimensionality problem. We perform detailed studies on the efficiency of the proposed technique by means of numerical simulations. We have found several advantages: our method can achieve high quality estimations for smaller number of samples and it can cope with deeper temporal convolutions.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 10:15:39 GMT" } ]
2012-01-04T00:00:00
[ [ "Szabo", "Zoltan", "" ], [ "Poczos", "Barnabas", "" ], [ "Lorincz", "Andras", "" ] ]
0706.3436
Cecilia Tarantino
Cecilia Tarantino
Rare Kaon Decays Beyond the Standard Model
10 pages, 2 figures, minor improvements, few references added. Final version for the proceedings of the International Conference "Kaon'07", Laboratori Nazionali di Frascati, Italy, 21-25 May 2007
PoSKAON:057,2008
null
null
hep-ph
null
The rare kaon decays K_L -> pi^0 nu {bar nu}, K^+ -> pi^+ nu {bar nu}, K_L -> pi^0 e^+ e^- and K_L -> pi^0 mu^+ mu^- are theoretically very clean and, being strongly CKM suppressed, highly sensitive to New Physics (NP). Recent Flavour Physics analyses show that they represent unique probes for revealing NP effects and to provide information on the NP flavour structure. After a brief discussion of the main properties that make rare K decays so promising and of the basic ideas of the most interesting NP models, we review the results of recent phenomenological analyses both within and beyond the framework of Minimal Flavour Violation (MFV), where the sources of flavour violation are the same as in the Standard Model. Within MFV we present the expectations found for rare K decays from a model-independent analysis and in three MFV models: the Littlest Higgs (LH) model, the (extra-dimension) Appelquist-Cheng-Dobrescu model and the Minimal Supersymmetric Standard Model (MSSM) with MFV. Beyond MFV, we discuss the results recently found within the MSSM (without MFV), the LH model with T-parity (LHT) and the 3-3-1 (Z') model. While in MFV models only small (<30%) NP effects are allowed in the branching ratios of K_L -> pi^0 nu {bar nu}, K^+ -> pi^+ nu {bar nu}, K_L -> pi^0 e^+ e^- and K_L -> pi^0 mu^+ mu^-, beyond MFV, in particular in the MSSM and in the LHT model, large (up to an order of magnitude) enhancements w.r.t. the SM turn out to be possible.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 15:25:13 GMT" }, { "version": "v2", "created": "Fri, 29 Jun 2007 09:32:45 GMT" }, { "version": "v3", "created": "Mon, 10 Sep 2007 16:00:16 GMT" } ]
2008-11-26T00:00:00
[ [ "Tarantino", "Cecilia", "" ] ]
0706.3437
Andrei V. Lebedev
A. V. Lebedev and G. Blatter
Bell's inequality test with time-delayed two-particle correlations
8 pages, 4 figures
Phys. Rev. B 77, 035301 (2008)
10.1103/PhysRevB.77.035301
null
cond-mat.mes-hall cond-mat.str-el quant-ph
null
Adopting the frame of mesoscopic physics, we describe a Bell type experiment involving time-delayed two-particle correlation measurements. The indistinguishability of quantum particles results in a specific interference between different trajectories. We show how the non-locality in the time-delayed correlations due to the indistinguishability of the quantum particles manifests itself in the violation of a Bell inequality, where the degree of violation is related to the accuracy of the measurement. We demonstrate how the interrelation between the orbital- and the spin exchange symmetry can by exploited to infer knowledge on spin-entanglement from a measurement of orbital entanglement.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 09:18:26 GMT" }, { "version": "v2", "created": "Thu, 10 Jan 2008 16:04:39 GMT" } ]
2009-11-13T00:00:00
[ [ "Lebedev", "A. V.", "" ], [ "Blatter", "G.", "" ] ]
0706.3438
Antoni Szczurek
A. Szczurek, A. Rybarska, G. Slipek
Dijet correlations in $pp$ collisions at RHIC
11 pages, 23 figures, a talk presented at International Workshop on High-pT physics at LHC, Jyvaskyla, Finland, March 23-27 2007
null
null
null
hep-ph
null
We compare results of $k_t$-factorization approach and next-to-leading order collinear-factorization approach for dijet correlations in proton-proton collisions at RHIC energies. We discuss correlations in azimuthal angle as well as correlations in two-dimensional space of transverse momenta of two jets. Some $k_t$-factorization subprocesses are included for the first time in the literature. Different unintegrated gluon/parton distributions are used in the $k_t$-factorization approach. The results depend on UGDF/UPDF used. Limitations due to leading jet condition are discussed.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 09:44:36 GMT" } ]
2009-04-16T00:00:00
[ [ "Szczurek", "A.", "" ], [ "Rybarska", "A.", "" ], [ "Slipek", "G.", "" ] ]
0706.3439
Antoni Szczurek
M. Luszczak, A. Szczurek
Heavy quark correlations in hadronic collisions
8 pages, 20 figures, a talk presented at International Workshop on High-pT physics at LHC, Jyvaskyla, Finland, March 23-27 2007
PoS LHC07:024,2007
null
null
hep-ph
null
We discuss results of the $k_t$ - factorization approach for heavy quark-heavy antiquark correlations in proton-proton and proton-antiproton collisions for RHIC, Tevatron and LHC. We consider correlations in the azimuthal angle as well as in the two-dimensional space of transverse momentum of heavy quark and heavy antiquark. We compare results obtained with the help of different unintegrated parton distributions (UPDF) from the literature.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 09:40:22 GMT" } ]
2011-07-19T00:00:00
[ [ "Luszczak", "M.", "" ], [ "Szczurek", "A.", "" ] ]
0706.3440
Liffman Kurt
Kurt Liffman
The Stellar-Disk Electric (Short) Circuit: Observational Predictions for a YSO Jet Flow
6 pages, 8 figures, Accepted for publication in Astrophysics & Space Science
Astrophys.SpaceSci.311:69-74,2007
10.1007/s10509-007-9562-0
null
astro-ph
null
We discuss the star-disk electric circuit for a young stellar object (YSO) and calculate the expected torques on the star and the disk. We obtain the same disk magnetic field and star-disk torques as given by standard magnetohydrodynamic (MHD) analysis. We show how a short circuit in the star-disk electric circuit may produce a magnetically-driven jet flow from the inner edge of a disk surrounding a young star. An unsteady bipolar jet flow is produced that flows perpendicular to the disk plane. Jet speeds of order hundreds of kilometres per second are possible, while the outflow mass loss rate is proportional to the mass accretion rate and is a function of the disk inner radius relative to the disk co-rotation radius.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 09:30:28 GMT" } ]
2008-11-26T00:00:00
[ [ "Liffman", "Kurt", "" ] ]
0706.3441
Michael Temkin
Brian Conrad, Michael Temkin
Non-archimedean analytification of algebraic spaces
34 pages
null
null
null
math.AG
null
It is now a classical result that an algebraic space locally of finite type over $\mathbf{C}$ is analytifiable if and only if it is locally separated. In this paper we study non-archimedean analytifications of algebraic spaces. We construct a quotient for any etale non-archimedean analytic equivalence relation whose diagonal is a closed immersion, and deduce that any separated algebraic space locally of finite type over any non-archimedean field $k$ is analytifiable in both the category of rigid spaces and the category of analytic spaces over $k$. Also, though local separatedness remains a necessary condition for analytifiability in either of these categories, we present many surprising examples of non-analytifiable locally separated smooth algebraic spaces over $k$ that can even be defined over the prime field.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 16:08:35 GMT" } ]
2007-06-26T00:00:00
[ [ "Conrad", "Brian", "" ], [ "Temkin", "Michael", "" ] ]
0706.3442
Antoni Szczurek
T. Pietrycki, A. Szczurek
Photon-jet correlations in hadronic collisions
7 pages, 12 figures, a talk presented at International Workshop on High-pT physics at LHC, Jyvaskyla, Finland, March 23-27 2007
PoSLHC07:029,2007
null
null
hep-ph
null
We compare results of $k_t$-factorization approach and next-to-leading order collinear-factorization approach for photon-jet correlations in $pp$ and $p \bar p$ collisions at RHIC, Tevatron and LHC energies. We discuss correlations in azimuthal angle as well as in two-dimensional space of transverse momenta of photon and jet. Different unintegrated parton distributions (UPDF) are included in the $k_t$-factorization approach. The results depend on UPDFs used. The results of NLO collinear-factorization are shown for comparison.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 09:35:27 GMT" } ]
2009-04-16T00:00:00
[ [ "Pietrycki", "T.", "" ], [ "Szczurek", "A.", "" ] ]
0706.3443
John Aston
Jyh-Ying Peng, John A. D. Aston
The SSM Toolbox for Matlab
Software available from authors
null
null
C-2007-02
stat.CO stat.AP
null
State Space Models (SSM) is a MATLAB 7.0 software toolbox for doing time series analysis by state space methods. The software features fully interactive construction and combination of models, with support for univariate and multivariate models, complex time-varying (dynamic) models, non-Gaussian models, and various standard models such as ARIMA and structural time-series models. The software includes standard functions for Kalman filtering and smoothing, simulation smoothing, likelihood evaluation, parameter estimation, signal extraction and forecasting, with incorporation of exact initialization for filters and smoothers, and support for missing observations and multiple time series input with common analysis structure. The software also includes implementations of TRAMO model selection and Hillmer-Tiao decomposition for ARIMA models. The software will provide a general toolbox for doing time series analysis on the MATLAB platform, allowing users to take advantage of its readily available graph plotting and general matrix computation capabilities.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 09:45:48 GMT" } ]
2007-06-26T00:00:00
[ [ "Peng", "Jyh-Ying", "" ], [ "Aston", "John A. D.", "" ] ]
0706.3444
Ulrich Haisch
Ulrich Haisch
How To Kill a Penguin
5 pages, 4 figures, 1 table, uses pdflatex, talk given at DIS 2007, Muenchen, Germany, April 15--20, 2007
null
null
ZU-TH 10/07
hep-ph
null
Within constrained minimal-flavor-violation the large destructive flavor-changing Z-penguin managed to survive eradication so far. We give a incisive description of how to kill it using the precision measurements of the Z -> b anti-b pseudo observables. The derived stringent range for the non-standard contribution to the universal Inami-Lim function C leads to tight two-sided limits for the branching ratios of all Z-penguin dominated flavor-changing K- and B-decays.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 10:07:15 GMT" } ]
2007-06-26T00:00:00
[ [ "Haisch", "Ulrich", "" ] ]
0706.3445
Emilio Santos Corchero
Emilio Santos
Analysis of a recent experimental test of Bell inequalities violating quantum predictions
10 pages, no figures
Eur. Phyis. J. D 46. 531 (2008)
10.1140/epjd/e2007-00322-3
null
quant-ph
null
A recent experiment by Brida et al. (arXiv:0705.0439 [quant-ph]) is analyzed with the conclusion that is shows a violation of standard quantum predictions. A simple local hidden variables model is studied which is compatible with the empirical results and fits fairly well the deviation from the quantum predictions.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 10:09:28 GMT" } ]
2021-06-23T00:00:00
[ [ "Santos", "Emilio", "" ] ]
0706.3446
Rostyslav Vlokh O
R. Vlokh, M. Kostyrko
Estimation of the Birefringence Change in Crystals Induced by Gravitation Field
3 pages
Ukr.J.Phys.Opt. 2005 6: 125-127
10.3116/16091833/6/4/125/2005
null
physics.optics physics.space-ph
null
The effect of gravitation field of spherically symmetric mass on the birefringent properties of crystals has been analysed. It has been shown that the gravitation field with spherical symmetry can lead to a change of birefringence in anisotropic media.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 10:14:30 GMT" } ]
2007-06-26T00:00:00
[ [ "Vlokh", "R.", "" ], [ "Kostyrko", "M.", "" ] ]
0706.3447
Amit Hogadi
Amit Hogadi
Products of Brauer Severi surfaces
7 pages
null
null
null
math.AG
null
Let $\{P_i\}_{1 \leq i \leq r}$ and $\{Q_i\}_{1 \leq i \leq r}$ be two collections of Brauer Severi surfaces (resp. conics) over a field $k$. We show that the subgroup generated by the $P_i's$ in $Br(k)$ is the same as the subgroup generated by the $Q_i's$ \iff $\Pi P_i $ is birational to $\Pi Q_i$. Moreover in this case $\Pi P_i$ and $\Pi Q_i$ represent the same class in $M(k)$, the Grothendieck ring of $k$-varieties. The converse holds if $char(k)=0$. Some of the above implications also hold over a general noetherian base scheme.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 10:19:43 GMT" } ]
2007-06-26T00:00:00
[ [ "Hogadi", "Amit", "" ] ]
0706.3448
Zhen Yan
N. Wang, Z. Yan, R. N. Manchester, and H. X. Wang
Daily Observations of Interstellar Scintillation in PSR B0329+54
10 pages, 5 figures, Accepted by MNRAS
null
10.1111/j.1365-2966.2008.12864.x
null
astro-ph
null
Quasi-continuous observations of PSR B03239+54 over 20 days using the Nanshan 25-m telescope at 1540 MHz have been used to study the effects of refractive scintillation on the pulsar flux density and diffractive scintillation properties. Dynamic spectra were obtained from datasets of 90 min duration and diffractive parameters derived from a two-dimensional auto-correlation analysis. Secondary spectra were also computed but these showed no significant evidence for arc structure. Cross correlations between variations in the derived parameters were much lower than predicted by thin screen models and in one case was of opposite sign to the prediction. Observed modulation indices were larger than predicted by thin screen models with a Kolmogorov fluctuation spectrum. Structure functions were computed for the flux density, diffractive timescale and decorrelation bandwidth. These indicated a refractive timescale of $8\pm 2$ h, much shorter than predicted by the thin screen model. The measured structure-function slope of $0.4\pm 0.2$ is also inconsistent with scattering by a single thin screen for which a slope of 2.0 is expected. All observations are consistent with scattering by an extended medium having a Kolmogorov fluctuation spectrum which is concentrated towards the pulsar. This interpretation is also consistent with recent observations of multiple diffuse scintillation arcs for this pulsar.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 11:20:40 GMT" }, { "version": "v2", "created": "Tue, 18 Dec 2007 13:05:09 GMT" }, { "version": "v3", "created": "Tue, 19 Feb 2008 14:10:11 GMT" } ]
2009-11-13T00:00:00
[ [ "Wang", "N.", "" ], [ "Yan", "Z.", "" ], [ "Manchester", "R. N.", "" ], [ "Wang", "H. X.", "" ] ]
0706.3449
Cojocaru
S. Cojocaru, R. Citro and M. Marinaro
Incoherent mid-infrared charge excitation and the high energy anomaly in the photoemission spectra of cuprates
12 pages, 3 figures
null
10.1103/PhysRevB.75.220502
null
cond-mat.mtrl-sci
null
On the basis of a semi-phenomenological model, it is argued that the high energy anomaly observed in recent photoemission experiments on cuprates is caused by interaction with an overdamped bosonic mode in the mid-infrared region of the spectrum. Analysis of optical conductivity allows to connect this excitation to the incoherent charge response reported for the majority of high Tc materials and some other perovskites. We show that its large damping is an essential feature responsible for the "waterfall" dispersion and linewidth of the spectral weight.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 10:54:51 GMT" } ]
2009-11-13T00:00:00
[ [ "Cojocaru", "S.", "" ], [ "Citro", "R.", "" ], [ "Marinaro", "M.", "" ] ]
0706.3450
Behrouz Mirza
Behrouz Mirza, Mohammad Zamani-Nasab
Ruppeiner Geometry of RN Black Holes: Flat or Curved?
9 pages
JHEP 0706:059,2007
10.1088/1126-6708/2007/06/059
null
hep-th
null
In some recent studies \cite{aman1, aman2, aman3}, Aman {\it et al.} used the Ruppeiner scalar as a measure of underlying interactions of Reissner-Nordstr\"{o}m black holes, indicating that it is a non-interacting statistical system for which classical thermodynamics could be used at any scale. Here, we show that if we use the complete set of thermodynamic variables, a non-flat state space will be produced. Furthermore, the Ruppeiner curvature diverges at extremal limits, as it would for other types of black holes.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 10:59:17 GMT" } ]
2010-10-27T00:00:00
[ [ "Mirza", "Behrouz", "" ], [ "Zamani-Nasab", "Mohammad", "" ] ]
0706.3451
Petter Andreas Bergh
Petter Andreas Bergh
Complexity test modules
11 pages
null
null
null
math.AC
null
A method is provided for computing an upper bound of the complexity of a module over a local ring, in terms of vanishing of certain cohomology modules. We then specialize to complete intersections, which are precisely the rings over which all modules have finite complexity.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 11:47:58 GMT" } ]
2007-06-26T00:00:00
[ [ "Bergh", "Petter Andreas", "" ] ]
0706.3452
Luis Nunez A
H. Abreu, H. Hernandez and L.A. Nunez
Sound Speeds, Cracking and Stability of Self-Gravitating Anisotropic Compact Objects
17 pages, 8 figures, 4 new references added. typos corrected
Class.Quant.Grav.24:4631-4646,2007
10.1088/0264-9381/24/18/005
null
gr-qc
null
Using the the concept of cracking we explore the influence of density fluctuations and local anisotropy have on the stability of local and non-local anisotropic matter configurations in general relativity. This concept, conceived to describe the behaviour of a fluid distribution just after its departure from equilibrium, provides an alternative approach to consider the stability of selfgravitating compact objects. We show that potentially unstable regions within a configuration can be identify as a function of the difference of propagations of sound along tangential and radial directions. In fact, it is found that these regions could occur when, at particular point within the distribution, the tangential speed of sound is greater than radial one.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 12:15:22 GMT" }, { "version": "v2", "created": "Sun, 22 Jul 2007 16:57:39 GMT" } ]
2008-11-26T00:00:00
[ [ "Abreu", "H.", "" ], [ "Hernandez", "H.", "" ], [ "Nunez", "L. A.", "" ] ]
0706.3453
Victor Abramovsky
N.V. Radchenko
About agreement of PYTHIA and the experimental results in $e^+e^-$ annihilation to hadrons
17 pages, 9 figures
null
null
null
hep-ph
null
The experimental charged particles multiplicity distributions in $e^+e^-$ annihilation to hadrons are compared with the distributions obtained by PYTHIA. The ratio $\chi^2$/degrees of freedom is calculated for 6 energies at $\sqrt{s}$ 14 -- 206.2 GeV. The necessity of more subtle tuning of PYTHIA at the energy of $Z^0$ peak is discussed.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 12:40:52 GMT" } ]
2007-06-26T00:00:00
[ [ "Radchenko", "N. V.", "" ] ]
0706.3454
Igor Tralle
A.A.Suzko, I.Tralle
Reconstruction of Quantum Well Potentials via the Intertwining Operator Technique
null
null
null
null
cond-mat.mes-hall
null
One of the most important issues of quantum engineering is the construction of low-dimensional structures possessing desirable properties. For example, in different areas of possible applications of the structures containing quantum wells (QW), there is need to have QW energy spectrum, which is predetermined. Then the following question arises: can one reconstruct the shape of QW which supports this spectrum? We outline the possible strategy of the QW potential shape reconstruction, if the spectrum of QW is given in advance. The proposed approach is based on the combination of different techniques such as Inverse Scattering Problem Method, Darboux and Liouville transformation. It enables to take into account the space-variable dependent effective mass of charge carriers and allows the kinetic energy operator to be of non-Hermitian as well as Hermitian form. The proposed technique allows to construct phase-equivalent potentials, to add the new bounded states to (or remove some of them from) the spectrum supported by an initial potential and provides a systematic procedure for generating new exactly solvable models.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 12:49:22 GMT" } ]
2007-06-26T00:00:00
[ [ "Suzko", "A. A.", "" ], [ "Tralle", "I.", "" ] ]
0706.3455
Vasily E. Tarasov
Vasily E. Tarasov
Thermodynamics of Few-Particle Systems
19 pages, LaTeX
International Journal of Modern Physics B 19 (2005) 879-897
10.1142/S0217979205027780
null
math-ph math.MP
null
We consider the wide class of few-particle systems that have some analog of the thermodynamic laws. These systems are characterized by the distributions that are determined by the Hamiltonian and satisfy the Liouville equation. Few-particle systems of this class are described by a non-holonomic constraint: the power of non-potential forces is directly proportional to the velocity of the elementary phase volume change. The coefficient of this proportionality is determined by the Hamiltonian. In the general case, the examples of the few-particle systems of this class are the constant temperature systems, canonical-dissipative systems, and Fermi-Bose classical systems.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 12:57:32 GMT" } ]
2009-11-13T00:00:00
[ [ "Tarasov", "Vasily E.", "" ] ]
0706.3456
Stefan Kettemann
A. Zhuravlev, I. Zharekeshev, E. Gorelov, A. I. Lichtenstein, E. R. Mucciolo, S. Kettemann
Nonperturbative Scaling Theory of Free Magnetic Moment Phases in Disordered Metals
4 pages, 6 figures
Phys. Rev. Lett. 99, 247202 (2007)
10.1103/PhysRevLett.99.247202
null
cond-mat.str-el cond-mat.mes-hall
null
The crossover between a free magnetic moment phase and a Kondo phase in low dimensional disordered metals with dilute magnetic impurities is studied. We perform a finite size scaling analysis of the distribution of the Kondo temperature as obtained from a numerical renormalization group calculation of the local magnetic susceptibility and from the solution of the self-consistent Nagaoka-Suhl equation. We find a sizable fraction of free (unscreened) magnetic moments when the exchange coupling falls below a disorder-dependent critical value $J_{\rm c}$. Our numerical results show that between the free moment phase due to Anderson localization and the Kondo screened phase there is a phase where free moments occur due to the appearance of random local pseudogaps at the Fermi energy whose width and power scale with the elastic scattering rate $1/\tau$.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 13:01:48 GMT" } ]
2009-11-13T00:00:00
[ [ "Zhuravlev", "A.", "" ], [ "Zharekeshev", "I.", "" ], [ "Gorelov", "E.", "" ], [ "Lichtenstein", "A. I.", "" ], [ "Mucciolo", "E. R.", "" ], [ "Kettemann", "S.", "" ] ]
0706.3457
Lan Zhou
Lan Zhou, Jing Lu, D. L. Zhou, C. P. Sun
Quantum theory for spatial motion of polaritons in inhomogeneous fields
13 pages, 5 figures
Phys. Rev. A 77, 023816 (2008)
10.1103/PhysRevA.77.023816
null
quant-ph
null
Polaritons are the collective excitations of many atoms dressed by resonant photons, which can be used to explain the slow light propagation with the mechanism of electromagnetically induced transparency. As quasi-particles, these collective excitations possess the typical feature of the matter particles, which can be reflected and deflected by the inhomogeneous medium in its spatial motion with some velocity. In this paper we develop a quantum theory to systematically describe the spatial motion of polaritons in inhomogeneous magnetic and optical fields. This theoretical approach treats these quasi-particles through an effective Schr\"{o}dinger equation with anisotropic depression that the longitudinal motion is like a ultra-relativistic motion of a "slow light velocity" while the transverse motion is of non-relativity with certain effective mass. We find that, after passing through the EIT medium, the light ray bends due to the spatial-dependent profile of external field. This phenomenon explicitly demonstrates the exotic corpuscular property of polaritons with anisotropic nature.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 13:59:01 GMT" }, { "version": "v2", "created": "Wed, 4 Jul 2007 06:19:08 GMT" }, { "version": "v3", "created": "Mon, 18 Feb 2008 02:28:34 GMT" } ]
2009-11-13T00:00:00
[ [ "Zhou", "Lan", "" ], [ "Lu", "Jing", "" ], [ "Zhou", "D. L.", "" ], [ "Sun", "C. P.", "" ] ]
0706.3458
Fred Hucht
Alfred Hucht
The Thermodynamic Casimir Effect in $^4$He Films near $T_\lambda$: Monte Carlo Results
5 pages, 4 figures, accepted for publication in Phys. Rev. Lett
Phys. Rev. Lett. 99, 185301 (2007)
10.1103/PhysRevLett.99.185301
null
cond-mat.stat-mech
null
The universal finite-size scaling function of the critical Casimir force for the three dimensional XY universality class with Dirichlet boundary conditions is determined using Monte Carlo simulations. The results are in excellent agreement with recent experiments on $^4$He Films at the superfluid transition and with available theoretical predictions.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 15:29:54 GMT" }, { "version": "v2", "created": "Thu, 5 Jul 2007 23:27:55 GMT" }, { "version": "v3", "created": "Tue, 18 Sep 2007 09:56:57 GMT" } ]
2011-11-10T00:00:00
[ [ "Hucht", "Alfred", "" ] ]
0706.3459
Gabor Kun
Gabor Kun, Jaroslav Nesetril
NP by means of lifts and shadows
12 pages, conference (MFCS07) version of 0706.1704
null
null
null
cs.CC math.CO
null
We show that every NP problem is polynomially equivalent to a simple combinatorial problem: the membership problem for a special class of digraphs. These classes are defined by means of shadows (projections) and by finitely many forbidden colored (lifted) subgraphs. Our characterization is motivated by the analysis of syntactical subclasses with the full computational power of NP, which were first studied by Feder and Vardi. Our approach applies to many combinatorial problems and it induces the characterization of coloring problems (CSP) defined by means of shadows. This turns out to be related to homomorphism dualities. We prove that a class of digraphs (relational structures) defined by finitely many forbidden colored subgraphs (i.e. lifted substructures) is a CSP class if and only if all the the forbidden structures are homomorphically equivalent to trees. We show a surprising richness of coloring problems when restricted to most frequent graph classes. Using results of Ne\v{s}et\v{r}il and Ossona de Mendez for bounded expansion classes (which include bounded degree and proper minor closed classes) we prove that the restriction of every class defined as the shadow of finitely many colored subgraphs equals to the restriction of a coloring (CSP) class.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 15:40:43 GMT" } ]
2007-06-27T00:00:00
[ [ "Kun", "Gabor", "" ], [ "Nesetril", "Jaroslav", "" ] ]
0706.3460
Raffaella Landi Dr
R. Landi, N. Masetti, L. Morelli, E. Palazzi, L. Bassani, A. Malizia, A. Bazzano, A.J. Bird, A.J. Dean, G. Galaz, D. Minniti, P. Ubertini
The AGN nature of 11 out of 12 Swift/RXTE unidentified sources through optical and X-ray spectroscopy
50 pages, including 16 figures and 7 tables. Accepted for publication in ApJ
null
10.1086/521208
null
astro-ph
null
The Swift Burst Alert Telescope (BAT) is performing a high Galactic latitude survey in the 14-195 keV band at a flux limit of ~10^{-11} erg cm^{-2} s^{-1}, leading to the discovery of new high energy sources, most of which have not so far been properly classified. A similar work has also been performed with the RXTE slew survey leading to the discovery of 68 sources detected above 8 keV, many of which are still unclassified. Follow-up observations with the Swift X-ray Telescope (XRT) provide, for many of these objects, source localization with a positional accuracy of few arcsec, thus allowing the search for optical counterparts to be more efficient and reliable. We present the results of optical/X-ray follow-up studies of 11 Swift BAT detections and one AGN detected in the RXTE Slew Survey, aimed at identifying their counterparts and at assessing their nature. These data allowed, for the first time, the optical classification of 8 objects and a distance determination for 3 of them. For another object, a more refined optical classification than that available in the literature is also provided. For the remaining sources, optical spectroscopy provides a characterization of the source near in time to the X-ray measurement. The sample consists of 6 Seyfert 2 galaxies, 5 Seyferts of intermediate type 1.2-1.8, and one object of Galactic nature - an Intermediate Polar (i.e., magnetic) Cataclysmic Variable. Out of the 11 AGNs, 8 (~70%) including 2 Seyferts of type 1.2 and 1.5, are absorbed with NH > 10^{22} cm^{-2}. Up to 3 objects could be Compton thick (i.e. NH > 1.5 x 10^{24} cm^{-2}), but only in one case (Swift J0609.1-8636) does all the observational evidence strongly suggests this possibility.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 16:27:14 GMT" } ]
2009-11-13T00:00:00
[ [ "Landi", "R.", "" ], [ "Masetti", "N.", "" ], [ "Morelli", "L.", "" ], [ "Palazzi", "E.", "" ], [ "Bassani", "L.", "" ], [ "Malizia", "A.", "" ], [ "Bazzano", "A.", "" ], [ "Bird", "A. J.", "" ], [ "Dean", "A. J.", "" ], [ "Galaz", "G.", "" ], [ "Minniti", "D.", "" ], [ "Ubertini", "P.", "" ] ]
0706.3461
Ol'khov
O.A. Olkhov
Geometrization of quantum formalism
11 pages, Proc.Int.WorkshopDICE2006 "Quantum Mechanics between Decoherence and Determinism", Piombino, Italy, September 11-15, 2006
Journal of Phys.: Conf.Ser, 2007, 67, 012037
null
null
quant-ph
null
The hypothesis is suggested that the equation for the Dirac free wave field is, in fact, a group-theoretical relation describing propagation of specific microscopic deviations of space geometry from the euclidean one (closed topological manifolds). The Dirac equation for a hydrogen atom can also be interpreted as a relation that accounts for the symmetry properties of a piece of curved space. Within the framework of this concept, atoms have no any pointlike particles (electrons) inside, and the gauge invariance of electromagnetic field proves to be the natural consequence of the basic principles of the proposed geometrical approach.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 16:34:13 GMT" } ]
2007-06-26T00:00:00
[ [ "Olkhov", "O. A.", "" ] ]
0706.3462
Eckart Viehweg
Martin Moeller, Eckart Viehweg, Kang Zuo
Stability of Hodge bundles and a numerical characterization of Shimura varieties
65 pages, AMSLaTeX. Some more corrections and supplements. We reformulated large parts of Sections 2, 4, 5, 6, and 7. In particular we filled a gap in the proof of 6.4., corrected several mistakes in Section 7 and added some references
null
null
null
math.AG math.CV
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Consider a family f:A --> U of g-dimensional abelian varieties over a quasiprojective manifold U. Suppose that the induced map from U to the moduli scheme of polarized abelian varieties is generically finite and that there is a projective manifold Y, containing U as the complement of a normal crossing divisor S, such that the sheaf of logarithmic one forms is nef and that its determinant is ample with respect to U. We characterize whether $U$ is a Shimura variety by numerical data attached to the variation of Hodge structures, rather than by properties of the map from U to the moduli scheme or by the existence of CM points. More precisely, we show that U is a Shimura variety, if and only if two conditions hold. First, each irreducible local subsystem V of the complex weight one variation of Hodge structures is either unitary or satisfies the Arakelov equality. Secondly, for each factor M in the universal cover of U whose tangent bundle behaves like the one of a complex ball, an iterated Kodaira-Spencer map associated with V has minimal possible length in the direction of M.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 16:42:19 GMT" }, { "version": "v2", "created": "Fri, 2 Nov 2007 14:50:48 GMT" }, { "version": "v3", "created": "Thu, 12 Feb 2009 11:04:09 GMT" }, { "version": "v4", "created": "Mon, 12 Oct 2009 09:41:07 GMT" } ]
2009-10-12T00:00:00
[ [ "Moeller", "Martin", "" ], [ "Viehweg", "Eckart", "" ], [ "Zuo", "Kang", "" ] ]
0706.3463
Magdalena Musat
Uffe Haagerup, Magdalena Musat
Classification of hyperfinite factors up to completely bounded isomorphism of their preduals
30 pages
null
null
null
math.OA
null
In this paper we consider the following problem: When are the preduals of two hyperfinite (=injective) factors $\M$ and $\N$ (on separable Hilbert spaces) cb-isomorphic (i.e., isomorphic as operator spaces)? We show that if $\M$ is semifinite and $\N$ is type III, then their preduals are not cb-isomorphic. Moreover, we construct a one-parameter family of hyperfinite type III$_0$-factors with mutually non cb-isomorphic preduals, and we give a characterization of those hyperfinite factors $\M$ whose preduals are cb-isomorphic to the predual of the unique hyperfinite type III$_1$-factor. In contrast, Christensen and Sinclair proved in 1989 that all infinite dimensional hyperfinite factors with separable preduals are cb-isomorphic. More recently Rosenthal, Sukochev and the first-named author proved that all hyperfinite type III$_\lambda$-factors, where $0< \lambda\leq 1$, have cb-isomorphic preduals.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 17:07:46 GMT" }, { "version": "v2", "created": "Wed, 8 Aug 2007 21:03:19 GMT" } ]
2007-08-09T00:00:00
[ [ "Haagerup", "Uffe", "" ], [ "Musat", "Magdalena", "" ] ]
0706.3464
Tim Davidge
T. J. Davidge
The Disk and Extraplanar Regions of NGC 2403
49 pages, including 17 figures. To appear in ApJ
Astrophys.J.664:820-839,2007
10.1086/519232
null
astro-ph
null
Wide field images obtained with WIRCam and MegaCam on the Canada-France-Hawaii Telescope are used to probe the spatial distribution of young stars in the Sc galaxy NGC 2403. Bright main sequence stars and blue supergiants are detected out to projected galactocentric distances of ~14 kpc (~7 disk scale lengths) along the major axis. The star formation rate (SFR) in the disk of NGC 2403 during the past 10 Myr has been 1 solar masses per year based on the number of bright main sequence stars. The radially-averaged number density of red supergiants (RSGs) per unit r-band surface brightness is constant throughout the disk, indicating that (1) RSGs follow the integrated r-band light, and (2) the SFR per unit mass has been constant with radius when averaged over time scales of a few tens of millions of years. The mean color of RSGs varies with galactocentric distance, suggesting that there is a metallicity gradient among recently formed stars. A comparison of the radially-averaged number density of bright main sequence stars also indicates that the SFR per unit stellar mass in NGC 2403 has been ~3 times higher than in NGC 247 during recent epochs, and this is in rough agreement with what would be predicted from the far infrared fluxes of these galaxies. Finally, the data are used to investigate the extraplanar regions of NGC 2403. A population of M giants with peak brightness M_K = -8 is detected at projected distances between 12 and 14 kpc above the disk plane, and six new globular cluster candidates are identified.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 19:21:33 GMT" } ]
2011-02-11T00:00:00
[ [ "Davidge", "T. J.", "" ] ]
0706.3465
Kazuhide Ichikawa
Kazuhide Ichikawa
Cosmological Constraint on the Effective Number of Neutrino Species
8 pages, 3 figures. Proceedings for the XIXth Rencontres de Blois, May 2007
null
null
null
astro-ph
null
We discuss constraints on the effective number of neutrino species Nnu from recent cosmological observations such as CMB, LSS, BBN, including our own analysis which uses the WMAP and the Luminous Red Galaxy power spectrum data. We also discuss their implications on some non-standard cosmological scenarios such as the low (MeV-scale) reheating temperature scenario and the scenario with decaying particles between BBN and structure formation.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 17:24:31 GMT" } ]
2007-06-26T00:00:00
[ [ "Ichikawa", "Kazuhide", "" ] ]
0706.3466
Stefano Bellucci
S. Bellucci, S. Krivonos and A. Sutulin
N=8 supersymmetric mechanics on the sphere S^3
9 pages, LaTeX file, PACS: 11.30.Pb, 03.65.-w
Phys.Rev.D76:065017,2007
10.1103/PhysRevD.76.065017
null
hep-th
null
Starting from quaternionic N=8 supersymmetric mechanics we perform a reduction over a bosonic radial variable, ending up with a nonlinear off-shell supermultiplet with three bosonic end eight fermionic physical degrees of freedom. The geometry of the bosonic sector of the most general sigma-model type action is described by an arbitrary function obeying the three dimensional Laplace equation on the sphere S^3. Among the bosonic components of this new supermultiplet there is a constant which gives rise to potential terms. After dualization of this constant one may come back to the supermultiplet with four physical bosons. However, this new supermultiplet is highly nonlinear. The geometry of the corresponding sigma-model action is briefly discussed.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 17:25:43 GMT" }, { "version": "v2", "created": "Mon, 30 Jul 2007 13:14:03 GMT" } ]
2008-11-26T00:00:00
[ [ "Bellucci", "S.", "" ], [ "Krivonos", "S.", "" ], [ "Sutulin", "A.", "" ] ]
0706.3467
Burin Gumjudpai
Burin Gumjudpai (TPTP Naresuan U.)
Coupled phantom field in loop quantum cosmology
5 pages, 5 figures, invited talk at the SIAM Physics Congress 2007 and the Thai National Astronomy Meeting 2007, Nakorn Pathom, Thailand
Thai Journal of Physics Series 3: Proceedings of the SIAM Physics Congress 2007 and the Thai National Astronomy Meeting 2007
null
null
gr-qc astro-ph hep-th
null
A model of phantom scalar field dark energy under exponential potential coupling to barotropic dark matter fluid in loop quantum cosmology is addressed here. We derive a closed-autonomous system for cosmological dynamics in this scenario. The expansion in loop quantum universe has a bounce even in presence of the phantom field. The greater decaying from dark matter to dark phantom energy results in greater energy storing in the phantom field. This results in further turning point of the field. Greater coupling also delays bouncing time. In the case of phantom decaying, oscillation in phantom density makes small oscillation in the increasing matter density.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 17:49:27 GMT" }, { "version": "v2", "created": "Tue, 3 Jul 2007 16:50:14 GMT" } ]
2008-04-18T00:00:00
[ [ "Gumjudpai", "Burin", "", "TPTP Naresuan U." ] ]
0706.3468
Magno Machado
M.B. Gay Ducati, M.M. Machado, M.V.T. Machado
Investigating diffractive W production in hadron-hadron collisions at high energies
4 pages, 1 table. To appear in the proceedings of 10th International Workshop on Hadron Physics (X Hadron Physics), Florianopolis, Brazil, 26-31 Mar 2007
Int.J.Mod.Phys.E16:2956-2960,2007
10.1142/S0218301307008811
null
hep-ph
null
We compute the hard diffractive hadroproduction of bosons W at high energies using Regge factorization and taking into account multiple Pomeron exchange corrections. The ratio of diffractive to non-diffractive W production agrees with the current Tevatron data and a prediction for the LHC is presented.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 18:14:06 GMT" } ]
2010-11-26T00:00:00
[ [ "Ducati", "M. B. Gay", "" ], [ "Machado", "M. M.", "" ], [ "Machado", "M. V. T.", "" ] ]
0706.3469
Michael Spanner
Michael Spanner and Paul Brumer
Entanglement and Timing-Based Mechanisms in the Coherent Control of Scattering Processes
null
null
10.1103/PhysRevA.76.013408
null
quant-ph physics.atom-ph physics.chem-ph
null
The coherent control of scattering processes is considered, with electron impact dissociation of H$_2^+$ used as an example. The physical mechanism underlying coherently controlled stationary state scattering is exposed by analyzing a control scenario that relies on previously established entanglement requirements between the scattering partners. Specifically, initial state entanglement assures that all collisions in the scattering volume yield the desirable scattering configuration. Scattering is controlled by preparing the particular internal state wave function that leads to the favored collisional configuration in the collision volume. This insight allows coherent control to be extended to the case of time-dependent scattering. Specifically, we identify reactive scattering scenarios using incident wave packets of translational motion where coherent control is operational and initial state entanglement is unnecessary. Both the stationary and time-dependent scenarios incorporate extended coherence features, making them physically distinct. From a theoretical point of view, this work represents a large step forward in the qualitative understanding of coherently controlled reactive scattering. From an experimental viewpoint, it offers an alternative to entanglement-based control schemes. However, both methods present significant challenges to existing experimental technologies.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 18:10:47 GMT" } ]
2009-11-13T00:00:00
[ [ "Spanner", "Michael", "" ], [ "Brumer", "Paul", "" ] ]
0706.3470
Michael Spanner
Michael Spanner and Paul Brumer
Coherent Control and Entanglement in the Attosecond Electron Recollision Dissociation of D2+
null
null
10.1103/PhysRevA.76.013409
null
quant-ph physics.atom-ph physics.chem-ph
null
We examine the attosecond electron recollision dissociation of D2+ recently demonstrated experimentally [H. Niikura et al., Nature (London) 421, 826 (2003)] from a coherent control perspective. In this process, a strong laser field incident on D2 ionizes an electron, accelerates the electron in the laser field to eV energies, and then drives the electron to recollide with the parent ion, causing D2+ dissociation. A number of results are demonstrated. First, a full dimensional Strong Field Approximation (SFA) model is constructed and shown to be in agreement with the original experiment. This is then used to rigorously demonstrate that the experiment is an example of coherent pump-dump control. Second, extensions to bichromatic coherent control are proposed by considering dissociative recollision of molecules prepared in a coherent superposition of vibrational states. Third, by comparing the results to similar scenarios involving field-free attosecond scattering of independently prepared D2+ and electron wave packets, recollision dissociation is shown to provide an example of wave-packet coherent control of reactive scattering. Fourth, this analysis makes clear that it is the temporal correlations between the continuum electron and D2+ wave packet, and not entanglement, that are crucial for the sub-femtosecond probing resolution demonstrated in the experiment. This result clarifies some misconceptions regarding the importance of entanglement in the recollision probing of D2+. Finally, signatures of entanglement between the recollision electron and the atomic fragments, detectable via coincidence measurements, are identified.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 18:22:31 GMT" } ]
2009-11-13T00:00:00
[ [ "Spanner", "Michael", "" ], [ "Brumer", "Paul", "" ] ]
0706.3471
Jonathan R. Friedman
M. Bal, Jonathan R. Friedman, W. Chen, M. T. Tuominen, C. C. Beedle, E. M. Rumberger and D. N. Hendrickson
Radiation- and Phonon-Bottleneck-Induced Tunneling in the Fe8 Single-Molecule Magnet
6 RevTeX pages, including 4 EPS figures, version accepted for publication
Europhys. Lett., 82, 17005 (2008)
10.1209/0295-5075/82/17005
null
cond-mat.mes-hall cond-mat.mtrl-sci
null
We measure magnetization changes in a single crystal of the single-molecule magnet Fe8 when exposed to intense, short (<20 $\mu$s) pulses of microwave radiation resonant with the m = 10 to 9 transition. We find that radiation induces a phonon bottleneck in the system with a time scale of ~5 $\mu$s. The phonon bottleneck, in turn, drives the spin dynamics, allowing observation of thermally assisted resonant tunneling between spin states at the 100-ns time scale. Detailed numerical simulations quantitatively reproduce the data and yield a spin-phonon relaxation time of T1 ~ 40 ns.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 19:12:58 GMT" }, { "version": "v2", "created": "Fri, 14 Mar 2008 03:10:19 GMT" } ]
2008-03-14T00:00:00
[ [ "Bal", "M.", "" ], [ "Friedman", "Jonathan R.", "" ], [ "Chen", "W.", "" ], [ "Tuominen", "M. T.", "" ], [ "Beedle", "C. C.", "" ], [ "Rumberger", "E. M.", "" ], [ "Hendrickson", "D. N.", "" ] ]
0706.3472
Erick Herbin
Erick Herbin and Ely Merzbach
Stationarity and Self-similarity Characterization of the Set-indexed Fractional Brownian Motion
18 pages
null
null
null
math.PR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The set-indexed fractional Brownian motion (sifBm) has been defined by Herbin-Merzbach (2006) for indices that are subsets of a metric measure space. In this paper, the sifBm is proved to statisfy a strenghtened definition of increment stationarity. This new definition for stationarity property allows to get a complete characterization of this process by its fractal properties: The sifBm is the only set-indexed Gaussian process which is self-similar and has stationary increments. Using the fact that the sifBm is the only set-indexed process whose projection on any increasing path is a one-dimensional fractional Brownian motion, the limitation of its definition for a self-similarity parameter 0<H<1/2 is studied, as illustrated by some examples. When the indexing collection is totally ordered, the sifBm can be defined for 0<H<1.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 19:16:55 GMT" }, { "version": "v2", "created": "Tue, 6 May 2008 20:47:47 GMT" }, { "version": "v3", "created": "Wed, 9 Jul 2008 10:05:34 GMT" } ]
2008-07-09T00:00:00
[ [ "Herbin", "Erick", "" ], [ "Merzbach", "Ely", "" ] ]
0706.3473
Eugene Loginov
E.K. Loginov
On a class of gauge theories
18 pages, LaTeX, no figures
J.Math.Phys.48:073522,2007
10.1063/1.2749173
null
hep-th
null
We give a framework to describe gauge theory in which a nonassociative Moufang loop takes the place of the structure group. The structure of such gauge theory has many formal similarities with that of Yang-Mills theory. We extend the gauge invariance to this theory and construct an on-shell version of N=1 supersymmetric gauge theory.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 19:36:24 GMT" } ]
2008-11-26T00:00:00
[ [ "Loginov", "E. K.", "" ] ]
0706.3474
Chia-Fu Yu
Chia-Fu Yu
An exact geometric mass formula
8 pages
null
null
null
math.NT
null
We show an exact geometric mass formula for superspecial points in the reduction of any quaternionic Shimura variety modulo at a good prime $p$.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 20:02:19 GMT" } ]
2007-06-26T00:00:00
[ [ "Yu", "Chia-Fu", "" ] ]
0706.3475
Da Xu
Da Xu
Emergence of time and Observable physics
This paper has been withdrawn
null
null
null
physics.gen-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This is a philosophy paper rather than mathematical physics work. I will publish it in some other place.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 20:09:38 GMT" }, { "version": "v2", "created": "Sat, 14 Jul 2007 01:03:25 GMT" }, { "version": "v3", "created": "Thu, 2 Aug 2007 03:58:43 GMT" }, { "version": "v4", "created": "Mon, 17 Aug 2009 16:43:42 GMT" } ]
2009-08-17T00:00:00
[ [ "Xu", "Da", "" ] ]
0706.3476
Anton Gerasimov
A. Gerasimov, D. Lebedev and S. Oblezin
Baxter operator and Archimedean Hecke algebra
32 pages, typos corrected,
null
10.1007/s00220-008-0547-9
null
math.RT
null
In this paper we introduce Baxter integral Q-operators for finite-dimensional Lie algebras gl(n+1) and so(2n+1). Whittaker functions corresponding to these algebras are eigenfunctions of the Q-operators with the eigenvalues expressed in terms of Gamma-functions. The appearance of the Gamma-functions is one of the manifestations of an interesting connection between Mellin-Barnes and Givental integral representations of Whittaker functions, which are in a sense dual to each other. We define a dual Baxter operator and derive a family of mixed Mellin-Barnes-Givental integral representations. Givental and Mellin-Barnes integral representations are used to provide a short proof of the Friedberg-Bump and Bump conjectures for G=GL(n+1) proved earlier by Stade. We also identify eigenvalues of the Baxter Q-operator acting on Whittaker functions with local Archimedean L-factors. The Baxter Q-operator introduced in this paper is then described as a particular realization of the explicitly defined universal Baxter operator in the spherical Hecke algebra H(G(R),K), K being a maximal compact subgroup of G. Finally we stress an analogy between Q-operators and certain elements of the non-Archimedean Hecke algebra H(G(Q_p),G(Z_p)).
[ { "version": "v1", "created": "Sat, 23 Jun 2007 20:34:58 GMT" }, { "version": "v2", "created": "Fri, 24 Aug 2007 18:36:39 GMT" }, { "version": "v3", "created": "Thu, 11 Oct 2007 06:32:17 GMT" } ]
2009-11-13T00:00:00
[ [ "Gerasimov", "A.", "" ], [ "Lebedev", "D.", "" ], [ "Oblezin", "S.", "" ] ]
0706.3477
Robbe Wunschiers
Robbe Wunschiers and Martin Vellguth
OrfMapper: A Web-Based Application for Visualizing Gene Clusters on Metabolic Pathway Maps
5 pages, 1 figure
null
null
null
q-bio.GN
null
Computational analyses of, e.g., genomic, proteomic, or metabolomic data, commonly result in one or more sets of candidate genes, proteins, or enzymes. These sets are often the outcome of clustering algorithms. Subsequently, it has to be tested if, e.g., the candidate gene-products are members of known metabolic processes. With OrfMapper we provide a powerful but easy-to-use, web-based database application, that supports such analyses. All services provided by OrfMapper are freely available at http://www.orfmapper.com
[ { "version": "v1", "created": "Sat, 23 Jun 2007 20:39:57 GMT" } ]
2007-06-26T00:00:00
[ [ "Wunschiers", "Robbe", "" ], [ "Vellguth", "Martin", "" ] ]
0706.3478
Ben Moonen
Ben Moonen
Relations between tautological cycles on Jacobians
24 pages, 2 figures. Added a conjecture of van der Geer and Kouvidakis. Corrected minor mistakes
null
null
null
math.AG
null
We study tautological cycle classes on the Jacobian of a curve. We prove a new result about the ring of tautological classes on a general curve that allows, among other things, easy dimension calculations and leads to some general results about the structure of this ring. Next we obtain a vanishing result for some of the generating classes p_i; this gives an improvement of an earlier result of Herbaut. Finally we lift a result of Herbaut and van der Geer-Kouvidakis to the Chow ring (as opposed to its quotient modulo algebraic equivalence) and we give a method to obtain further explicit cycle relations. As an ingredient for this we prove a theorem about how Polishchuk's operator D lifts to the tautological subalgebra of Chow(J).
[ { "version": "v1", "created": "Sat, 23 Jun 2007 21:08:33 GMT" }, { "version": "v2", "created": "Mon, 9 Jul 2007 12:55:39 GMT" } ]
2007-07-09T00:00:00
[ [ "Moonen", "Ben", "" ] ]
0706.3479
David Love
David Love
Hypocomputation
34 pages
null
null
null
cs.OH
null
Hypercomputational formal theories will, clearly, be both structurally and foundationally different from the formal theories underpinning computational theories. However, many of the maps that might guide us into this strange realm have been lost. So little work has been done recently in the area of metamathematics, and so many of the previous results have been folded into other theories, that we are in danger of loosing an appreciation of the broader structure of formal theories. As an aid to those looking to develop hypercomputational theories, we will briefly survey the known landmarks both inside and outside the borders of computational theory. We will not focus in this paper on why the structure of formal theory looks the way it does. Instead we will focus on what this structure looks like, moving from hypocomputational, through traditional computational theories, and then beyond to hypercomputational theories.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 21:13:43 GMT" } ]
2011-11-10T00:00:00
[ [ "Love", "David", "" ] ]
0706.3480
Soheil Mohajer
Soheil Mohajer and Ali Kakhbod
Tight Bounds on the Average Length, Entropy, and Redundancy of Anti-Uniform Huffman Codes
9 pages, 2 figures
IET Communications, vol. 5, no. 9, pp. 1213-1219, 2011
null
null
cs.IT math.IT
null
In this paper we consider the class of anti-uniform Huffman codes and derive tight lower and upper bounds on the average length, entropy, and redundancy of such codes in terms of the alphabet size of the source. The Fibonacci distributions are introduced which play a fundamental role in AUH codes. It is shown that such distributions maximize the average length and the entropy of the code for a given alphabet size. Another previously known bound on the entropy for given average length follows immediately from our results.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 21:18:36 GMT" } ]
2012-07-27T00:00:00
[ [ "Mohajer", "Soheil", "" ], [ "Kakhbod", "Ali", "" ] ]
0706.3481
Martin Houde
Martin Houde (1) and John E. Vaillancourt (2) ((1) The University of Western Ontario, (2) California Institute of Technology)
Astronomical Image Processing with Array Detectors
31 pages, 5 figures, accepted for publication in the PASP
PASP 2007 (August), 119, 871
10.1086/521109
null
astro-ph
null
We address the question of astronomical image processing from data obtained with array detectors. We define and analyze the cases of evenly, regularly, and irregularly sampled maps for idealized (i.e., infinite) and realistic (i.e., finite) detectors. We concentrate on the effect of interpolation on the maps, and the choice of the kernel used to accomplish this task. We show how the normalization intrinsic to the interpolation process must be carefully accounted for when dealing with irregularly sampled grids. We also analyze the effect of missing or dead pixels in the array, and their consequences for the Nyquist sampling criterion.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 21:36:19 GMT" } ]
2009-11-13T00:00:00
[ [ "Houde", "Martin", "" ], [ "Vaillancourt", "John E.", "" ] ]
0706.3482
Christopher J. Conselice
Christopher J. Conselice
The Assembly History of Massive Galaxies: What Do We Know?
Invited review, 12 pages, to appear in "Pathways through an eclectic Universe", J. H. Knapen, T. J. Mahoney, and A. Vazdekis (Eds.), ASP Conf. Ser., 2007
null
null
null
astro-ph
null
Understanding the formation history of massive galaxies is one of most popular and longstanding problems in astronomy, with observations and theory addressing how and when these systems assembled. Since the most massive galaxies in today's universe, with M_*> 10^11 M_0, are nearly all elliptical with uniform old stellar populations, we must probe higher redshifts to discover their full origins. A recent consensus has developed that nearly all M_* > 10^11 M_0 galaxies we see today were established by z~1, with at most a factor of two growth in stellar mass and number densities at lower redshifts. We review the evidence for this, and discuss how recent observations of star formation rates, colors, and morphologies of massive galaxies at z < 1 with M_* > 10^11 M_0 show that these systems are still experiencing some evolution. Massive galaxies undergo on average a single major merger at z < 1.5, and roughly half are experiencing star formation at the same redshifts. The highest mass galaxies, with M_* > 10^11.5 M_0, appear in similar abundance at z < 2, suggesting that extremely massive galaxies are mostly formed very early in the universe. Observations at z > 1.5 demonstrate that major galaxy mergers are the primary method for assembling these massive galaxies, with nearly all of this merging occurring at z > 2, with on average 4 to 5 major mergers taking place at z = 1.5 - 3.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 21:43:05 GMT" } ]
2007-06-26T00:00:00
[ [ "Conselice", "Christopher J.", "" ] ]
0706.3483
Michael Eichmair
Michael Eichmair
The size of isoperimetric surfaces in 3-manifolds and a rigidity result for the upper hemisphere
9 pages. Thoroughly revised final version. Comments welcome!
null
null
null
math.DG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We characterize the standard $\mathbb{S}^3$ as the closed Ricci-positive 3-manifold with scalar curvature at least 6 having isoperimetric surfaces of largest area: $4\pi$. As a corollary we answer in the affirmative an interesting special case of a conjecture of Min-Oo's on the scalar curvature rigidity of the upper hemisphere..
[ { "version": "v1", "created": "Sun, 24 Jun 2007 18:00:17 GMT" }, { "version": "v2", "created": "Mon, 2 Jul 2007 22:09:52 GMT" }, { "version": "v3", "created": "Wed, 19 Nov 2008 14:57:24 GMT" }, { "version": "v4", "created": "Sun, 7 Jun 2009 19:56:11 GMT" } ]
2009-06-08T00:00:00
[ [ "Eichmair", "Michael", "" ] ]
0706.3484
Schoeffel Laurent
L. Schoeffel (DAPNIA, Saclay)
Diffraction at HERA and implications for Tevatron and LHC
4 pages, 3 figures, proceedings of the XIIth international conference on Elastic and Diffractive Scattering (Hambourg) 21-25 may 2007
null
null
null
hep-ph
null
We describe new QCD fits to diffractive cross sections measured at HERA and we use the parton densities derived from these fits to predict the shape of the dijet mass fraction in double Pomeron exchange at the Tevatron. We discuss the existence of exclusive events in this dijet channel and some prospects are given for the LHC.
[ { "version": "v1", "created": "Sat, 23 Jun 2007 23:20:21 GMT" }, { "version": "v2", "created": "Tue, 26 Jun 2007 12:46:10 GMT" }, { "version": "v3", "created": "Sun, 8 Jul 2007 06:06:43 GMT" }, { "version": "v4", "created": "Sat, 21 Jul 2007 06:48:06 GMT" } ]
2007-07-21T00:00:00
[ [ "Schoeffel", "L.", "", "DAPNIA, Saclay" ] ]
0706.3485
Boaz Katz
Boaz Katz, Eli Waxman
In which shell-type SNRs should we look for gamma-rays and neutrinos from p-p collisions?
13 pages, 1 figure, accepted for publication in JCAP, minor revisions
JCAP0801:018,2008
10.1088/1475-7516/2008/01/018
null
astro-ph
null
We present a simple analytic model for the various contributions to the non-thermal emission from shell type SNRs, and show that this model's results reproduce well the results of previous detailed calculations. We show that the \geq 1 TeV gamma ray emission from the shell type SNRs RX J1713.7-3946 and RX J0852.0-4622 is dominated by inverse-Compton scattering of CMB photons (and possibly infra-red ambient photons) by accelerated electrons. Pion decay (due to proton-proton collisions) is shown to account for only a small fraction, \lesssim10^-2, of the observed flux, as assuming a larger fractional contribution would imply nonthermal radio and X-ray synchrotron emission and thermal X-ray Bremsstrahlung emission that far exceed the observed radio and X-ray fluxes. Models where pion decay dominates the \geq 1 TeV flux avoid the implied excessive synchrotron emission (but not the implied excessive thermal X-ray Bremsstrahlung emission) by assuming an extremely low efficiency of electron acceleration, K_ep \lesssim 10^-4 (K_ep is the ratio of the number of accelerated electrons and the number of accelerated protons at a given energy). We argue that observations of SNRs in nearby galaxies imply a lower limit of K_ep \gtrsim 10^-3, and thus rule out K_ep values \lesssim 10^-4 (assuming that SNRs share a common typical value of K_ep). It is suggested that SNRs with strong thermal X-ray emission, rather than strong non-thermal X-ray emission, are more suitable candidates for searches of gamma rays and neutrinos resulting from proton-proton collisions. In particular, it is shown that the neutrino flux from the SNRs above is probably too low to be detected by current and planned neutrino observatories (Abridged).
[ { "version": "v1", "created": "Sun, 24 Jun 2007 12:31:34 GMT" }, { "version": "v2", "created": "Wed, 4 Jul 2007 21:00:15 GMT" }, { "version": "v3", "created": "Sun, 23 Dec 2007 14:27:01 GMT" } ]
2008-11-26T00:00:00
[ [ "Katz", "Boaz", "" ], [ "Waxman", "Eli", "" ] ]
0706.3486
Stephanie van Willigenburg
Louis J. Billera, Samuel K. Hsiao and Stephanie van Willigenburg
Peak Quasisymmetric Functions and Eulerian Enumeration
23 pages; final version
Adv. Math. 176: 248--276 (2003)
null
null
math.CO
null
Via duality of Hopf algebras, there is a direct association between peak quasisymmetric functions and enumeration of chains in Eulerian posets. We study this association explicitly, showing that the notion of $\cd$-index, long studied in the context of convex polytopes and Eulerian posets, arises as the dual basis to a natural basis of peak quasisymmetric functions introduced by Stembridge. Thus Eulerian posets having a nonnegative $\cd$-index (for example, face lattices of convex polytopes) correspond to peak quasisymmetric functions having a nonnegative representation in terms of this basis. We diagonalize the operator that associates the basis of descent sets for all quasisymmetric functions to that of peak sets for the algebra of peak functions, and study the $g$-polynomial for Eulerian posets as an algebra homomorphism.
[ { "version": "v1", "created": "Sun, 24 Jun 2007 00:26:41 GMT" } ]
2007-06-26T00:00:00
[ [ "Billera", "Louis J.", "" ], [ "Hsiao", "Samuel K.", "" ], [ "van Willigenburg", "Stephanie", "" ] ]
0706.3487
Da-jun Zhang
Qi-fei Xuan, Mei-ying Ou, Da-jun Zhang
Wronskian solutions to the KdV equation via B\"acklund transformation
16 pages
null
null
null
nlin.SI
null
In the paper we discuss the B\"acklund transformation of the KdV equation between solitons and solitons, between negatons and negatons, between positons and positons, between rational solution and rational solution, and between complexitons and complexitons. We investigate the conditions that Wronskian entries satisfy for the bilinear B\"acklund transformation of the KdV equation. By choosing suitable Wronskian entries and the parameter in the bilinear B\"acklund transformation, we obtain transformations between many kinds of solutions.
[ { "version": "v1", "created": "Sun, 24 Jun 2007 00:52:09 GMT" } ]
2007-06-26T00:00:00
[ [ "Xuan", "Qi-fei", "" ], [ "Ou", "Mei-ying", "" ], [ "Zhang", "Da-jun", "" ] ]
0706.3488
Schoeffel Laurent
L. Schoeffel (DAPNIA, Saclay)
Generalised parton distributions at HERA and prospects for COMPASS
8 pages, 5 figures, submitted to Phys. Lett. B
Phys.Lett.B658:33-39,2007
10.1016/j.physletb.2007.10.036
null
hep-ph
null
We present a model of generalised parton distributions based on a forward ansatz in the DGLAP region. We discuss some aspects of the parametrisations, as the dependence in t, with factorised and non-factorised approaches, where t is the square of the four-momentum exchanged at the hadron vertex. The predictions of this model are then compared with DVCS cross sections from H1 and ZEUS, and a related observable, the skewing factor, defined as the following ratio imaginary amplitudes : $R \equiv {Im {\cal A} (\gamma^*+p \to \gamma +p)\lfrestriction{t=0}} / {Im {\cal A} (\gamma^*+p \to \gamma^* +p)\lfrestriction{t=0}}$. It is an interesting quantity including both the non-forward kinematics and the non-diagonal effects. Finally, we discuss the beam charge asymmetry, which is certainly the most sensitive observable to the different hypothesis needed in the GPDs parametrisations. We show that the approximations done for the t dependence lead to significant differences for the predictions in the HERMES kinematic domain and prospects are given for COMPASS.
[ { "version": "v1", "created": "Sun, 24 Jun 2007 02:17:01 GMT" }, { "version": "v2", "created": "Tue, 26 Jun 2007 14:22:49 GMT" }, { "version": "v3", "created": "Tue, 10 Jul 2007 10:42:24 GMT" }, { "version": "v4", "created": "Fri, 3 Aug 2007 09:24:40 GMT" }, { "version": "v5", "created": "Sat, 4 Aug 2007 07:52:48 GMT" }, { "version": "v6", "created": "Tue, 16 Oct 2007 08:57:10 GMT" }, { "version": "v7", "created": "Thu, 18 Oct 2007 10:02:53 GMT" } ]
2010-03-25T00:00:00
[ [ "Schoeffel", "L.", "", "DAPNIA, Saclay" ] ]
0706.3489
Hideo Hasegawa
Hiode Hasegawa (Tokyo Gakugei Univ.)
Information on mean, fluctuation and synchrony conveyed by a population of firing neurons
26 pages, 10 figures, revised the manuscript
null
null
null
cond-mat.dis-nn
null
A population of firing neurons is expected to carry not only mean firing rate but also its fluctuation and synchrony among neurons. In order to examine this possibility, we have studied responses of neuronal ensembles to three kinds of inputs: mean-, fluctuation- and synchrony-driven inputs. The generalized rate-code model including additive and multiplicative noise (H. Hasegawa, Phys. Rev. E {\bf 75}, 051904 (2007)) has been studied by direct simulations (DSs) and the augmented moment method (AMM) in which equations of motion for mean firing rate, fluctuation and synchrony are derived. Results calculated by the AMM are in good agreement with those by DSs. The independent component analysis (ICA) of our results has shown that mean firing rate, fluctuation (or variability) and synchrony may carry independent information in the population rate-code model. The input-output relation of mean firing rates is shown to have higher sensitivity for larger multiplicative noise, as recently observed in prefrontal cortex. A comparison is made between results obtained by the integrate-and-fire (IF) model and our rate-code model. The relevance of our results to experimentally obtained data is also discussed.
[ { "version": "v1", "created": "Sun, 24 Jun 2007 09:23:15 GMT" }, { "version": "v2", "created": "Thu, 28 Jun 2007 00:42:41 GMT" }, { "version": "v3", "created": "Tue, 28 Aug 2007 21:26:22 GMT" }, { "version": "v4", "created": "Mon, 18 Feb 2008 19:35:34 GMT" } ]
2008-02-18T00:00:00
[ [ "Hasegawa", "Hiode", "", "Tokyo Gakugei Univ." ] ]
0706.3490
Lujun Fang
Zhongzhi Zhang, Shuigeng Zhou, Lujun Fang, Jihong Guan, Yichao Zhang
Maximal planar scale-free Sierpinski networks with small-world effect and power-law strength-degree correlation
6 pages, 5 figures, accepted by EPL
EPL,79(2007)38007
10.1209/0295-5075/79/38007
null
physics.soc-ph
null
Many real networks share three generic properties: they are scale-free, display a small-world effect, and show a power-law strength-degree correlation. In this paper, we propose a type of deterministically growing networks called Sierpinski networks, which are induced by the famous Sierpinski fractals and constructed in a simple iterative way. We derive analytical expressions for degree distribution, strength distribution, clustering coefficient, and strength-degree correlation, which agree well with the characterizations of various real-life networks. Moreover, we show that the introduced Sierpinski networks are maximal planar graphs.
[ { "version": "v1", "created": "Sun, 24 Jun 2007 04:22:56 GMT" } ]
2007-07-16T00:00:00
[ [ "Zhang", "Zhongzhi", "" ], [ "Zhou", "Shuigeng", "" ], [ "Fang", "Lujun", "" ], [ "Guan", "Jihong", "" ], [ "Zhang", "Yichao", "" ] ]
0706.3491
Lujun Fang
Zhongzhi Zhang, Lichao Chen, Shuigeng Zhou, Lujun Fang, Jihong Guan, Tao Zou
Exact analytical solution of average path length for Apollonian networks
8 pages, 4 figures
Phys. Rev. E 77, 017102 (2008)
10.1103/PhysRevE.77.017102
null
cond-mat.stat-mech physics.soc-ph
null
The exact formula for the average path length of Apollonian networks is found. With the help of recursion relations derived from the self-similar structure, we obtain the exact solution of average path length, $\bar{d}_t$, for Apollonian networks. In contrast to the well-known numerical result $\bar{d}_t \propto (\ln N_t)^{3/4}$ [Phys. Rev. Lett. \textbf{94}, 018702 (2005)], our rigorous solution shows that the average path length grows logarithmically as $\bar{d}_t \propto \ln N_t$ in the infinite limit of network size $N_t$. The extensive numerical calculations completely agree with our closed-form solution.
[ { "version": "v1", "created": "Sun, 24 Jun 2007 04:35:30 GMT" }, { "version": "v2", "created": "Thu, 31 Jan 2008 14:14:44 GMT" } ]
2009-11-13T00:00:00
[ [ "Zhang", "Zhongzhi", "" ], [ "Chen", "Lichao", "" ], [ "Zhou", "Shuigeng", "" ], [ "Fang", "Lujun", "" ], [ "Guan", "Jihong", "" ], [ "Zou", "Tao", "" ] ]
0706.3492
Takashi Hotta
Takashi Hotta
Multipole State of Heavy Lanthanide Filled Skutterudites
5 pages, 3 figures
J. Phys. Soc. Jpn. 76, 083705 (2007).
10.1143/JPSJ.76.083705
null
cond-mat.str-el
null
We discuss multipole properties of filled skutterudites containing heavy lanthanide Ln from a microscopic viewpoint on the basis of a seven-orbital Anderson model. For Ln=Gd, in contrast to naive expectation, quadrupole moments remain in addition to main dipole ones. For Ln=Ho, we find an exotic state governed by octupole moment. For Ln=Tb and Tm, no significant multipole moments appear at low temperatures, while for Ln=Dy, Er, and Yb, dipole and higher-order multipoles are dominant. We briefly discuss possible relevance of these multipole states with actual materials.
[ { "version": "v1", "created": "Sun, 24 Jun 2007 04:36:39 GMT" } ]
2009-11-16T00:00:00
[ [ "Hotta", "Takashi", "" ] ]
0706.3493
Takayuki Shirakura
T. Shirakura, D. Ninomiya, Y. Iyama, and F. Matsubara
Gabay-Toulouse Phase Transition in Heisenberg Spin-Glasses in Three Dimensions
4 pages, 7 figures
null
null
null
cond-mat.dis-nn
null
We examine three-dimensional $\pm J$ Heisenberg models with and without random anisotropies in a magnetic field. We calculate both the stiffness exponent $\theta_s$ at absolute zero temperature and spin-glass correlation lengths for the longitudinal and transverse spin components at finite temperatures. We suggest that, contrary to a chirality scenario predicted by Kawamura and his co-workers, a Gabay-Toulouse phase transition occurs when the anisotropies are absent, although no phase transition occurs when they are present.
[ { "version": "v1", "created": "Sun, 24 Jun 2007 05:02:08 GMT" } ]
2007-06-26T00:00:00
[ [ "Shirakura", "T.", "" ], [ "Ninomiya", "D.", "" ], [ "Iyama", "Y.", "" ], [ "Matsubara", "F.", "" ] ]
0706.3494
Aleksandr I. Sokolov
A. I. Sokolov
Two-dimensional phase transition models and \lambda \phi^4 field theory
13 pages, 7 tables, to appear in J. Phys. Studies 10, No 4 (2006)
J.Phys.Stud.10:351-357,2006
null
null
cond-mat.stat-mech hep-lat hep-ph hep-th
null
The overview is given of the results obtained recently in the course of renormalization-group (RG) study of two-dimensional (2D) models. RG functions of the two-dimensional n-vector \lambda \phi^4 Euclidean field theory are written down up to the five-loop terms and perturbative series are resummed by the Pade-Borel-Leroy techniques. An account for the five-loop term is shown to shift the Wilson fixed point only briefly, leaving it outside the segment formed by the results of the lattice calculations. This is argued to reflect the influence of the non-analytical contribution to the \beta-function. The evaluation of the critical exponents for n = 1, n = 0 and n = -1 in the five-loop approximation and comparison of the results with known exact values confirm the conclusion that non-analytical contributions are visible in two dimensions. The estimates obtained on the base of pseudo-\epsilon expansions originating from the 5-loop 2D RG series are also discussed.
[ { "version": "v1", "created": "Sun, 24 Jun 2007 05:48:25 GMT" } ]
2008-11-26T00:00:00
[ [ "Sokolov", "A. I.", "" ] ]
0706.3495
Yudai Suwa Dr.
Yudai Suwa, Tomoya Takiwaki, Kei Kotake, Katsuhiko Sato
Gravitational Wave Background from Population III Stars
4 pages, 3 figures, accepted for publication in ApJL
AIP Conf.Proc.990:142-144,2008; Astrophys.J.665:L43-L46,2007
10.1063/1.2905522 10.1086/521078
UTAP-581, RESCEU-79/07
astro-ph
null
We estimate the gravitational wave (GW) background from Population III (Pop III) stars using the results from our hydrodynamic simulations (Suwa et al. 2007). We calculate gravitational waveforms from matter motions and anisotropic neutrino emissions for single Pop III stars. We find that the GW amplitudes from matter motions are dominant until just after bounce, but those from neutrinos dominate later on at frequencies below $\sim 10$ Hz in the GW spectrum. Computing the overall signal produced by the ensemble of such Pop III stars, we find that the resultant density parameter of the GW background peaks at the amplitude of $\Omega_\mathrm{GW}\sim 10^{-10}$ in the frequency interval $\sim 1-10$ Hz. We show that such signals, depending on the formation rate of Pop III stars, can be within the detection limits of future planned interferometers such as DECIGO and BBO in the frequency interval of $\sim 0.1-1$ Hz. Our results suggest that the detection of the GW background from Pop III stars can be an important tool to supply the information about the star formation history in the early universe.
[ { "version": "v1", "created": "Sun, 24 Jun 2007 05:58:40 GMT" } ]
2010-11-11T00:00:00
[ [ "Suwa", "Yudai", "" ], [ "Takiwaki", "Tomoya", "" ], [ "Kotake", "Kei", "" ], [ "Sato", "Katsuhiko", "" ] ]
0706.3496
Makiko Nio
T. Aoyama, M. Hayakawa, T. Kinoshita, and M. Nio
Revised value of the eighth-order electron g-2
4 pages, 1 figure, typo is corrected
Phys.Rev.Lett.99:110406,2007
10.1103/PhysRevLett.99.110406
null
hep-ph
null
The contribution to the eighth-order anomalous magnetic moment (g-2) of the electron from a set of diagrams without closed lepton loops is recalculated using a new FORTRAN code generated by an automatic code generator. Comparing the contributions of individual diagrams of old and new calculations, we found an inconsistency in the old treatment of infrared subtraction terms in two diagrams. Correcting this error leads to the revised value -1.9144 (35) (alpha/pi)^4 for the eighth-order term. This theoretical change induces the shift of the inverse of the fine structure constant by -6.41180(73)x10^{-7}.
[ { "version": "v1", "created": "Sun, 24 Jun 2007 08:11:04 GMT" }, { "version": "v2", "created": "Tue, 26 Jun 2007 01:50:47 GMT" } ]
2008-11-26T00:00:00
[ [ "Aoyama", "T.", "" ], [ "Hayakawa", "M.", "" ], [ "Kinoshita", "T.", "" ], [ "Nio", "M.", "" ] ]
0706.3497
Wen Hui Long
Wen Hui Long, Hiroyuki Sagawa, Nguyen Van Giai, and Jie Meng
Shell Structure and $\rho$-Tensor Correlations in Density-Dependent Relativistic Hartree-Fock theory
20 pages, 11 figures, 6 tables
Phys.Rev.C76:034314,2007
10.1103/PhysRevC.76.034314
null
nucl-th
null
A new effective interaction PKA1 with $\rho$-tensor couplings for the density-dependent relativistic Hartree-Fock (DDRHF) theory is presented. It is obtained by fitting selected empirical ground state and shell structure properties. It provides satisfactory descriptions of nuclear matter and the ground state properties of finite nuclei at the same quantitative level as recent DDRHF and RMF models. Significant improvement on the single-particle spectra is also found due to the inclusion of $\rho$-tensor couplings. As a result, PKA1 cures a common disease of the existing DDRHF and RMF Lagrangians, namely the artificial shells at 58 and 92, and recovers the realistic sub-shell closure at 64. Moreover, the proper spin-orbit splittings and well-conserved pseudo-spin symmetry are obtained with the new effective interaction PKA1. Due to the extra binding introduced by the $\rho$-tensor correlations, the balance between the nuclear attractions and the repulsions is changed and this constitutes the physical reason for the improvement of the nuclear shell structure.
[ { "version": "v1", "created": "Sun, 24 Jun 2007 06:03:28 GMT" } ]
2008-11-26T00:00:00
[ [ "Long", "Wen Hui", "" ], [ "Sagawa", "Hiroyuki", "" ], [ "Van Giai", "Nguyen", "" ], [ "Meng", "Jie", "" ] ]
0706.3498
Jihn E. Kim
Jihn E. Kim
Z_{12-I} Orbifold Compactification toward SUSY Standard Model
13 pages with 5 figure. Talk presented at "CTP Symposium on SUSY at LHC", Cairo, 11-14 March 2007
Int.J.Mod.Phys.A22:5609-5621,2007
10.1142/S0217751X07038876
null
hep-ph
null
We explain the orbifold compactification in string models and present a Z_{12-I} orbifold compactification toward supersymmetric standard models. We also point out an effective R-parity from this string construction. The VEVs of gauge singlets are chosen such that phenomenological constraints are satisfied.
[ { "version": "v1", "created": "Sun, 24 Jun 2007 06:32:20 GMT" } ]
2010-11-03T00:00:00
[ [ "Kim", "Jihn E.", "" ] ]
0706.3499
Bharath Sriperumbudur
Bharath K. Sriperumbudur and Gert R. G. Lanckriet
Metric Embedding for Nearest Neighbor Classification
9 pages, 1 table
null
null
null
stat.ML
null
The distance metric plays an important role in nearest neighbor (NN) classification. Usually the Euclidean distance metric is assumed or a Mahalanobis distance metric is optimized to improve the NN performance. In this paper, we study the problem of embedding arbitrary metric spaces into a Euclidean space with the goal to improve the accuracy of the NN classifier. We propose a solution by appealing to the framework of regularization in a reproducing kernel Hilbert space and prove a representer-like theorem for NN classification. The embedding function is then determined by solving a semidefinite program which has an interesting connection to the soft-margin linear binary support vector machine classifier. Although the main focus of this paper is to present a general, theoretical framework for metric embedding in a NN setting, we demonstrate the performance of the proposed method on some benchmark datasets and show that it performs better than the Mahalanobis metric learning algorithm in terms of leave-one-out and generalization errors.
[ { "version": "v1", "created": "Sun, 24 Jun 2007 06:50:24 GMT" } ]
2007-06-26T00:00:00
[ [ "Sriperumbudur", "Bharath K.", "" ], [ "Lanckriet", "Gert R. G.", "" ] ]
0706.3500
Sourav Chatterjee
Sourav Chatterjee
Spin glasses and Stein's method
29 pages. Final version. To appear in PTRF
null
null
null
math.PR math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We introduce some applications of Stein's method in the high temperature analysis of spin glasses. Stein's method allows the direct analysis of the Gibbs measure without having to create a cavity. Another advantage is that it gives limit theorems with total variation error bounds, although the bounds can be suboptimal. A surprising byproduct of our analysis is a relatively transparent explanation of the Thouless-Anderson-Palmer system of equations. Along the way, we develop Stein's method for mixtures of two Gaussian densities.
[ { "version": "v1", "created": "Sun, 24 Jun 2007 06:57:31 GMT" }, { "version": "v2", "created": "Sun, 25 Nov 2007 08:04:53 GMT" }, { "version": "v3", "created": "Sun, 2 Aug 2009 10:16:06 GMT" } ]
2009-08-02T00:00:00
[ [ "Chatterjee", "Sourav", "" ] ]
0706.3501
Moire Prescott
Moire K. M. Prescott (1), Robert C. Kennicutt Jr. (2 and 1), George J. Bendo (3 and 1), Brent A. Buckalew (4), Daniela Calzetti (6 and 5), Charles W. Engelbracht (1), Karl D. Gordon (1), David J. Hollenbach (7), Janice C. Lee (8 and 1), John Moustakas (9), Daniel A. Dale (10), George Helou (4), Thomas H. Jarrett (4), Eric J. Murphy (11), John-David T. Smith (1), Sanae Akiyama (1), Megan L. Sosey (5) ((1) Steward Observatory, University of Arizona, (2) Institute of Astronomy, University of Cambridge, (3) Astrophysics Group, Imperial College, (4) Caltech, IPAC, (5) Space Telescope Science Institute, (6) Department of Astronomy, University of Massachussetts, (7) NASA/Ames Research Center, (8) National Optical Astronomy Observatory, (9) Department of Physics, New York University, (10) Department of Physics and Astronomy, University of Wyoming, (11) Department of Astronomy, Yale University)
The Incidence of Highly-Obscured Star-Forming Regions in SINGS Galaxies
Accepted for publication in ApJ; emulateapj style, 30 pages, 18 figures (compressed versions), 3 tables
Astrophys.J. 668 (2007) 182-202
10.1086/521071
null
astro-ph
null
Using the new capabilities of the Spitzer Space Telescope and extensive multiwavelength data from the Spitzer Infrared Nearby Galaxies Survey (SINGS), it is now possible to study the infrared properties of star formation in nearby galaxies down to scales equivalent to large HII regions. We are therefore able to determine what fraction of large, infrared-selected star-forming regions in normal galaxies are highly obscured and address how much of the star formation we miss by relying solely on the optical portion of the spectrum. Employing a new empirical method for deriving attenuations of infrared-selected star-forming regions we investigate the statistics of obscured star formation on 500pc scales in a sample of 38 nearby galaxies. We find that the median attenuation is 1.4 magnitudes in H-alpha and that there is no evidence for a substantial sub-population of uniformly highly-obscured star-forming regions. The regions in the highly-obscured tail of the attenuation distribution (A_H-alpha > 3) make up only ~4% of the sample of nearly 1800 regions, though very embedded infrared sources on the much smaller scales and lower luminosities of compact and ultracompact HII regions are almost certainly present in greater numbers. The highly-obscured cases in our sample are generally the bright, central regions of galaxies with high overall attenuation but are not otherwise remarkable. We also find that a majority of the galaxies show decreasing radial trends in H-alpha attenuation. The small fraction of highly-obscured regions seen in this sample of normal, star-forming galaxies suggests that on 500pc scales the timescale for significant dispersal or break up of nearby, optically-thick dust clouds is short relative to the lifetime of a typical star-forming region.
[ { "version": "v1", "created": "Sun, 24 Jun 2007 07:45:05 GMT" } ]
2009-11-13T00:00:00
[ [ "Prescott", "Moire K. M.", "", "2 and 1" ], [ "Kennicutt", "Robert C.", "Jr.", "2 and 1" ], [ "Bendo", "George J.", "", "3 and 1" ], [ "Buckalew", "Brent A.", "", "6 and 5" ], [ "Calzetti", "Daniela", "", "6 and 5" ], [ "Engelbracht", "Charles W.", "", "8 and 1" ], [ "Gordon", "Karl D.", "", "8 and 1" ], [ "Hollenbach", "David J.", "", "8 and 1" ], [ "Lee", "Janice C.", "", "8 and 1" ], [ "Moustakas", "John", "" ], [ "Dale", "Daniel A.", "" ], [ "Helou", "George", "" ], [ "Jarrett", "Thomas H.", "" ], [ "Murphy", "Eric J.", "" ], [ "Smith", "John-David T.", "" ], [ "Akiyama", "Sanae", "" ], [ "Sosey", "Megan L.", "" ] ]
0706.3502
P Vijay Kumar
Petros Elia and P. Vijay Kumar
Approximately-Universal Space-Time Codes for the Parallel, Multi-Block and Cooperative-Dynamic-Decode-and-Forward Channels
null
null
null
null
cs.IT cs.DM cs.NI math.IT
null
Explicit codes are constructed that achieve the diversity-multiplexing gain tradeoff of the cooperative-relay channel under the dynamic decode-and-forward protocol for any network size and for all numbers of transmit and receive antennas at the relays. A particularly simple code construction that makes use of the Alamouti code as a basic building block is provided for the single relay case. Along the way, we prove that space-time codes previously constructed in the literature for the block-fading and parallel channels are approximately universal, i.e., they achieve the DMT for any fading distribution. It is shown how approximate universality of these codes leads to the first DMT-optimum code construction for the general, MIMO-OFDM channel.
[ { "version": "v1", "created": "Sun, 24 Jun 2007 07:47:57 GMT" }, { "version": "v2", "created": "Fri, 13 Jul 2007 12:43:51 GMT" } ]
2007-07-13T00:00:00
[ [ "Elia", "Petros", "" ], [ "Kumar", "P. Vijay", "" ] ]
0706.3503
Yoshiko Kanada-En'yo
Yoshiko Kanada-En'yo, Yusuke Kawanami, Yasutaka Taniguchi, and Masaaki Kimura
Largely deformed states of $^{13}$B
4 figures, submitted to Phys. Rev. C
null
null
null
nucl-th
null
The excited states of $^{13}$B were studied with a method of antisymmetrized molecular dynamics(AMD). The theoretical results suggest that the intruder states with large deformations construct the rotational bands, $K^\pi=3/2^-$ and $K^\pi=1/2^+$, starting from 5 MeV and 8 MeV, respectively. The neutron structure of the $K^\pi=3/2^-$ is analogous to the intruder ground state of $^{12}$Be. In the predicted $K^\pi=1/2^+$ band, we found very exotic structure with a proton intruder configuration. This proton intruder state has a larger deformation than superdeformation. The band-head $1/2^+$ state is assigned to the $1/2^+$(4.83 MeV), which was experimentally suggested to be the proton intruder state because of the strong production via the proton-transfer to the $^{12}$Be($0^+$) state in the $^4$He($^{12}$Be,$^{13}$B$\gamma$)$X$ experiments.
[ { "version": "v1", "created": "Sun, 24 Jun 2007 08:08:15 GMT" } ]
2007-06-26T00:00:00
[ [ "Kanada-En'yo", "Yoshiko", "" ], [ "Kawanami", "Yusuke", "" ], [ "Taniguchi", "Yasutaka", "" ], [ "Kimura", "Masaaki", "" ] ]
0706.3504
Qi-Ren Zhang
Qi-Ren Zhang
Axiomatic Foundations for the Principle of Entropy Increase
8 pages
Int. J. Mod. Phys. E17(2008) 1075-1082
10.1142/S0218301308010362
null
physics.class-ph
null
We show that the principle of entropy increase may be exactly founded on a few axioms valid not only for quantum and classical statistics, but also for a wide range of statistical processes.
[ { "version": "v1", "created": "Sun, 24 Jun 2007 09:07:20 GMT" }, { "version": "v2", "created": "Thu, 2 Aug 2007 01:25:29 GMT" } ]
2009-11-13T00:00:00
[ [ "Zhang", "Qi-Ren", "" ] ]
0706.3505
Dariush Latifi
Dariush Latifi, Asadollah Razavi
A symmetric Finsler space with Chern connection
null
null
null
null
math.DG
null
We define a symmetry for a Finsler space with Chern connection and investigate its implementation and properties and find a relation between them and flag curvature.
[ { "version": "v1", "created": "Sun, 24 Jun 2007 09:10:14 GMT" } ]
2007-06-26T00:00:00
[ [ "Latifi", "Dariush", "" ], [ "Razavi", "Asadollah", "" ] ]
0706.3506
Oren Shafir
Amit Keren, Oren Shafir, Efrat Shimshoni, Valerie Marvaud, Anne Bachschmidt, Jerome Long
Experimental Estimates of Dephasing Time in Molecular Magnets
10 pages, 3 figures
Phys. Rev. Lett. 98, 257204 (2007)
10.1103/PhysRevLett.98.257204
null
cond-mat.str-el
null
Muon spin relaxation measurements in isotropic molecular magnets (MM) with a spin value S ranging from 7/2 to 27/2 are used to determine the magnitude and origin of dephasing time $\tau_\phi$ of molecular magnets. It is found that $\tau_\phi$ ~ 10 nsec with no S or ligand dependence. This indicates a nuclear origin for the stochastic field. Since $\tau_\phi$ is a property of the environment, we argue that it is a number common to similar types of MM. Therefore, $\tau_\phi$ is shorter than the Zener and tunneling times of anisotropic MM such as Fe8 or Mn4 for standard laboratory sweep rates. Our findings call for a stochastic Landau-Zener theory in this particular case.
[ { "version": "v1", "created": "Sun, 24 Jun 2007 10:03:57 GMT" }, { "version": "v2", "created": "Tue, 26 Jun 2007 07:35:40 GMT" } ]
2007-06-26T00:00:00
[ [ "Keren", "Amit", "" ], [ "Shafir", "Oren", "" ], [ "Shimshoni", "Efrat", "" ], [ "Marvaud", "Valerie", "" ], [ "Bachschmidt", "Anne", "" ], [ "Long", "Jerome", "" ] ]
0706.3507
Yair Goldfarb
Yair Goldfarb and David J Tannor
Interference in Bohmian Mechanics with Complex Action
null
null
10.1063/1.2794029
null
quant-ph
null
In recent years, intensive effort has gone into developing numerical tools for exact quantum mechanical calculations that are based on Bohmian mechanics. As part of this effort we have recently developed as alternative formulation of Bohmian mechanics in which the quantum action, S, is taken to be complex [JCP {125}, 231103 (2006)]. In the alternative formulation there is a significant reduction in the magnitude of the quantum force as compared with the conventional Bohmian formulation, at the price of propagating complex trajectories. In this paper we show that Bohmian mechanics with complex action is able to overcome the main computational limitation of conventional Bohmian methods -- the propagation of wavefunctions once nodes set in. In the vicinity of nodes, the quantum force in conventional Bohmian formulations exhibits rapid oscillations that pose severe difficulties for existing numerical schemes. We show that within complex Bohmian mechanics, multiple complex initial conditions can lead to the same real final position, allowing for the description of nodes as a sum of the contribution from two or more crossing trajectories. The idea is illustrated on the reflection amplitude from a one-dimensional Eckart barrier. We believe that trajectory crossing, although in contradiction to the conventional Bohmian trajectory interpretation, provides an important new tool for dealing with the nodal problem in Bohmian methods.
[ { "version": "v1", "created": "Sun, 24 Jun 2007 10:08:52 GMT" } ]
2009-11-13T00:00:00
[ [ "Goldfarb", "Yair", "" ], [ "Tannor", "David J", "" ] ]
0706.3508
Yair Goldfarb
Yair Goldfarb, Jeremy Schiff and David J Tannor
Unified derivation of Bohmian methods and the incorporation of interference effects
null
null
null
null
quant-ph
null
We present a unified derivation of Bohmian methods that serves as a common starting point for the derivative propagation method (DPM), Bohmian mechanics with complex action (BOMCA) and the zero-velocity complex action method (ZEVCA). The unified derivation begins with the ansatz $\psi=e^{\frac{iS}{\hbar}}$ where the action, $S$, is taken to be complex and the quantum force is obtained by writing a hierarchy of equations of motion for the phase partial derivatives. We demonstrate how different choices of the trajectory velocity field yield different formulations such as DPM, BOMCA and ZEVCA. The new derivation is used for two purposes. First, it serves as a common basis for comparing the role of the quantum force in the DPM and BOMCA formulations. Second, we use the new derivation to show that superposing the contributions of real, crossing trajectories yields a nodal pattern essentially identical to that of the exact quantum wavefunction. The latter result suggests a promising new approach to deal with the challenging problem of nodes in Bohmian mechanics.
[ { "version": "v1", "created": "Sun, 24 Jun 2007 10:19:07 GMT" } ]
2007-06-26T00:00:00
[ [ "Goldfarb", "Yair", "" ], [ "Schiff", "Jeremy", "" ], [ "Tannor", "David J", "" ] ]
0706.3509
Egle Tomasi-Gustafsson
C. Adamu\v{s}\v{c}\'in, E. Tomasi-Gustafsson, E. Santopinto and R. Bijker
Two-component model for the axial form factor of the nucleon
12 pages 2 figures Final version to appear in Phys. Rev. C
Phys.Rev.C78:035201,2008
10.1103/PhysRevC.78.035201
null
nucl-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The axial form factor of the nucleon is studied in a two-component model consisting of a three-quark intrinsic structure surrounded by a meson cloud. The experimental data in the space-like region are well reproduced with a minimal number of parameters. The results are similar to those obtained from a dipole fit up to 1 GeV$^2$, but they surprisingly show a zero between 2 and 3 GeV$^2$. Such behavior, predicted by the present model completely disagrees with the dipole parametrization. The theoretical expression for the form factor is then analytically extrapolated to the time-like region, giving the first predictions in this regime. This kinematical region is especially interesting for present and future colliders.
[ { "version": "v1", "created": "Sun, 24 Jun 2007 10:48:11 GMT" }, { "version": "v2", "created": "Tue, 4 Mar 2008 08:18:40 GMT" }, { "version": "v3", "created": "Wed, 20 Aug 2008 10:13:51 GMT" } ]
2008-11-26T00:00:00
[ [ "Adamuščín", "C.", "" ], [ "Tomasi-Gustafsson", "E.", "" ], [ "Santopinto", "E.", "" ], [ "Bijker", "R.", "" ] ]
0706.3510
Guowen Wang
Wang Guowen
Realistic solution to the tunneling time problem
9 pages, 6 figures
null
null
null
quant-ph
null
There remains the old question of how long a quantum particle takes to tunnel through a potential barrier higher than its incident kinetic energy. In this article a solution of the question is proposed on the basis of a realistic explanation of quantum mechanics. The explanation implies that the tunneling particle has a certain chance to borrow enough energy from self-interference to high-jump over the barrier. The root-mean-square velocity and the effective tunneling time of an electron tunneling through a rectangular barrier are numerically calculated. No superluminal effect (Hartman effect) is found for the tunneling electron. Heisenberg's energy-time uncertainty relation for the tunneling effect is verified by calculating an introduced coefficient representing uncertainty. The present author argues that phase time, dwell time and B\"{u}tticker-Landauer time are not appropriate expressions for the actual transit time in a tunneling process. A quantum high-jumping model is presented to resolve the paradox that kinetic energy of the tunneling particle is negative and its momentum is imaginary.
[ { "version": "v1", "created": "Sun, 24 Jun 2007 10:51:13 GMT" } ]
2007-06-26T00:00:00
[ [ "Guowen", "Wang", "" ] ]
0706.3511
Vladimir Nazaikinskii
V. E. Nazaikinskii, A. Yu. Savin and B. Yu. Sternin
On elliptic differential operators with shifts
12 pages; v2: minor improvements made
null
null
null
math.OA math.AP math.KT
null
We give an index formula for elliptic differential operators whose coefficients include shifts forming an infinite group.
[ { "version": "v1", "created": "Mon, 25 Jun 2007 09:45:38 GMT" }, { "version": "v2", "created": "Thu, 26 Jul 2007 11:24:56 GMT" } ]
2007-07-26T00:00:00
[ [ "Nazaikinskii", "V. E.", "" ], [ "Savin", "A. Yu.", "" ], [ "Sternin", "B. Yu.", "" ] ]
0706.3512
Dariush Latifi
Dariush Latifi
Homogeneous geodesics in homogeneous Finsler spaces
null
null
10.1016/j.geomphys.2006.11.004
null
math.DG
null
In this paper, we study homogeneous geodesics in homogeneous Finsler spaces. We first give a simple criterion that characterizes geodesic vectors. We show that the geodesics on a Lie group, relative to a bi-invariant Finsler metric, are the cosets of the one-parameter subgroups. The existence of infinitely many homogeneous geodesics on compact semi-simple Lie group is established. We introduce the notion of naturally reductive homogeneous Finsler space. As a special case, we study homogeneous geodesics in homogeneous Randers spaces. Finally, we study some curvature properties of homogeneous geodesics. In particular, we prove that the S-curvature vanishes along the homogeneous geodesics.
[ { "version": "v1", "created": "Sun, 24 Jun 2007 11:10:11 GMT" } ]
2009-11-13T00:00:00
[ [ "Latifi", "Dariush", "" ] ]
0706.3513
Brian Tighe
B. P. Tighe and J. E. S. Socolar
Nonlinear elastic stress response in granular packings
15 pages, 12 figures; additional discussion added at several points in text
null
10.1103/PhysRevE.77.031303
null
cond-mat.soft
null
We study the nonlinear elastic response of a two-dimensional material to a localized boundary force, with the particular goal of understanding the differences observed between isotropic granular materials and those with hexagonal anisotropy. Corrections to the classical Boussinesq result for the stresses in an infinite half-space of a linear, isotropic material are developed in a power series in inverse distance from the point of application of the force. The breakdown of continuum theory on scales of order of the grain size is modeled with phenomenological parameters characterizing the strengths of induced multipoles near the point of application of the external force. We find that the data of Geng et al. on isotropic and hexagonal packings of photoelastic grains can be fit within this framework. Fitting the hexagonal packings requires a choice of elastic coefficients with hexagonal anisotropy stronger than that of a simple ball and spring model. For both the isotropic and hexagonal cases, induced dipole and quadrupole terms produce propagation of stresses away from the vertical direction over short distances. The scale over which such propagation occurs is significantly enhanced by the nonlinearities that generate hexagonal anisotropy.
[ { "version": "v1", "created": "Sun, 24 Jun 2007 11:22:59 GMT" }, { "version": "v2", "created": "Tue, 18 Dec 2007 15:08:12 GMT" } ]
2009-11-13T00:00:00
[ [ "Tighe", "B. P.", "" ], [ "Socolar", "J. E. S.", "" ] ]