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0706.0514
Johannes Walcher
Katrin Becker, Melanie Becker, Johannes Walcher
Runaway in the Landscape
26 pages
Phys.Rev.D76:106002,2007
10.1103/PhysRevD.76.106002
null
hep-th
null
We consider flux compactifications of type IIB string theory on the mirror of a rigid Calabi-Yau. In special cases, these models are dual to the type IIA flux vacua with runaway direction in flux space. We show that new weak coupling AdS solutions can be found for large complex structure, while Minkowski solutions with all moduli stabilized are confined to be at strong coupling. The existence of these solutions, as found in a previous work, is nevertheless guaranteed by a non-renormalization theorem of the type IIB flux superpotential. Based on our results, we are led to the conjecture that supersymmetric runaway directions in flux space are always accompanied by a spectrum of moduli masses reaching down to the AdS scale. This could be violated in a non-supersymmetric situation.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 15:01:02 GMT" } ]
2008-11-26T00:00:00
[ [ "Becker", "Katrin", "" ], [ "Becker", "Melanie", "" ], [ "Walcher", "Johannes", "" ] ]
0706.0515
Andrew Mshar
Andrew C. Mshar, Jane C. Charlton, Ryan S. Lynch, Chris Churchill, Tae-Sun Kim
The Kinematic Evolution of Strong MgII Absorbers
Accepted to the Astrophysical Journal
null
10.1086/520792
null
astro-ph
null
We consider the evolution of strong (W_r(2796) > 0.3A) MgII absorbers, most of which are closely related to luminous galaxies. Using 20 high resolution quasar spectra from the VLT/UVES public archive, we examine 33 strong MgII absorbers in the redshift range 0.3 < z < 2.5. We compare and supplement this sample with 23 strong MgII absorbers at 0.4 < z < 1.4 observed previously with HIRES/Keck. We find that neither equivalent width nor kinematic spread (the optical depth weighted second moment of velocity) of MgII2796 evolve. However, the kinematic spread is sensitive to the highest velocity component, and therefore not as sensitive to additional weak components at intermediate velocities relative to the profile center. The fraction of absorbing pixels within the full velocity range of the system does show a trend of decreasing with decreasing redshift. Most high redshift systems (14/20) exhibit absorption over the entire system velocity range, which differs from the result for low redshift systems (18/36) at the 95% level. This leads to a smaller number of separate subsystems for high redshift systems because weak absorping components tend to connect the stronger regions of absorption. We hypothesize that low redshift MgII profiles are more likely to represent well formed galaxies, many of which have kinematics consistent with a disk/halo structure. High redshift MgII profiles are more likely to show evidence of complex protogalactic structures, with multiple accretion or outflow events. Although these results are derived from measurements of gas kinematics, they are consistent with hierarchical galaxy formation evidenced by deep galaxy surveys.
[ { "version": "v1", "created": "Mon, 4 Jun 2007 20:00:20 GMT" } ]
2009-11-13T00:00:00
[ [ "Mshar", "Andrew C.", "" ], [ "Charlton", "Jane C.", "" ], [ "Lynch", "Ryan S.", "" ], [ "Churchill", "Chris", "" ], [ "Kim", "Tae-Sun", "" ] ]
0706.0516
Joshua Simon
Joshua D. Simon (Caltech) and Marla Geha (HIA/DAO)
The Kinematics of the Ultra-Faint Milky Way Satellites: Solving the Missing Satellite Problem
22 pages, 15 figures (12 in color), 6 tables, minor revisions in response to referee report. Accepted for publication in ApJ
Astrophys.J.670:313-331,2007
10.1086/521816
null
astro-ph
null
We present Keck/DEIMOS spectroscopy of stars in 8 of the newly discovered ultra-faint dwarf galaxies around the Milky Way. We measure the velocity dispersions of Canes Venatici I and II, Ursa Major I and II, Coma Berenices, Hercules, Leo IV and Leo T from the velocities of 18 - 214 stars in each galaxy and find dispersions ranging from 3.3 to 7.6 km/s. The 6 galaxies with absolute magnitudes M_V < -4 are highly dark matter-dominated, with mass-to-light ratios approaching 1000. The measured velocity dispersions are inversely correlated with their luminosities, indicating that a minimum mass for luminous galactic systems may not yet have been reached. We also measure the metallicities of the observed stars and find that the 6 brightest of the ultra-faint dwarfs extend the luminosity-metallicity relationship followed by brighter dwarfs by 2 orders of magnitude in luminosity; several of these objects have mean metallicities as low as [Fe/H] = -2.3 and therefore represent some of the most metal-poor known stellar systems. We detect metallicity spreads of up to 0.5 dex in several objects, suggesting multiple star formation epochs. Having established the masses of the ultra-faint dwarfs, we re-examine the missing satellite problem. After correcting for the sky coverage of the SDSS, we find that the ultra-faint dwarfs substantially alleviate the discrepancy between the predicted and observed numbers of satellites around the Milky Way, but there are still a factor of ~4 too few dwarf galaxies over a significant range of masses. We show that if galaxy formation in low-mass dark matter halos is strongly suppressed after reionization, the simulated circular velocity function of CDM subhalos can be brought into approximate agreement with the observed circular velocity function of Milky Way satellite galaxies. [slightly abridged]
[ { "version": "v1", "created": "Mon, 4 Jun 2007 20:23:02 GMT" }, { "version": "v2", "created": "Thu, 26 Jul 2007 04:58:37 GMT" } ]
2009-06-23T00:00:00
[ [ "Simon", "Joshua D.", "", "Caltech" ], [ "Geha", "Marla", "", "HIA/DAO" ] ]
0706.0517
Luis Anchordoqui
Luis A. Anchordoqui, John F. Beacom, Yousaf M. Butt, Haim Goldberg, Sergio Palomares-Ruiz, Thomas J. Weiler, and Justin Wesolowski
TeV gamma-rays from photo-disintegration/de-excitation of nuclei in Westerlund 2
To be published in Proceedings of the 30th International Cosmic Ray Conference, July 3 - 11, 2007, Merida, Yucatan, Mexico
null
null
null
astro-ph
null
TeV gamma-rays can result from the photo-de-excitation of PeV cosmic ray nuclei after their parents have undergone photo-disintegration in an environment of ultraviolet photons. This process is proposed as a candidate explanation of the recently discovered HESS source at the edge of Westerlund 2. The UV background is provided by Lyman-alpha emission within the rich O and B stellar environment. The HESS flux results if there is efficient acceleration at the source of lower energy nuclei. The requirement that the Lorentz-boosted ultraviolet photons reach the Giant Dipole resonant energy (~ 20 MeV) implies a strong suppression of the gamma-ray spectrum compared to an E_\gamma^{-2} behavior at energies below about 1 TeV. This suppression is not apparent in the lowest-energy Westerlund 2 datum, but will be probed by the upcoming GLAST mission.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 01:00:35 GMT" } ]
2007-06-06T00:00:00
[ [ "Anchordoqui", "Luis A.", "" ], [ "Beacom", "John F.", "" ], [ "Butt", "Yousaf M.", "" ], [ "Goldberg", "Haim", "" ], [ "Palomares-Ruiz", "Sergio", "" ], [ "Weiler", "Thomas J.", "" ], [ "Wesolowski", "Justin", "" ] ]
0706.0518
Andrew Wetzel
Andrew R. Wetzel, A.E. Schulz, Daniel E. Holz, Michael S. Warren
Close Pairs as Proxies for Galaxy Cluster Mergers
12 pages, 9 figures; Accepted for publication in ApJ. Significant additions to text and two figures changed. Added new findings on the universality of pair mergers and added analysis of the effect of FoF linking length on halo mergers
null
10.1086/589731
null
astro-ph
null
Galaxy cluster merger statistics are an important component in understanding the formation of large-scale structure. Unfortunately, it is difficult to study merger properties and evolution directly because the identification of cluster mergers in observations is problematic. We use large N-body simulations to study the statistical properties of massive halo mergers, specifically investigating the utility of close halo pairs as proxies for mergers. We examine the relationship between pairs and mergers for a wide range of merger timescales, halo masses, and redshifts (0<z<1). We also quantify the utility of pairs in measuring merger bias. While pairs at very small separations will reliably merge, these constitute a small fraction of the total merger population. Thus, pairs do not provide a reliable direct proxy to the total merger population. We do find an intriguing universality in the relation between close pairs and mergers, which in principle could allow for an estimate of the statistical merger rate from the pair fraction within a scaled separation, but including the effects of redshift space distortions strongly degrades this relation. We find similar behavior for galaxy-mass halos, making our results applicable to field galaxy mergers at high redshift. We investigate how the halo merger rate can be statistically described by the halo mass function via the merger kernel (coagulation), finding an interesting environmental dependence of merging: halos within the mass resolution of our simulations merge less efficiently in overdense environments. Specifically, halo pairs with separations less than a few Mpc/h are more likely to merge in underdense environments; at larger separations, pairs are more likely to merge in overdense environments.
[ { "version": "v1", "created": "Mon, 4 Jun 2007 20:01:15 GMT" }, { "version": "v2", "created": "Mon, 28 Apr 2008 20:30:19 GMT" } ]
2009-11-13T00:00:00
[ [ "Wetzel", "Andrew R.", "" ], [ "Schulz", "A. E.", "" ], [ "Holz", "Daniel E.", "" ], [ "Warren", "Michael S.", "" ] ]
0706.0519
Tommaso Treu
Tommaso Treu (1), Jong-Hak Woo (1), Matthew A. Malkan (2), Roger D. Blandford (3) ((1) UCSB; (2) UCLA; (3) Stanford)
Cosmic Evolution of Black Holes and Spheroids. II: Scaling Relations at z=0.36
17 pages, 10 figures; accepted for publication in the Astrophysical Journal
Astrophys.J.667:117-130,2007
10.1086/520633
null
astro-ph
null
We combine Hubble Space Telescope images of a sample of 20 Seyfert galaxies at z=0.36 with spectroscopic information from the Keck Telescope to determine the black hole mass - spheroid luminosity relation (M-L), the Fundamental Plane (FP) of the host galaxies and the M-sigma relation. Assuming pure luminosity evolution, we find that the host spheroids had smaller luminosity and stellar velocity dispersion than today for a fixed M. The offsets correspond to Delta log L_B,0=0.40+-0.11+-0.15 (Delta log M = 0.51+-0.14+-0.19) and Delta log sigma = 0.13+-0.03+-0.05 (Delta log M = 0.54+-0.12+-0.21), respectively for the M-L and M-sigma relation. A detailed analysis of known systematic errors and selection effects shows that they cannot account for the observed offset. The data are inconsistent with pure luminosity evolution and the existence of universal and tight scaling relations. To obey the three local scaling relations by z=0 the distant spheroids have to grow their stellar mass by approximately 60% (\Delta log M_sph=0.20+-0.14) in the next 4 billion years. The measured evolution can be expressed as M/ M_sph ~ (1+z)^{1.5+-1.0}. Based on the disturbed morphologies of a fraction of the sample (6/20) we suggest collisional mergers with disk-dominated systems as evolutionary mechanism.
[ { "version": "v1", "created": "Mon, 4 Jun 2007 20:06:41 GMT" } ]
2009-06-23T00:00:00
[ [ "Treu", "Tommaso", "", "UCSB;" ], [ "Woo", "Jong-Hak", "", "UCSB;" ], [ "Malkan", "Matthew A.", "", "UCLA;" ], [ "Blandford", "Roger D.", "", "Stanford" ] ]
0706.0520
Martin White
Charlie Conroy, Shirley Ho and Martin White
Constraints on the merging timescale of luminous red galaxies, or, where do all the halos go?
8 pages, 4 figures, final version, to appear in MNRAS
Mon.Not.Roy.Astron.Soc.379:1491-1497,2007
10.1111/j.1365-2966.2007.12033.x
null
astro-ph
null
In the LCDM cosmology dark matter halos grow primarily through the accretion of smaller halos. Much of the mass in a halo of 10^14Msun comes in through accretion of ~10^13Msun halos. If each such halo hosted one luminous red galaxy (LRG) then the accretion of so many halos is at odds with the observed number of LRGs in clusters unless these accreted LRGs merge or disrupt on relatively short timescales (~2Gyr). These timescales are consistent with classical dynamical friction arguments, and imply that 2-3 LRGs have merged or disrupted within each halo more massive than 10^14Msun by z=0. The total amount of stellar mass brought into these massive halos by z=0 is consistent with observations once the intracluster light (ICL) is included. If disrupted LRGs build up the ICL, then the hierarchical growth of massive halos implies that a substantial amount of ICL should also surround satellite LRGs, as suggested by recent observations of the Virgo cluster. Finally, we point out that these results are entirely consistent with a non-evolving clustering strength and halo occupation distribution, and note that observations of the latter in fact support the hypothesis that merging/disruption of massive galaxies does indeed take place at late times.
[ { "version": "v1", "created": "Mon, 4 Jun 2007 20:02:55 GMT" }, { "version": "v2", "created": "Tue, 3 Jul 2007 13:05:23 GMT" } ]
2009-06-23T00:00:00
[ [ "Conroy", "Charlie", "" ], [ "Ho", "Shirley", "" ], [ "White", "Martin", "" ] ]
0706.0521
Andrew Haynes
Andrew L. Haynes (1), Clare E. Parnell (1) ((1) University of St Andrews)
A trilinear method for finding null points in a 3D vector space
12 pages, 4 figures, submitted to Physics of Plasmas
null
10.1063/1.2756751
null
astro-ph
null
Null points are important locations in vector fields, such as a magnetic field. A new technique (a trilinear method for finding null points) is presented for finding null points over a large grid of points, such as those derived from a numerical experiment. The method was designed so that the null points found would agree with any fieldlines traced using the commonly used trilinear interpolation. It is split into three parts: reduction, analysis and positioning, which, when combined, provide an efficient means of locating null points to a user-defined sub-grid accuracy. We compare the results of the trilinear method with that of a method based on the Poincare index, and discuss the accuracy and limitations of both methods.
[ { "version": "v1", "created": "Mon, 4 Jun 2007 20:12:59 GMT" } ]
2009-11-13T00:00:00
[ [ "Haynes", "Andrew L.", "" ], [ "Parnell", "Clare E.", "" ] ]
0706.0522
Roman Lutchyn
R. M. Lutchyn and L. I. Glazman
Energy relaxation of superconducting charge qubit via Andreev processes
6 pages, 4 figures (accepted to Phys. Rev. B)
Phys. Rev. B 76, 104507 (2007)
10.1103/PhysRevB.76.104507
null
cond-mat.supr-con cond-mat.mes-hall
null
We study fundamental limitations on the energy relaxation rate of a superconducting charge qubit with a large-gap Cooper-pair box, $\Delta_b > \Delta_r$. At a sufficiently large mismatch between the gap energies in the box $\Delta_b$ and in the reservoir $\Delta_r$,"quasiparticle poisoning" becomes ineffective even in the presence of nonequilibrium quasiparticles in the reservoir. The qubit relaxation still may occur due to higher-order (Andreev) processes. In this paper we evaluate the qubit energy relaxation rate due to Andreev processes.
[ { "version": "v1", "created": "Mon, 4 Jun 2007 20:03:36 GMT" }, { "version": "v2", "created": "Tue, 21 Aug 2007 23:32:48 GMT" } ]
2007-09-12T00:00:00
[ [ "Lutchyn", "R. M.", "" ], [ "Glazman", "L. I.", "" ] ]
0706.0523
Ranjit Jhala
Ranjit Jhala, Kenneth L. McMillan
Interpolant-Based Transition Relation Approximation
Conference Version at CAV 2005. 17 Pages, 9 Figures
Logical Methods in Computer Science, Volume 3, Issue 4 (November 1, 2007) lmcs:1152
10.2168/LMCS-3(4:1)2007
null
cs.LO cs.PL cs.SE
null
In predicate abstraction, exact image computation is problematic, requiring in the worst case an exponential number of calls to a decision procedure. For this reason, software model checkers typically use a weak approximation of the image. This can result in a failure to prove a property, even given an adequate set of predicates. We present an interpolant-based method for strengthening the abstract transition relation in case of such failures. This approach guarantees convergence given an adequate set of predicates, without requiring an exact image computation. We show empirically that the method converges more rapidly than an earlier method based on counterexample analysis.
[ { "version": "v1", "created": "Mon, 4 Jun 2007 20:07:54 GMT" }, { "version": "v2", "created": "Thu, 1 Nov 2007 17:00:23 GMT" } ]
2015-07-01T00:00:00
[ [ "Jhala", "Ranjit", "" ], [ "McMillan", "Kenneth L.", "" ] ]
0706.0524
Sangwook Park
Sangwook Park (Penn State), Patrick O. Slane (CfA), John P. Hughes (Rutgers), Koji Mori (Miyazaki), David N. Burrows, and Gordon P. Garmire (Penn State)
Chandra X-Ray Study of Galactic Supernova Remnant G299.2-2.9
16 pages (AASTex emulator style), 3 Tables, 10 Figures (including 1 color: Figure 1), Accepted by ApJ
Astrophys.J.665:1173-1181,2007
10.1086/520105
null
astro-ph
null
We report on observations of the Galactic supernova remnant (SNR) G299.2$-$2.9 with the {\it Chandra X-Ray Observatory}. The high resolution images with {\it Chandra} resolve the X-ray-bright knots, shell, and diffuse emission extending beyond the bright shell. Interior to the X-ray shell is faint diffuse emission occupying the central regions of the SNR. Spatially-resolved spectroscopy indicates a large foreground absorption ($N_{\rm H}$ $\sim$ 3.5 $\times$ 10$^{21}$ cm$^{-2}$), which supports a relatively distant location ($d$ $\sim$ 5 kpc) for the SNR. The blast wave is encountering a highly inhomogeneous ambient medium with the densities ranging over more than an order of magnitude ($n_0$ $\sim$ 0.1 $-$ 4 cm$^{-3}$). Assuming the distance of $d$ $\sim$ 5 kpc, we derive a Sedov age of $\tau$ $\sim$ 4500 yr and an explosion energy of $E_0$ $\sim$ 1.6 $\times$ 10$^{50}$ ergs. The ambient density structure and the overall morphology suggest that G299.2$-$2.9 may be a limb-brightened partial shell extending to $\sim$7 pc radius surrounded by fainter emission extending beyond that to a radius of $\sim$9 pc. This suggests the SNR exploded in a region of space where there is a density gradient whose direction lies roughly along the line of sight. The faint central region shows strong line emission from heavy elements of Si and Fe, which is caused by the presence of the overabundant stellar ejecta there. We find no evidence for stellar ejecta enriched in light elements of O and Ne. The observed abundance structure of the metal-rich ejecta supports a Type Ia origin for G299.2$-$2.9.
[ { "version": "v1", "created": "Mon, 4 Jun 2007 20:08:07 GMT" } ]
2009-06-23T00:00:00
[ [ "Park", "Sangwook", "", "Penn State" ], [ "Slane", "Patrick O.", "", "CfA" ], [ "Hughes", "John P.", "", "Rutgers" ], [ "Mori", "Koji", "", "Miyazaki" ], [ "Burrows", "David N.", "", "Penn State" ], [ "Garmire", "Gordon P.", "", "Penn State" ] ]
0706.0525
Luk Arnaut PhD
L. R. Arnaut
Nonstationary random acoustic and electromagnetic fields as wave diffusion processes
54 pages, 8 figures, to appear in J. Phys. A: Math. Theor
null
10.1088/1751-8113/40/27/022
null
physics.class-ph physics.optics
null
We investigate the effects of relatively rapid variations of the boundaries of an overmoded cavity on the stochastic properties of its interior acoustic or electromagnetic field. For quasi-static variations, this field can be represented as an ideal incoherent and statistically homogeneous isotropic random scalar or vector field, respectively. A physical model is constructed showing that the field dynamics can be characterized as a generalized diffusion process. The Langevin--It\^{o} and Fokker--Planck equations are derived and their associated statistics and distributions for the complex analytic field, its magnitude and energy density are computed. The energy diffusion parameter is found to be proportional to the square of the ratio of the standard deviation of the source field to the characteristic time constant of the dynamic process, but is independent of the initial energy density, to first order. The energy drift vanishes in the asymptotic limit. The time-energy probability distribution is in general not separable, as a result of nonstationarity. A general solution of the Fokker--Planck equation is obtained in integral form, together with explicit closed-form solutions for several asymptotic cases. The findings extend known results on statistics and distributions of quasi-stationary ideal random fields (pure diffusions), which are retrieved as special cases.
[ { "version": "v1", "created": "Mon, 4 Jun 2007 20:09:33 GMT" } ]
2009-11-13T00:00:00
[ [ "Arnaut", "L. R.", "" ] ]
0706.0526
Geraldine Servant
Genevieve Belanger, Alexander Pukhov and Geraldine Servant
Dirac Neutrino Dark Matter
35 pages, 25 figures; v2: JCAP version; presentation and plots improved, results unchanged
JCAP 0801:009,2008
10.1088/1475-7516/2008/01/009
LAPTH-1184-07, CERN-PH-TH/2007-083
hep-ph astro-ph
null
We investigate the possibility that dark matter is made of heavy Dirac neutrinos with mass in the range [O(1) GeV- a few TeV] and with suppressed but non-zero coupling to the Standard Model Z as well as a coupling to an additional Z' gauge boson. The first part of this paper provides a model-independent analysis for the relic density and direct detection in terms of four main parameters: the mass, the couplings to the Z, to the Z' and to the Higgs. These WIMP candidates arise naturally as Kaluza-Klein states in extra-dimensional models with extended electroweak gauge group SU(2)_L* SU(2)_R * U(1). They can be stable because of Kaluza-Klein parity or of other discrete symmetries related to baryon number for instance, or even, in the low mass and low coupling limits, just because of a phase-space-suppressed decay width. An interesting aspect of warped models is that the extra Z' typically couples only to the third generation, thus avoiding the usual experimental constraints. In the second part of the paper, we illustrate the situation in details in a warped GUT model.
[ { "version": "v1", "created": "Mon, 4 Jun 2007 20:15:54 GMT" }, { "version": "v2", "created": "Sun, 16 Dec 2007 21:30:02 GMT" } ]
2009-01-06T00:00:00
[ [ "Belanger", "Genevieve", "" ], [ "Pukhov", "Alexander", "" ], [ "Servant", "Geraldine", "" ] ]
0706.0527
Christy Tremonti
Christy A. Tremonti (1), John Moustakas (2) and Aleksandar M. Diamond-Stanic (1) ((1) Steward Observatory, (2) New York University)
The Discovery of 1000 km/s Outflows in Massive Post-starburst Galaxies at z=0.6
5 pages, 2 figures, accepted to ApJ Letters
null
10.1086/520083
null
astro-ph
null
Numerical simulations suggest that active galactic nuclei (AGNs) play an important role in the formation of early-type galaxies by expelling gas and dust in powerful galactic winds and quenching star formation. However, the existence of AGN feedback capable of halting galaxy-wide star formation has yet to be observationally confirmed. To investigate this question, we have obtained spectra of 14 post-starburst galaxies at z~0.6 to search for evidence of galactic winds. In 10/14 galaxies we detect Mg II 2796,2803 absorption lines which are blueshifted by 490 - 2020 km/s with respect to the stars. The median blueshift is 1140 km/s. We hypothesize that the outflowing gas represents a fossil galactic wind launched near the peak of the galaxy's activity, a few 100 Myr ago. The velocities we measure are intermediate between those of luminous starbursts and broad absorption line quasars, which suggests that feedback from an AGN may have played a role in expelling cool gas and shutting down star formation.
[ { "version": "v1", "created": "Mon, 4 Jun 2007 21:36:25 GMT" } ]
2009-11-13T00:00:00
[ [ "Tremonti", "Christy A.", "", "Steward Observatory" ], [ "Moustakas", "John", "", "New York University" ], [ "Diamond-Stanic", "Aleksandar M.", "", "Steward Observatory" ] ]
0706.0528
Julien Laurat
J. Laurat, K. S. Choi, H. Deng, C. W. Chou, H. J. Kimble
Heralded Entanglement between Atomic Ensembles: Preparation, Decoherence, and Scaling
4 pages
Phys. Rev. Lett. 99, 180504 (2007)
10.1103/PhysRevLett.99.180504
null
quant-ph
null
Heralded entanglement between collective excitations in two atomic ensembles is probabilistically generated, stored, and converted to single photon fields. By way of the concurrence, quantitative characterizations are reported for the scaling behavior of entanglement with excitation probability and for the temporal dynamics of various correlations resulting in the decay of entanglement. A lower bound of the concurrence for the collective atomic state of 0.9\pm 0.3 is inferred. The decay of entanglement as a function of storage time is also observed, and related to the local dynamics.
[ { "version": "v1", "created": "Mon, 4 Jun 2007 20:24:21 GMT" }, { "version": "v2", "created": "Wed, 19 Sep 2007 19:27:53 GMT" } ]
2009-11-13T00:00:00
[ [ "Laurat", "J.", "" ], [ "Choi", "K. S.", "" ], [ "Deng", "H.", "" ], [ "Chou", "C. W.", "" ], [ "Kimble", "H. J.", "" ] ]
0706.0529
Yaroslaw Bazaliy
Ya. B. Bazaliy
Generation of microwave radiation in planar spin-transfer devices
null
Phys. Rev. B 76, 140402(R) (2007)
10.1103/PhysRevB.76.140402
null
cond-mat.mtrl-sci
null
Current induced precession states in spin-transfer devices are studied in the case of large easy plane anisotropy (present in most experimental setups). It is shown that the effective one-dimensional planar description provides a simple qualitative understanding of the emergence and evolution of such states. Switching boundaries are found analytically for the collinear device and the spin-flip transistor. The latter can generate microwave oscillations at zero external magnetic field without either special functional form of spin-transfer torque, or ``field-like'' terms, if Gilbert constant corresponds to the overdamped planar regime.
[ { "version": "v1", "created": "Mon, 4 Jun 2007 20:35:36 GMT" } ]
2007-10-30T00:00:00
[ [ "Bazaliy", "Ya. B.", "" ] ]
0706.0530
Giuseppe Galletta
G. Galletta, M. D'Alessandro, G. Bertoloni, G. Fanti, E. Dainese, M. Pelizzo, F. Ferri, D. Pavarin, C. Bettanini, G. Bianchini and S. Debei
LISA: Mars and the limits of life
4 pages, 3 figures. Mem. SAIt, in press
null
null
null
astro-ph
null
We describe the results of the first tests made on LISA, a simulator of planetary environments designed and built in Padua, dedicated to the study of the limit of bacterial life on the planet Mars. Tests on the cryogenic circuit, on the UV illumination and on bacterial coltures at room temperature that shall be used as references are described.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 14:34:37 GMT" } ]
2007-06-06T00:00:00
[ [ "Galletta", "G.", "" ], [ "D'Alessandro", "M.", "" ], [ "Bertoloni", "G.", "" ], [ "Fanti", "G.", "" ], [ "Dainese", "E.", "" ], [ "Pelizzo", "M.", "" ], [ "Ferri", "F.", "" ], [ "Pavarin", "D.", "" ], [ "Bettanini", "C.", "" ], [ "Bianchini", "G.", "" ], [ "Debei", "S.", "" ] ]
0706.0531
John Rognes
Nils A. Baas, Bjorn Ian Dundas, Birgit Richter and John Rognes
Ring completion of rig categories
There was a mathematical error in arXiv:0706.0531v2: the map T in the purported proof of Lemma 3.7(2) is not well defined. Version 4 has been edited for notational consistency
Journal f\"ur die reine und angewandte Mathematik 674 (2013) 43-80
10.1515/crelle.2012.024
null
math.KT math.AT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We offer a solution to the long-standing problem of group completing within the context of rig categories (also known as bimonoidal categories). Given a rig category R we construct a natural additive group completion R' that retains the multiplicative structure, hence has become a ring category. If we start with a commutative rig category R (also known as a symmetric bimonoidal category), the additive group completion R' will be a commutative ring category. In an accompanying paper we show how this can be used to prove the conjecture from [BDR] that the algebraic K-theory of the connective topological K-theory spectrum ku is equivalent to the algebraic K-theory of the rig category V of complex vector spaces.
[ { "version": "v1", "created": "Mon, 4 Jun 2007 20:51:05 GMT" }, { "version": "v2", "created": "Thu, 20 Dec 2007 15:03:14 GMT" }, { "version": "v3", "created": "Wed, 9 Sep 2009 16:33:32 GMT" }, { "version": "v4", "created": "Wed, 25 Aug 2010 13:48:33 GMT" } ]
2022-06-22T00:00:00
[ [ "Baas", "Nils A.", "" ], [ "Dundas", "Bjorn Ian", "" ], [ "Richter", "Birgit", "" ], [ "Rognes", "John", "" ] ]
0706.0532
Washington Chagas-Filho
W. Chagas-Filho
2T Physics, Scale Invariance and Topological Vector Fields
Accepted for publication in International Journal of Theoretical Physics
null
10.1007/s10773-007-9598-5
null
hep-th
null
We construct, in classical two-time physics, the necessary structure for the most general configuration space formulation of quantum mechanics containing gravity in d+2 dimensions. This structure is composed of a symmetric Riemannian metric tensor and of a vector field that defines a section of a flat U(1) bundle over space-time. This construction is possible because of the existence of a finite local scale invariance of the Hamiltonian and because two-time physics contains, at the classical level, a local generalization of the discrete duality symmetry between position and momentum that underlies the structure of quantum mechanics.
[ { "version": "v1", "created": "Mon, 4 Jun 2007 20:40:20 GMT" }, { "version": "v2", "created": "Thu, 16 Aug 2007 19:35:11 GMT" }, { "version": "v3", "created": "Thu, 22 Nov 2007 10:30:44 GMT" } ]
2009-11-13T00:00:00
[ [ "Chagas-Filho", "W.", "" ] ]
0706.0533
Ann-Cecilie Larsen
A.C. Larsen, M. Guttormsen, R. Chankova, T. Loennroth, S. Messelt, F. Ingebretsen, J. Rekstad, A. Schiller, S. Siem, N.U.H. Syed, and A. Voinov
Nuclear level densities and gamma-ray strength functions in 44,45Sc
21 pages, 13 figures. Published version
Phys.Rev.C76:044303,2007
10.1103/PhysRevC.76.044303
null
nucl-ex
null
The scandium isotopes 44,45Sc have been studied with the 45Sc(3He,alpha gamma)44Sc and 45Sc(3He,3He' gamma)45Sc reactions, respectively. The nuclear level densities and gamma-ray strength functions have been extracted using the Oslo method. The experimental level densities are compared to calculated level densities obtained from a microscopic model based on BCS quasiparticles within the Nilsson level scheme. This model also gives information about the parity distribution and the number of broken Cooper pairs as a function of excitation energy. The experimental gamma-ray strength functions are compared to theoretical models of the E1, M1, and E2 strength, and to data from (gamma,n) and (gamma,p) experiments. The strength functions show an enhancement at low gamma energies that cannot be explained by the present, standard models.
[ { "version": "v1", "created": "Mon, 4 Jun 2007 20:48:34 GMT" }, { "version": "v2", "created": "Mon, 20 Aug 2007 10:44:58 GMT" }, { "version": "v3", "created": "Tue, 22 Jan 2008 20:12:58 GMT" } ]
2008-11-26T00:00:00
[ [ "Larsen", "A. C.", "" ], [ "Guttormsen", "M.", "" ], [ "Chankova", "R.", "" ], [ "Loennroth", "T.", "" ], [ "Messelt", "S.", "" ], [ "Ingebretsen", "F.", "" ], [ "Rekstad", "J.", "" ], [ "Schiller", "A.", "" ], [ "Siem", "S.", "" ], [ "Syed", "N. U. H.", "" ], [ "Voinov", "A.", "" ] ]
0706.0534
Shuheng Zhou
Shuheng Zhou, John Lafferty, Larry Wasserman
Compressed Regression
59 pages, 5 figure, Submitted for review
IEEE Transactions on Information Theory, Volume 55, No.2, pp 846--866, 2009
null
null
stat.ML cs.IT math.IT
null
Recent research has studied the role of sparsity in high dimensional regression and signal reconstruction, establishing theoretical limits for recovering sparse models from sparse data. This line of work shows that $\ell_1$-regularized least squares regression can accurately estimate a sparse linear model from $n$ noisy examples in $p$ dimensions, even if $p$ is much larger than $n$. In this paper we study a variant of this problem where the original $n$ input variables are compressed by a random linear transformation to $m \ll n$ examples in $p$ dimensions, and establish conditions under which a sparse linear model can be successfully recovered from the compressed data. A primary motivation for this compression procedure is to anonymize the data and preserve privacy by revealing little information about the original data. We characterize the number of random projections that are required for $\ell_1$-regularized compressed regression to identify the nonzero coefficients in the true model with probability approaching one, a property called ``sparsistence.'' In addition, we show that $\ell_1$-regularized compressed regression asymptotically predicts as well as an oracle linear model, a property called ``persistence.'' Finally, we characterize the privacy properties of the compression procedure in information-theoretic terms, establishing upper bounds on the mutual information between the compressed and uncompressed data that decay to zero.
[ { "version": "v1", "created": "Mon, 4 Jun 2007 20:42:54 GMT" }, { "version": "v2", "created": "Fri, 11 Jan 2008 06:33:58 GMT" } ]
2012-01-11T00:00:00
[ [ "Zhou", "Shuheng", "" ], [ "Lafferty", "John", "" ], [ "Wasserman", "Larry", "" ] ]
0706.0535
Thayne Currie
Thayne Currie (1), Scott J. Kenyon (1), George Rieke (2), Zoltan Balog (2), and Benjamin C. Bromley (3) ((1) Harvard-Smithsonian Center for Astrophysics, (2) Steward Observatory/University of Arizona, (3) Dept. of Physics, University of Utah)
Terrestrial Zone Debris Disk Candidates in h and chi Persei
5 pages, 3 figures, Matched to published version, Astrophysical Journal Letters, in press: 2007, ApJL, 663, 105
Astrophys. J. Lett. 663 (2007) 105
10.1086/520509
null
astro-ph
null
We analyze 8 sources with strong mid-infrared excesses in the 13 Myr-old double cluster h and chi Persei. New optical spectra and broadband SEDs (0.36-8 mu_m) are consistent with cluster membership. We show that material with T ~ 300-400 K and Ld/Lstar ~ 10^-4-10^-3 produces the excesses in these sources. Optically-thick blackbody disk models - including those with large inner holes - do not match the observed SEDs. The SEDs of optically-thin debris disks produced from terrestrial planet formation calculations match the observations well. Thus, some h and chi Persei stars may have debris from terrestrial zone planet formation.
[ { "version": "v1", "created": "Mon, 4 Jun 2007 20:50:15 GMT" }, { "version": "v2", "created": "Thu, 28 Jun 2007 19:55:52 GMT" } ]
2007-06-28T00:00:00
[ [ "Currie", "Thayne", "" ], [ "Kenyon", "Scott J.", "" ], [ "Rieke", "George", "" ], [ "Balog", "Zoltan", "" ], [ "Bromley", "Benjamin C.", "" ] ]
0706.0536
David Rainwater
Johan Alwall, Tilman Plehn and Dave Rainwater
Same-Sign Charginos and Majorana Neutralinos at the LHC
14 pages, 2 tables, 7 embedded figs., to appear in PRD; typos corrected, references added and updated
Phys.Rev.D76:055006,2007
10.1103/PhysRevD.76.055006
null
hep-ph
null
We demonstrate the possibility of studying weakly interacting new particles in weak boson fusion, using the example of supersymmetric same-sign charginos. This signal could establish the existence of Majorana neutralinos and give access to their electroweak couplings. It can be observed over (supersymmetric) QCD backgrounds provided the charginos are light and not too close to the squark mass. We finally show how same-sign fermion production can be distinguished from same-sign scalars or vectors arising in other models of new physics.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 16:09:10 GMT" }, { "version": "v2", "created": "Thu, 6 Sep 2007 16:57:11 GMT" } ]
2008-11-26T00:00:00
[ [ "Alwall", "Johan", "" ], [ "Plehn", "Tilman", "" ], [ "Rainwater", "Dave", "" ] ]
0706.0537
Scott Edward Pratt
Selemon Bekele, Fabio Braghin, Zbigniew Chajecki, Paul Chung, John G. Cramer, Tamas Csorgo, Hans Eggers, Sean Gavin, Frederique Grassi, Yogiro Hama, Adam Kisiel, Che-Ming Ko, Tomoi Koide, Gastao Krein, Roy Lacey, Richard Lednicky, Michael A. Lisa, Wesley Metzger, Dariusz Miskowiec, Kenji Morita, Sandra S. Padula, Scott Pratt, Wei-Liang Qian, Vladislav Simak, Yuri Sinyukov, Michal Sumbera, Bernardo M. Tavares, Giuseppe Verde, Detlef Zschiesche
Status and Promise of Particle Interferometry in Heavy-Ion Collisions
HBT Community White Paper drafted during WPCF 2006 in Sao Paulo, Brazil (typos corrected)
null
10.1590/S0103-97332007000600002
null
nucl-ex
null
After five years of running at RHIC, and on the eve of the LHC heavy-ion program, we highlight the status of femtoscopic measurements. We emphasize the role interferometry plays in addressing fundamental questions about the state of matter created in such collisions, and present an enumerated list of measurements, analyses and calculations that are needed to advance the field in the coming years.
[ { "version": "v1", "created": "Mon, 4 Jun 2007 20:58:37 GMT" }, { "version": "v2", "created": "Wed, 6 Jun 2007 18:31:20 GMT" } ]
2015-05-13T00:00:00
[ [ "Bekele", "Selemon", "" ], [ "Braghin", "Fabio", "" ], [ "Chajecki", "Zbigniew", "" ], [ "Chung", "Paul", "" ], [ "Cramer", "John G.", "" ], [ "Csorgo", "Tamas", "" ], [ "Eggers", "Hans", "" ], [ "Gavin", "Sean", "" ], [ "Grassi", "Frederique", "" ], [ "Hama", "Yogiro", "" ], [ "Kisiel", "Adam", "" ], [ "Ko", "Che-Ming", "" ], [ "Koide", "Tomoi", "" ], [ "Krein", "Gastao", "" ], [ "Lacey", "Roy", "" ], [ "Lednicky", "Richard", "" ], [ "Lisa", "Michael A.", "" ], [ "Metzger", "Wesley", "" ], [ "Miskowiec", "Dariusz", "" ], [ "Morita", "Kenji", "" ], [ "Padula", "Sandra S.", "" ], [ "Pratt", "Scott", "" ], [ "Qian", "Wei-Liang", "" ], [ "Simak", "Vladislav", "" ], [ "Sinyukov", "Yuri", "" ], [ "Sumbera", "Michal", "" ], [ "Tavares", "Bernardo M.", "" ], [ "Verde", "Giuseppe", "" ], [ "Zschiesche", "Detlef", "" ] ]
0706.0538
Maury Goodman
Philip Schreiner and Maury Goodman (for the MINOS collaboration)
Interpretation of the atmospheric muon charge ratio in MINOS
Contribution to the 30th International Cosmic Ray Conference, Merida Mexico 2007
null
null
null
hep-ex astro-ph
null
MINOS is the first large magnetic detector deep underground and is the first to measure the muon charge ratio with high statistics in the region near 1 TeV.\cite{bib:adamson} An approximate formula for the muon charge ratio can be expressed in terms of $\epsilon_\pi$ = 115 GeV, $\epsilon_K$ = 850 GeV and $\ec$. The implications for K production in the atmosphere will be discussed.
[ { "version": "v1", "created": "Mon, 4 Jun 2007 21:05:01 GMT" } ]
2007-06-07T00:00:00
[ [ "Schreiner", "Philip", "", "for the MINOS collaboration" ], [ "Goodman", "Maury", "", "for the MINOS collaboration" ] ]
0706.0539
Maury Goodman
Maury Goodman (for the MINOS collaboration)
The Maximum Detectable Momentum for cosmic ray muons in the MINOS far detector
Contribution to the 30th International Cosmic Ray Conference, Merida Mexico 2007
null
null
null
physics.ins-det
null
A magnetic detector such as MINOS which is measuring the sign of muons has to deal with issues of bending, which depend on the magnetic field configuration, and multiple scattering, which depends on the amount of material which is traversed. Above some momentum which depends on these factors, the momentum cannot be resolved. Issues related to measurement of the muon charge ratio in MINOS are discussed.
[ { "version": "v1", "created": "Mon, 4 Jun 2007 21:07:48 GMT" } ]
2007-06-06T00:00:00
[ [ "Goodman", "Maury", "", "for the MINOS collaboration" ] ]
0706.0540
Peter Fierlinger
P. Fierlinger, R. DeVoe, B. Flatt, G. Gratta, M. Green, S. Kolkowitz, F. Leport, M. Montero Diez, R. Neilson, K. O'Sullivan, A. Pocar, J. Wodin
A microfabricated sensor for thin dielectric layers
null
null
10.1063/1.2906402
null
physics.gen-ph physics.atom-ph
null
We describe a sensor for the measurement of thin dielectric layers capable of operation in a variety of environments. The sensor is obtained by microfabricating a capacitor with interleaved aluminum fingers, exposed to the dielectric to be measured. In particular, the device can measure thin layers of solid frozen from a liquid or gaseous medium. Sensitivity to single atomic layers is achievable in many configurations and, by utilizing fast, high sensitivity capacitance read out in a feedback system onto environmental parameters, coatings of few layers can be dynamically maintained. We discuss the design, read out and calibration of several versions of the device optimized in different ways. We specifically dwell on the case in which atomically thin solid xenon layers are grown and stabilized, in cryogenic conditions, from a liquid xenon bath.
[ { "version": "v1", "created": "Mon, 4 Jun 2007 21:20:00 GMT" }, { "version": "v2", "created": "Mon, 24 Mar 2008 20:50:12 GMT" } ]
2009-11-13T00:00:00
[ [ "Fierlinger", "P.", "" ], [ "DeVoe", "R.", "" ], [ "Flatt", "B.", "" ], [ "Gratta", "G.", "" ], [ "Green", "M.", "" ], [ "Kolkowitz", "S.", "" ], [ "Leport", "F.", "" ], [ "Diez", "M. Montero", "" ], [ "Neilson", "R.", "" ], [ "O'Sullivan", "K.", "" ], [ "Pocar", "A.", "" ], [ "Wodin", "J.", "" ] ]
0706.0541
Ronald van Luijk
Adam Logan, Ronald van Luijk
Nontrivial elements of Sha explained through K3 surfaces
37 pages
null
null
null
math.AG math.NT
null
In this paper we present a new method to show that a principal homogeneous space of the Jacobian of a curve of genus two is nontrivial. The idea is to exhibit a Brauer-Manin obstruction to the existence of rational points on a quotient of this principal homogeneous space. In an explicit example we apply the method to show that a specific curve has infinitely many quadratic twists whose Jacobians have nontrivial Tate-Shafarevich group.
[ { "version": "v1", "created": "Mon, 4 Jun 2007 21:20:04 GMT" } ]
2007-06-06T00:00:00
[ [ "Logan", "Adam", "" ], [ "van Luijk", "Ronald", "" ] ]
0706.0542
Russel J. White
R. J. White (1), J. M. Gabor (2), L. A. Hillenbrand (3) ((1) University of Alabama in Huntsville, (2) Universtiy of Arizona, (3) Caltech)
High-Dispersion Optical Spectra of Nearby Stars Younger Than The Sun
1 electronic table; published in the Astronomical Journal
Astron.J.133:2524,2007
10.1086/514336
null
astro-ph
null
We present high-dispersion (R~16,000) optical (3900-8700 A) spectra of 390 stars obtained with the Palomar 60 inch telescope. The majority of stars observed are part of the Spitzer Legacy Science Program "The Formation and Evolution of Planetary Systems." Through detailed analysis we determine stellar properties for this sample, including radial and rotational velocities, Li I 6708 and Ha equivalent widths, the chromospheric activity index R'_HK, and temperature- and gravity-sensitive line ratios. Several spectroscopic binaries are also identified. From our tabulations, we illustrate basic age- and rotation-related correlations among measured indices. One novel result is that Ca II chromospheric emission appears to saturate at vsini values above ~30 km/s, similar to the well established saturation of X-rays that originate in the spatially separate coronal regions.
[ { "version": "v1", "created": "Mon, 4 Jun 2007 20:44:48 GMT" } ]
2009-06-23T00:00:00
[ [ "White", "R. J.", "" ], [ "Gabor", "J. M.", "" ], [ "Hillenbrand", "L. A.", "" ] ]
0706.0543
Nate Bastian
N. Bastian (1), I. Konstantopoulos (1), L.J. Smith (1,2), G. Trancho (3,4), M. S. Westmoquette (1), J.S. Gallagher III (5) ((1) University College London, (2) STScI, (3) Gemini Observatory, (4) Universidad de La Laguna, (5) UW-Madison)
A detailed study of the enigmatic cluster M82F
12 pages, 7 figures, accepted MNRAS
Mon.Not.Roy.Astron.Soc.379:1333-1342,2007
10.1111/j.1365-2966.2007.12061.x
null
astro-ph
null
We present a detailed study of the stellar cluster M82F, using multi-band high resolution HST imaging and deep ground based optical slit and integral field spectroscopy. Using the imaging we create colour maps of the cluster and surrounding region in order to search for substructure. We find a large amount of substructure, which we interpret as the result of differential extinction across the projected face of the cluster. With this interpretation, we are able to construct a spatially resolved extinction map across the cluster which is used to derive the intrinsic flux distribution. Fitting cluster profiles (King and EFF) to the intrinsic images we find that the cluster is 15-30% larger than previous estimates, and that no strong evidence of mass segregation in this cluster exists. Using the optical spectra, we find that the age of M82F is 60-80 Myr and from its velocity conclude that the cluster is not physically associated with a large HII region that it is projected upon, both in agreement with previous studies. The reconstructed integral field maps show that that majority of the line emission comes from a nearby HII region. The spatial dependence of the line widths (implying the presence of multiple components)measured corresponds to the extinction map derived from photometry, indicating that the gas/dust clouds responsible for the extinction are also partially ionised. Even with the wealth of observations presented here, we do not find a conclusive solution to the problem of the high light-to-mass ratio previously found for this cluster and its possible top-heavy stellar IMF.
[ { "version": "v1", "created": "Mon, 4 Jun 2007 21:28:54 GMT" } ]
2009-06-23T00:00:00
[ [ "Bastian", "N.", "" ], [ "Konstantopoulos", "I.", "" ], [ "Smith", "L. J.", "" ], [ "Trancho", "G.", "" ], [ "Westmoquette", "M. S.", "" ], [ "Gallagher", "J. S.", "III" ] ]
0706.0544
Jason Metcalfe
Jeremy Marzuola, Jason Metcalfe, and Daniel Tataru
Strichartz estimates and local smoothing estimates for asymptotically flat Schr\"odinger equations
48 pages
null
null
null
math.AP
null
In this article we study global-in-time Strichartz estimates for the Schr\"odinger evolution corresponding to long-range perturbations of the Euclidean Laplacian. This is a natural continuation of a recent article of the third author, where it is proved that local smoothing estimates imply Strichartz estimates. In the aforementioned paper, the third author proved the local smoothing estimates for small perturbations of the Laplacian. Here we consider the case of large perturbations in three increasingly favorable scenarios: (i) without non-trapping assumptions we prove estimates outside a compact set modulo a lower order spatially localized error term, (ii) with non-trapping assumptions we prove global estimates modulo a lower order spatially localized error term, and (iii) for time independent operators with no resonance or eigenvalue at the bottom of the spectrum we prove global estimates for the projection onto the continuous spectrum.
[ { "version": "v1", "created": "Mon, 4 Jun 2007 21:31:12 GMT" } ]
2007-06-06T00:00:00
[ [ "Marzuola", "Jeremy", "" ], [ "Metcalfe", "Jason", "" ], [ "Tataru", "Daniel", "" ] ]
0706.0545
Assaf Naor
James R. Lee, Assaf Naor, Yuval Peres
Trees and Markov convexity
null
null
null
null
math.MG math.FA
null
We show that an infinite weighted tree admits a bi-Lipschitz embedding into Hilbert space if and only if it does not contain arbitrarily large complete binary trees with uniformly bounded distortion. We also introduce a new metric invariant called Markov convexity, and show how it can be used to compute the Euclidean distortion of any metric tree up to universal factors.
[ { "version": "v1", "created": "Mon, 4 Jun 2007 21:45:35 GMT" } ]
2007-06-06T00:00:00
[ [ "Lee", "James R.", "" ], [ "Naor", "Assaf", "" ], [ "Peres", "Yuval", "" ] ]
0706.0546
Ribamar Reis
Emille E. O. Ishida, Ribamar R. R. Reis, Alan V. Toribio and Ioav Waga
When did cosmic acceleration start? How fast was the transition?
7 pages, 3 figures. Replaced to match the published version
Astropart.Phys.28:547-552,2008
10.1016/j.astropartphys.2007.10.004
null
astro-ph
null
Cosmic acceleration is investigated through a kink-like expression for the deceleration parameter (q). The new parametrization depends on the initial (q_i) and final (q_f) values of q, on the redshift of the transition from deceleration to acceleration (z_{t}) and the width of such transition (\tau). We show that although supernovae (SN) observations (Gold182 and SNLS data samples) indicate, at high confidence, that a transition occurred in the past (z_{t}>0) they do not, by themselves, impose strong constraints on the maximum value of z_{t}. However, when we combine SN with the measurements of the ratio between the comoving distance to the last scattering surface and the SDSS+2dfGRS BAO distance scale (S_{k}/D_{v}) we obtain, at 95.4% confidence level, z_{t}=0.84+{0.17}-{0.13} and \tau =0.51-{0.17}+{0.23} for (S_{k}/D_{v}+Gold182), and z_{t}=0.88-{0.10}+{0.12} and \tau =0.35-{0.10}+{0.12} for (S_{k}/D_{v} + SNLS), assuming q_i=0.5 and q_f=-1. We also analyze the general case, q_f\in(-\infty,0) finding the constraints that the combined tests (S_{k}/D_{v} + SNLS) impose on the present value of the deceleration parameter (q_0).
[ { "version": "v1", "created": "Mon, 4 Jun 2007 21:43:07 GMT" }, { "version": "v2", "created": "Wed, 6 Jun 2007 14:22:35 GMT" }, { "version": "v3", "created": "Fri, 15 Jun 2007 21:11:15 GMT" }, { "version": "v4", "created": "Fri, 3 Aug 2007 19:33:38 GMT" }, { "version": "v5", "created": "Thu, 27 Dec 2007 12:20:40 GMT" } ]
2009-06-23T00:00:00
[ [ "Ishida", "Emille E. O.", "" ], [ "Reis", "Ribamar R. R.", "" ], [ "Toribio", "Alan V.", "" ], [ "Waga", "Ioav", "" ] ]
0706.0547
Rodger Thompson Prof.
Rodger I. Thompson, Daniel Eisenstein, Xiaohui Fan, Marcia Rieke and Robert C. Kennicutt
Evidence for a Z < 8 Origin of the Source Subtracted Near Infrared Background
Accepted for publication in the Astrophysical Journal
Astrophys.J.666:658-662,2007
10.1086/520634
null
astro-ph
null
This letter extends our previous fluctuation analysis of the near infrared background at 1.6 microns to the 1.1 micron (F110W) image of the Hubble Ultra Deep field. When all detectable sources are removed the ratio of fluctuation power in the two images is consistent with the ratio expected for faint, z<8, sources, and is inconsistent with the expected ratio for galaxies with z>8. We also use numerically redshifted model galaxy spectral energy distributions for 50 and 10 million year old galaxies to predict the expected fluctuation power at 3.6 microns and 4.5 microns to compare with recent Spitzer observations. The predicted fluctuation power for galaxies at z = 0-12 matches the observed Spitzer fluctuation power while the predicted power for z>13 galaxies is much higher than the observed values. As was found in the 1.6 micron (F160W) analysis the fluctuation power in the source subtracted F110W image is two orders of magnitude below the power in the image with all sources present. This leads to the conclusion that the 0.8--1.8 micron near infrared background is due to resolved galaxies in the redshift range z<8, with the majority of power in the redshift range of 0.5--1.5.
[ { "version": "v1", "created": "Mon, 4 Jun 2007 21:47:18 GMT" } ]
2009-06-23T00:00:00
[ [ "Thompson", "Rodger I.", "" ], [ "Eisenstein", "Daniel", "" ], [ "Fan", "Xiaohui", "" ], [ "Rieke", "Marcia", "" ], [ "Kennicutt", "Robert C.", "" ] ]
0706.0548
Vladimir Nikiforov
Vladimir Nikiforov
More spectral bounds on the clique and independence numbers
This paper has been withdrawn by the author due to a crucial mistake
null
null
null
math.CO
null
We give some new bounds for the clique and independence numbers of a graph in terms of its eigenvalues.
[ { "version": "v1", "created": "Mon, 4 Jun 2007 22:00:02 GMT" }, { "version": "v2", "created": "Sun, 29 Jan 2017 17:03:11 GMT" } ]
2017-01-31T00:00:00
[ [ "Nikiforov", "Vladimir", "" ] ]
0706.0549
David Joyner
David Joyner
A primer on computational group homology and cohomology
40+ pages. To appear in conference for the 60th birthday of Tont Gaglione
null
null
null
math.GR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
These are expanded lecture notes of a series of expository talks surveying basic aspects of group cohomology and homology. They were written for someone who has had a first course in graduate algebra but no background in cohomology. You should know the definition of a (left) module over a (non-commutative) ring, what $\zzz[G]$ is (where $G$ is a group written multiplicatively and $\zzz$ denotes the integers), and some ring theory and group theory. However, an attempt has been made to (a) keep the presentation as simple as possible, (b) either provide an explicit reference of proof of everything. Several computer algebra packages are used to illustrate the computations, though for various reasons we have focused on the free, open source packages such as GAP and SAGE.
[ { "version": "v1", "created": "Mon, 4 Jun 2007 22:02:16 GMT" }, { "version": "v2", "created": "Wed, 10 Jun 2009 11:54:39 GMT" } ]
2009-06-10T00:00:00
[ [ "Joyner", "David", "" ] ]
0706.0550
Javier Parcet
Marius Junge, Javier Parcet
Operator space Lp embedding theory I
This is the most accessible part of our paper Operator space embedding of Lq into Lp, 28 pages. 28 pages
null
null
null
math.OA math.PR
null
Given any $1 < q \le 2$, we use new free probability techniques to construct a completely isomorphic embedding of $\ell_q$ (equipped with its natural operator space structure) into the predual of a sufficiently large QWEP von Neumann algebra.
[ { "version": "v1", "created": "Mon, 4 Jun 2007 22:02:32 GMT" } ]
2007-06-06T00:00:00
[ [ "Junge", "Marius", "" ], [ "Parcet", "Javier", "" ] ]
0706.0551
Miguel Pi\~nar
Juan J. Moreno-Balcazar, Teresa E. Perez, Miguel A. Pinar
A generating function for non-standard orthogonal polynomials involving differences: the Meixner case
14 pages
null
null
null
math.CA
null
In this paper we deal with a family of non--standard polynomials orthogonal with respect to an inner product involving differences. This type of inner product is the so--called $\Delta$--Sobolev inner product. Concretely, we consider the case in which both measures appearing in the inner product correspond to the Pascal distribution (the orthogonal polynomials associated to this distribution are known as Meixner polynomials). The aim of this work is to obtain a generating function for the $\Delta$--Meixner--Sobolev orthogonal polynomials and, by using a limit process, recover a generating function for Laguerre--Sobolev orthogonal polynomials.
[ { "version": "v1", "created": "Mon, 4 Jun 2007 22:27:23 GMT" } ]
2007-06-06T00:00:00
[ [ "Moreno-Balcazar", "Juan J.", "" ], [ "Perez", "Teresa E.", "" ], [ "Pinar", "Miguel A.", "" ] ]
0706.0552
Robert Finkel
Robert W. Finkel
Molecular Energy Relations From Chemical Kinetics
4 pages
null
null
null
physics.chem-ph
null
Since molecular energy transformations are responsible for chemical reaction rates at the most fundamental level, chemical kinetics should provide some information about molecular energies. This is the premise and objective of this note. We describe a Hamiltonian formulation for kinetic rate equations where the concentrations are the generalized coordinates and the conjugate momenta are simply related to individual average molecular energies. Simple examples are presented and the resulting energy relations naturally include non-equilibrium reactions. An analysis predicts the reasonable outcome that thermal agitation of a composite molecule increases its rate of dissociation.
[ { "version": "v1", "created": "Mon, 4 Jun 2007 22:42:47 GMT" }, { "version": "v2", "created": "Wed, 6 Jun 2007 23:07:02 GMT" } ]
2007-06-07T00:00:00
[ [ "Finkel", "Robert W.", "" ] ]
0706.0553
Heidi Fearn Prof
Heidi Fearn
Can Light Signals Travel Faster than c in Nontrivial Vacuua in Flat space-time? Relativistic Causality II
12 pages no figures
LaserPhys.17:695-699,2007
10.1134/S1054660X07050155
null
quant-ph
null
In this paper we show that the Scharnhorst effect (Vacuum with boundaries or a Casimir type vacuum) cannot be used to generate signals showing measurable faster-than-c speeds. Furthermore, we aim to show that the Scharnhorst effect would violate special relativity, by allowing for a variable speed of light in vacuum, unless one can specify a small invariant length scale. This invariant length scale would be agreed upon by all inertial observers. We hypothesize the approximate scale of the invariant length.
[ { "version": "v1", "created": "Mon, 4 Jun 2007 22:56:02 GMT" } ]
2008-11-26T00:00:00
[ [ "Fearn", "Heidi", "" ] ]
0706.0554
Maury Goodman
Juergen Reichenbacher
Differences in $dE/dX$ for $\mu+$ and $\mu-$ and its Effect on the Underground Charge Ratio
Contribution to the 30th International Cosmic Ray Conference, Merida Mexico, 2007 (v2: appending DOE contract number)
null
null
null
hep-ph
null
Theoretical calculations predict a small fractional difference in energy loss for $\mu^+$ and $\mu^-$ of the order of $0.15 %$ at high energies. This is predominantly due to a $z^3$ term in an extended ionization $dE/dX$ relation, in analogy to the Barkas effect at low energies around the Bethe-Bloch maximum. The atmospheric muon energy spectrum is steeply falling off with approximately $E^{-3.7}$ and thus the small difference in $dE/dX$ between $\mu^+$ and $\mu^-$ at high energies results in an amplified charge asymmetry of about $0.6 %$ many thousand meters water equivalent deep underground.
[ { "version": "v1", "created": "Mon, 4 Jun 2007 23:00:50 GMT" }, { "version": "v2", "created": "Fri, 22 Jun 2007 03:44:58 GMT" } ]
2007-06-22T00:00:00
[ [ "Reichenbacher", "Juergen", "" ] ]
0706.0555
Rajendra Zope
Rajendra R. Zope, Tunna Baruah, and Mark R. Pederson (UTEP and NRL)
Polarizabilities of Intermediate Sized Lithium Clusters From Density-Functional Theory
JCMSE style, 4 figures
null
null
null
cond-mat.mtrl-sci physics.atm-clus
null
We present a detailed investigation of static dipole polarizability of lithium clusters containing up to 22 atoms. We first build a database of lithium clusters by optimizing several candidate structures for the ground state geometry for each size. The full polarizability tensor is determined for about 5-6 isomers of each cluster size using the finite-field method. All calculations are performed using large Gaussian basis sets, and within the generalized gradient approximation to the density functional theory, as implemented in the NRLMOL suite of codes. The average polarizability per atom varies from 11 to 9 Angstrom^3, within the 8-22 size range and show smoother decrease with increase in cluster size than the experimental values. While the average polarizability exhibits a relatively weak dependence on cluster conformation, significant changes in the degree of anisotropy of the polarizability tensor are observed. Interestingly, in addition to the expected even odd (0 and 1 $\mu_B$) magnetic states, our results show several cases where clusters with an odd number of Li atoms exhibit elevated spin states (e.g. 3 $\mu_B$).
[ { "version": "v1", "created": "Mon, 4 Jun 2007 23:07:30 GMT" }, { "version": "v2", "created": "Mon, 12 Nov 2007 22:32:45 GMT" } ]
2007-11-13T00:00:00
[ [ "Zope", "Rajendra R.", "", "UTEP and NRL" ], [ "Baruah", "Tunna", "", "UTEP and NRL" ], [ "Pederson", "Mark R.", "", "UTEP and NRL" ] ]
0706.0556
Matthew Hastings
M. B. Hastings
Random Unitaries Give Quantum Expanders
14 pages, 1 figure
Phys. Rev. A 76, 032315 (2007).
10.1103/PhysRevA.76.032315
null
quant-ph cond-mat.str-el
null
We show that randomly choosing the matrices in a completely positive map from the unitary group gives a quantum expander. We consider Hermitian and non-Hermitian cases, and we provide asymptotically tight bounds in the Hermitian case on the typical value of the second largest eigenvalue. The key idea is the use of Schwinger-Dyson equations from lattice gauge theory to efficiently compute averages over the unitary group.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 17:13:35 GMT" } ]
2009-11-13T00:00:00
[ [ "Hastings", "M. B.", "" ] ]
0706.0557
Matja\v{z} \v{Z}eljko
Du\v{s}an Repov\v{s}, Witold Rosicki, Andreas Zastrow, Matja\v{z} \v{Z}eljko
Embeddability of multiple cones
Some minor corrections were made
Topol. Appl. 155:11 (2008), 1201-1206.
10.1016/j.topol.2008.02.007
null
math.GT
null
The main result of this paper is that if $X$ is a Peano continuum such that its $n$-th cone $C^n(X)$ embeds into $\RR^{n+2}$ then $X$ embeds into $S^2$. This solves a problem proposed by W. Rosicki.
[ { "version": "v1", "created": "Mon, 4 Jun 2007 23:36:17 GMT" }, { "version": "v2", "created": "Sat, 29 Mar 2008 09:11:12 GMT" } ]
2008-05-14T00:00:00
[ [ "Repovš", "Dušan", "" ], [ "Rosicki", "Witold", "" ], [ "Zastrow", "Andreas", "" ], [ "Željko", "Matjaž", "" ] ]
0706.0558
Sumner Starrfield
S. Starrfield, C. Iliadis, W. R. Hix, F. X. Timmes, W. M. Sparks
The Effects of Changes in Reaction Rates on Simulations of Nova Explosions
9 pages, 2 figures, as it appeared in the Proceedings of the Tours 2006 Symposium on Nuclear Physics
AIP Conf.Proc.891:364-372,2007
10.1063/1.2713538
null
astro-ph
null
Classical novae participate in the cycle of Galactic chemical evolution in which grains and metal enriched gas in their ejecta, supplementing those of supernovae, AGB stars, and Wolf-Rayet stars, are a source of heavy elements for the ISM. Once in the diffuse gas, this material is mixed with the existing gases and then incorporated into young stars and planetary systems during star formation. Infrared observations have confirmed the presence of carbon, SiC, hydrocarbons, and oxygen-rich silicate grains in nova ejecta, suggesting that some fraction of the pre-solar grains identified in meteoritic material come from novae. The mean mass returned by a nova outburst to the ISM probably exceeds ~2 x 10^{-4} Solar Masses. Using the observed nova rate of 35 per year in our Galaxy, it follows that novae introduce more than ~7 x 10^{-3} Solar Masses per year of processed matter into the ISM. Novae are expected to be the major source of 15N and 17O in the Galaxy and to contribute to the abundances of other isotopes in this atomic mass range. Here, we report on how changes in the nuclear reaction rates affect the properties of the outburst and alter the predictions of the contributions of novae to Galactic chemical evolution. We also discuss the necessity of including the pep reaction in studies of thermonuclear runaways in material accreted onto white dwarfs.
[ { "version": "v1", "created": "Mon, 4 Jun 2007 23:38:20 GMT" } ]
2009-06-23T00:00:00
[ [ "Starrfield", "S.", "" ], [ "Iliadis", "C.", "" ], [ "Hix", "W. R.", "" ], [ "Timmes", "F. X.", "" ], [ "Sparks", "W. M.", "" ] ]
0706.0559
Gavin E. Crooks
Gavin E. Crooks
Measuring thermodynamic length
4 pages; Typos corrected
Phys. Rev. Lett. 99 100602 (2007)
10.1103/PhysRevLett.99.100602
LBNL-62740
cond-mat.stat-mech
null
Thermodynamic length is a metric distance between equilibrium thermodynamic states. Among other interesting properties, this metric asymptotically bounds the dissipation induced by a finite time transformation of a thermodynamic system. It is also connected to the Jensen-Shannon divergence, Fisher information and Rao's entropy differential metric. Therefore, thermodynamic length is of central interest in understanding matter out-of-equilibrium. In this paper, we will consider how to define thermodynamic length for a small system described by equilibrium statistical mechanics and how to measure thermodynamic length within a computer simulation. Surprisingly, Bennett's classic acceptance ratio method for measuring free energy differences also measures thermodynamic length.
[ { "version": "v1", "created": "Mon, 4 Jun 2007 23:34:57 GMT" }, { "version": "v2", "created": "Fri, 7 Sep 2007 22:30:20 GMT" } ]
2011-11-10T00:00:00
[ [ "Crooks", "Gavin E.", "" ] ]
0706.0560
Fabricio Cabral
Fabricio Bandeira Cabral
Queues with heterogeneous servers and uninformed customers: who works the most?
null
null
null
null
math.PR
null
In this paper, we consider systems that can be modelled by $M \mid M \mid n$ queues with heterogeneous servers and non informed customers. Considering any two servers: we show that the probability that the fastest server is busy is smaller than the probability that the slowest server is busy. Moreover, we show that the effective rate of service done by the fastest server is larger than effective rate of service done by the slowest server.
[ { "version": "v1", "created": "Mon, 4 Jun 2007 23:41:19 GMT" } ]
2007-06-06T00:00:00
[ [ "Cabral", "Fabricio Bandeira", "" ] ]
0706.0561
Yuji Urata
Yuji Urata, Kui-Yun Huang, Ping-Hung Kuo, Wing-Huen Ip, Yulei Qiu, Keisuke Masuno, Makoto Tashiro, Keichi Abe, Kaori Onda, Natsuki Kodaka, Makoto Kuwahara, Toru Tamagawa, Fumihiko Usui, Kunihito Ioka, Yi-Hsi Lee, Jianyan Wei, Jinsong Deng, Weikang Zheng, and Kazuo Makishima
A multi band study of the optically dark GRB 051028
5page, 5 figures, 1 table, accepted for publication in PASJ Letter. PASJ style
null
10.1093/pasj/59.4.L29
null
astro-ph
null
Observations were made of the optical afterglow of GRB 051028 with the Lulin observatory's 1.0 m telescope and the WIDGET robotic telescope system. R band photometric data points were obtained on 2005 October 28 (UT), or 0.095-0.180 days after the burst. There is a possible plateau in the optical light curve around 0.1 days after the burst; the light curve resembles optically bright afterglows (e.g. GRB 041006, GRB 050319, GRB060605) in shape of the light curve but not in brightness. The brightness of the GRB 051028 afterglow is 3 magnitudes fainter than that of one of the dark events, GRB 020124. Optically dark GRBs have been attributed to dust extinction within the host galaxy or high redshift. However, the spectrum analysis of the X-rays implies that there is no significant absorption by the host galaxy. Furthermore, according to the model theoretical calculation of the Ly$\alpha$ absorption to find the limit of GRB 051028's redshift, the expected $R$ band absorption is not high enough to explain the darkness of the afterglow. While the present results disfavor either the high-redshift hypothesis or the high extinction scenario for optically dark bursts, they are consistent with the possibility that the brightness of the optical afterglow, intrinsically dark.
[ { "version": "v1", "created": "Mon, 4 Jun 2007 23:49:12 GMT" } ]
2015-05-13T00:00:00
[ [ "Urata", "Yuji", "" ], [ "Huang", "Kui-Yun", "" ], [ "Kuo", "Ping-Hung", "" ], [ "Ip", "Wing-Huen", "" ], [ "Qiu", "Yulei", "" ], [ "Masuno", "Keisuke", "" ], [ "Tashiro", "Makoto", "" ], [ "Abe", "Keichi", "" ], [ "Onda", "Kaori", "" ], [ "Kodaka", "Natsuki", "" ], [ "Kuwahara", "Makoto", "" ], [ "Tamagawa", "Toru", "" ], [ "Usui", "Fumihiko", "" ], [ "Ioka", "Kunihito", "" ], [ "Lee", "Yi-Hsi", "" ], [ "Wei", "Jianyan", "" ], [ "Deng", "Jinsong", "" ], [ "Zheng", "Weikang", "" ], [ "Makishima", "Kazuo", "" ] ]
0706.0562
Ernesto S. Loscar
Ernesto S. Loscar, R. A. Borzi, Ezequiel V. Albano
Interplay between thermal percolation and jamming upon dimer adsorption on binary alloys
20 pages, 10 figures
Phys. Rev. E 74, 051601 (2006)
10.1103/PhysRevE.74.051601
null
cond-mat.stat-mech
null
Using Monte Carlo simulations we study jamming and percolation processes upon the random sequential adsorption of dimers on binary alloys with different degrees of structural order. We obtain the equimolar mixtures used as substrates by applying the isomorphism between an alloy and the Ising model (conserved order parameter). The annealing temperature $T$ of the mixture then is a continuous parameter that characterizes the different sets of substrates, shaping the deposition process. As the alloy undergoes an order-disorder phase transition at the Onsager critical temperature ($T_{c}$), the jamming and percolating properties of the dimers deposited over the substrate are subjected to non-trivial changes. These are reflected in a density-temperature phase diagram with three well-defined regions. We find that for $T < T^* = 1.22 T_{c}$ the occurrence of jamming prevents the onset of percolating clusters, while percolation is possible for $T > T^{*}$. Particular attention is focused close to $T^{*}$, where the interplay between jamming and percolation restricts fluctuations, forcing exponents seemingly different from the standard percolation universality class. By analogy with a thermal transition, we study the onset of percolation by using the {\it temperature} (in this case, the substrate annealing temperature) as a control parameter. By proposing thermal scaling Ansatzes we analyze the behavior of the percolation threshold and its thermally induced fluctuations. Also, the fractal dimension of the percolating cluster is determined. Based on these measurements and the excellent data collapsing, we conclude that the universality class of standard percolation is preserved for all temperatures.
[ { "version": "v1", "created": "Mon, 4 Jun 2007 23:52:25 GMT" } ]
2009-11-13T00:00:00
[ [ "Loscar", "Ernesto S.", "" ], [ "Borzi", "R. A.", "" ], [ "Albano", "Ezequiel V.", "" ] ]
0706.0563
Lucas Cieza
Lucas Cieza, Deborah L. Padgett, Karl R. Stapelfeldt, Jean-Charles Augereau, Paul Harvey, Neal J. Evans, II, Bruno Merin, David Koerner, Anneila Sargent, Ewine F. van Dishoeck, Lori Allen, Geoffrey Blake, Timothy Brooke, Nicholas Chapman, Tracy Huard, Shih-Ping Lai, Lee Mundy, Philip C. Myers, William Spiesman, Zahed Wahhaj
The Spitzer c2d Survey of Weak-line T Tauri Stars II: New Constraints on the Timescale for Planet Building
54 pages, 13 figures, Accepted by ApJ
Astrophys.J.667:308-328,2007
10.1086/520698
null
astro-ph
null
One of the central goals of the Spitzer Legacy Project ``From Molecular Cores to Planet-forming Disks'' (c2d) is to determine the frequency of remnant circumstellar disks around weak-line T Tauri stars (wTTs) and to study the properties and evolutionary status of these disks. Here we present a census of disks for a sample of over 230 spectroscopically identified wTTs located in the c2d IRAC (3.6, 4.5, 4.8, and 8.0 um) and MIPS (24 um) maps of the Ophiuchus, Lupus, and Perseus Molecular Clouds. We find that ~20% of the wTTs in a magnitude limited subsample have noticeable IR-excesses at IRAC wavelengths indicating the presence of a circumstellar disk. The disk frequencies we find in these 3 regions are ~3-6 times larger than that recently found for a sample of 83 relatively isolated wTTs located, for the most part, outside the highest extinction regions covered by the c2d IRAC and MIPS maps. The disk fractions we find are more consistent with those obtained in recent Spitzer studies of wTTs in young clusters such as IC 348 and Tr 37. From their location in the H-R diagram, we find that, in our sample, the wTTs with excesses are among the younger part of the age distribution. Still, up to ~50% of the apparently youngest stars in the sample show no evidence of IR excess, suggesting that the circumstellar disks of a sizable fraction of pre-main-sequence stars dissipate in a timescale of ~1 Myr. We also find that none of the stars in our sample apparently older than ~10 Myrs have detectable circumstellar disks at wavelengths < 24 um. Also, we find that the wTTs disks in our sample exhibit a wide range of properties (SED morphology, inner radius, L_DISK/L*, etc) which bridge the gaps observed between the cTTs and the debris disk regimes.
[ { "version": "v1", "created": "Mon, 4 Jun 2007 23:55:50 GMT" } ]
2012-08-27T00:00:00
[ [ "Cieza", "Lucas", "" ], [ "Padgett", "Deborah L.", "" ], [ "Stapelfeldt", "Karl R.", "" ], [ "Augereau", "Jean-Charles", "" ], [ "Harvey", "Paul", "" ], [ "Evans", "Neal J.", "" ], [ "II", "", "" ], [ "Merin", "Bruno", "" ], [ "Koerner", "David", "" ], [ "Sargent", "Anneila", "" ], [ "van Dishoeck", "Ewine F.", "" ], [ "Allen", "Lori", "" ], [ "Blake", "Geoffrey", "" ], [ "Brooke", "Timothy", "" ], [ "Chapman", "Nicholas", "" ], [ "Huard", "Tracy", "" ], [ "Lai", "Shih-Ping", "" ], [ "Mundy", "Lee", "" ], [ "Myers", "Philip C.", "" ], [ "Spiesman", "William", "" ], [ "Wahhaj", "Zahed", "" ] ]
0706.0564
Josephine Yu
Bernd Sturmfels and Josephine Yu
Tropical Implicitization and Mixed Fiber Polytopes
21 pages, 2 figures; Typo fixed in Theorem 5.2
Software for algebraic geometry, 111--131, IMA Vol. Math. Appl., 148, Springer, New York, 2008
null
null
cs.SC math.AG math.CO
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The software TrIm offers implementations of tropical implicitization and tropical elimination, as developed by Tevelev and the authors. Given a polynomial map with generic coefficients, TrIm computes the tropical variety of the image. When the image is a hypersurface, the output is the Newton polytope of the defining polynomial. TrIm can thus be used to compute mixed fiber polytopes, including secondary polytopes.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 00:53:37 GMT" }, { "version": "v2", "created": "Sun, 20 Jun 2010 22:57:11 GMT" } ]
2010-06-22T00:00:00
[ [ "Sturmfels", "Bernd", "" ], [ "Yu", "Josephine", "" ] ]
0706.0565
Jianguo Cao
Jianguo Cao, Bo Dai and Jiaqiang Mei
An extension of Perelman's soul theorem for singular spaces
Update graphs, using the new trapezoid comparison theorem and new angular excess estimates to prove the main theorem
null
null
null
math.DG math.GT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper, we study open complete metric spaces with non-negative curvature. Among other things, we establish an extension of Perelman's soul theorem for possibly singular spaces: "Let X be a complete, non-compact, finite dimensional Alexandrov space with non-negative curvature. Suppose that X has no boundary and has positive curvature on a non-empty open subset. Then X must be a contractible space". The proof of this result uses the detailed analysis of concavity of distance functions and Busemann functions on singular spaces with non-negative curvature. We will introduce a family of angular excess functions to measure convexity and extrinsic curvature of convex hypersurfaces in singular spaces. We also derive a new comparison for trapezoids in non-negatively curved spaces, which led to desired convexity estimates for the proof of our new soul theorem.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 01:37:04 GMT" }, { "version": "v2", "created": "Tue, 19 Jun 2007 13:30:03 GMT" }, { "version": "v3", "created": "Wed, 19 Dec 2007 15:51:34 GMT" }, { "version": "v4", "created": "Wed, 13 Jan 2010 15:38:17 GMT" }, { "version": "v5", "created": "Mon, 29 Mar 2010 19:47:51 GMT" }, { "version": "v6", "created": "Wed, 9 Jun 2010 09:37:11 GMT" } ]
2010-06-10T00:00:00
[ [ "Cao", "Jianguo", "" ], [ "Dai", "Bo", "" ], [ "Mei", "Jiaqiang", "" ] ]
0706.0566
Bjorn Poonen
Alexandru Buium, Bjorn Poonen
Relations among modular points on elliptic curves
48 pages
Duke Math. J. 147 (2009), no. 1, 181-191; Compos. Math. 145 (2009), no. 3, 566-602
10.1215/00127094-2009-010
null
math.NT
null
Given a correspondence between a modular curve and an elliptic curve A we study the group of relations among the CM points of A. In particular we prove that the intersection of any finite rank subgroup of A with the set of CM points of A is finite. We also prove a local version of this global result with an effective bound valid also for certain infinite rank subgroups. We deduce the local result from a ``reciprocity'' theorem for CL (canonical lift) points on A. Furthermore we prove similar global and local results for intersections between subgroups of A and isogeny classes in A. Finally we prove Shimura curve analogues and, in some cases, higher-dimensional versions of these results.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 01:45:21 GMT" } ]
2017-04-03T00:00:00
[ [ "Buium", "Alexandru", "" ], [ "Poonen", "Bjorn", "" ] ]
0706.0567
Keiji Takano
Shin-ichi Kato and Keiji Takano
Subrepresentation Theorem for p-adic Symmetric Spaces
34 pages; added references
null
null
null
math.RT math.NT
null
The notion of relative cuspidality for distinguished representations attached to $p$-adic symmetric spaces is introduced. A characterization of relative cuspidality in terms of Jacquet modules is given and a generalization of Jacquet's subrepresentation theorem to the relative case (symmetric space case) is established.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 01:53:58 GMT" }, { "version": "v2", "created": "Mon, 18 Jun 2007 11:12:10 GMT" } ]
2007-06-18T00:00:00
[ [ "Kato", "Shin-ichi", "" ], [ "Takano", "Keiji", "" ] ]
0706.0568
Xue-Bing Wu
Bing-Xiao Xu and Xue-Bing Wu (PKU)
A feedback compression star formation model and the black hole - bulge relations
13 pages, accepted for publication in ApJ
Astrophys.J.667:92-96,2007
10.1086/520107
null
astro-ph
null
We present a "feedback compression" model to describe the galactic spheroid formation and its relation with the central nuclear activity. We suggest that the star formation itself can serve as the "positive feedback" in some extremely dense region to trigger the starburst. The star formation rate as well as the related stellar feedback-induced turbulence will be maximized under the regulation of the background dark halo's gravity. There is also stellar feedback acting inward to confine and obscure the central black hole (BH) till the BH grows sufficiently large to satisfy a balance condition between the accretion disk wind and the inward stellar feedback. The extremely vigorous star formation activity, the BH - bulge relations, the maximum velocity dispersion as well as the maximum BH mass are investigated based on such scenario, and are found to be consistent with observations.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 01:58:05 GMT" } ]
2009-06-23T00:00:00
[ [ "Xu", "Bing-Xiao", "", "PKU" ], [ "Wu", "Xue-Bing", "", "PKU" ] ]
0706.0569
Jean Turner
Sara C. Beck (Tel Aviv), Jean L. Turner (UCLA), Jenna Kloosterman (Berkeley)
The Extraordinary Infrared Spectrum of NGC 1222 (Mkn 603)
accepted, Astronomical Journal. 29 pp, 4 figures. In replacement version an acknowledgment to NRAO is added
Astron.J.134:1237-1244,2007
10.1086/520642
null
astro-ph
null
The infrared spectra of starburst galaxies are dominated by the low-excitation lines of [NeII] and [SIII], and the stellar populations deduced from these spectra appear to lack stars larger than about 35 Msun. The only exceptions to this result until now were low metallicity dwarf galaxies. We report our analysis of the mid-infrared spectra obtained with IRS on Spitzer of the starburst galaxy NGC 1222 (Mkn 603). NGC 1222 is a large spheroidal galaxy with a starburst nucleus that is a compact radio and infrared source, and its infrared emission is dominated by the [NeIII] line. This is the first starburst of solar or near-solar metallicity, known to us, which is dominated by the high-excitation lines and which is a likely host of high mass stars. We model the emission with several different assumptions as to the spatial distibution of the high- and low-excitation lines and find that the upper mass cutoff in this galaxy is 40-100 Msun.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 02:12:10 GMT" }, { "version": "v2", "created": "Tue, 26 Jun 2007 21:19:59 GMT" } ]
2009-06-23T00:00:00
[ [ "Beck", "Sara C.", "", "Tel Aviv" ], [ "Turner", "Jean L.", "", "UCLA" ], [ "Kloosterman", "Jenna", "", "Berkeley" ] ]
0706.0570
Jean-Luc Marichal
Jean-Luc Marichal
Weighted lattice polynomials
Revised version (minor changes)
Discrete Mathematics 309 (4) (2009) 814-820
null
null
math.RA math.CO
null
We define the concept of weighted lattice polynomial functions as lattice polynomial functions constructed from both variables and parameters. We provide equivalent forms of these functions in an arbitrary bounded distributive lattice. We also show that these functions include the class of discrete Sugeno integrals and that they are characterized by a median based decomposition formula.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 02:17:50 GMT" }, { "version": "v2", "created": "Tue, 15 Jan 2008 12:34:18 GMT" } ]
2009-02-23T00:00:00
[ [ "Marichal", "Jean-Luc", "" ] ]
0706.0571
David Adams
D.A. Adams, R.K.P Zia, B. Schmittmann
Power Spectra of the Total Occupancy in the Totally Asymmetric Simple Exclusion Process
4 pages, 4 figures
Phys. Rev. Lett. 99, 020601 (2007)
10.1103/PhysRevLett.99.020601
null
cond-mat.stat-mech
null
As a solvable and broadly applicable model system, the totally asymmetric exclusion process enjoys iconic status in the theory of non-equilibrium phase transitions. Here, we focus on the time dependence of the total number of particles on a 1-dimensional open lattice, and its power spectrum. Using both Monte Carlo simulations and analytic methods, we explore its behavior in different characteristic regimes. In the maximal current phase and on the coexistence line (between high/low density phases), the power spectrum displays algebraic decay, with exponents -1.62 and -2.00, respectively. Deep within the high/low density phases, we find pronounced \emph{oscillations}, which damp into power laws. This behavior can be understood in terms of driven biased diffusion with conserved noise in the bulk.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 02:42:19 GMT" } ]
2009-11-13T00:00:00
[ [ "Adams", "D. A.", "" ], [ "Zia", "R. K. P", "" ], [ "Schmittmann", "B.", "" ] ]
0706.0572
Yi-Fu Cai
Yi-Fu Cai, Yi Wang
Is Noncommutative Eternal Inflation Possible?
14 pages, 2 figures, accepted by JCAP
JCAP 0706:022,2007
10.1088/1475-7516/2007/06/022
null
hep-th astro-ph gr-qc
null
We investigate the condition for eternal inflation to take place in the noncommutative spacetime. We find that the possibility for eternal inflation's happening is greatly suppressed in this case. If eternal inflation cannot happen in the low energy region where the noncommutativity is very weak (the UV region), it will never happen during the whole inflationary history. Based on these conclusions, we argue that an initial condition for eternal inflation is available from the property of spacetime noncommutativity.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 02:42:54 GMT" }, { "version": "v2", "created": "Thu, 21 Jun 2007 10:45:11 GMT" } ]
2010-10-27T00:00:00
[ [ "Cai", "Yi-Fu", "" ], [ "Wang", "Yi", "" ] ]
0706.0573
Zihua Weng
Zihua Weng
Compounding Fields and Their Quantum Equations in the Curved Spaces
17 pages
null
null
null
physics.gen-ph
null
Based on the concept of curved spacetime in Einsteinian General Relativity, the field theories and their quantum theories in the curved octonion spaces etc are discussed. The research results discover the close relationships of the curved spacetimes with the field theories and quantum theories. In the field theories of curved spacetimes, the curvatures have direct effect on field strength and field source etc. While the curvatures have direct impact on wave functions and quantum equations etc in the quantum theories of curved spacetimes. The research results discover that some abnormal phenomena of field source particles could be explained by the field theories or quantum theories in the curved spacetimes.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 02:54:00 GMT" }, { "version": "v2", "created": "Fri, 7 Sep 2007 11:23:46 GMT" } ]
2011-11-10T00:00:00
[ [ "Weng", "Zihua", "" ] ]
0706.0574
Han Ju Lee
Sung Guen Kim, Han Ju Lee
Norm and Numerical Peak Holomorphic Functions on Banach Spaces
null
null
null
null
math.FA
null
We introduce the notion of numerical (strong) peak function and investigate the denseness of the norm and numerical peak functions on complex Banach spaces. Let $A_b(B_X:X)$ be the Banach space of all bounded continuous functions $f$ on the unit ball $B_X$ of a Banach space $X$ and their restrictions $f|_{B_X^\circ}$ to the open unit ball are holomorphic. In finite dimensional spaces, we show that the intersection of the set of all norm peak functions and the set of all numerical peak functions is a dense $G_\delta$ subset of $A_b(B_X:X)$. We also prove that if $X$ is a smooth Banach space with the Radon-Nikod\'ym property, then the set of all numerical strong peak functions is dense in $A_b(B_X:X)$. In particular, when $X=L_p(\mu)$ $(1<p<\infty)$ or $X=\ell_1$, it is shown that the intersection of the set of all norm strong peak functions and the set of all numerical strong peak functions is a dense $G_\delta$ subset of $A_b(B_X:X)$. In the meanwhile, we study the properties of the numerical radius of an holomorphic function and the numerical index of subspaces of $A_b(B_X:X)$. As an application, the existence and properties of numerical boundary of $A_b(B_X:X)$ are studied. Finally, the numerical peak function in $A_b(B_X:X)$ is characterized when $X=\ell_\infty^n$ and some negative results on the denseness of numerical (strong) peak holomorphic functions are given.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 04:07:18 GMT" } ]
2007-06-06T00:00:00
[ [ "Kim", "Sung Guen", "" ], [ "Lee", "Han Ju", "" ] ]
0706.0575
Marcelo J. Reboucas
A. Bernui, B. Mota, M.J. Reboucas, R. Tavakol
A note on the large-angle anisotropies in the WMAP cut-sky maps
10 pages, 3 figeres. We performed a similar analysis of arXiv:astro-ph/0511666 by considering the LILC map with a Kp2 sky cut, and find that the presence of a significant axis of asymmetry is robust with respect to this masking procedure
Int.J.Mod.Phys.D16:411-420,2007
10.1142/S0218271807010195
null
astro-ph gr-qc hep-th
null
Recent analyses of the WMAP data seem to indicate the possible presence of large-angle anisotropy in the Universe. If confirmed, these can have important consequences for our understanding of the Universe. A number of attempts have recently been made to establish the reality and nature of such anisotropies in the CMB data. Among these is a directional indicator recently proposed by the authors. A distinctive feature of this indicator is that it can be used to generate a sky map of the large-scale anisotropies of the CMB maps. Applying this indicator to full-sky temperature maps we found a statistically significant preferred direction. The full-sky maps used in these analyses are known to have residual foreground contamination as well as complicated noise properties. Thus, here we performed the same analysis for a map where regions with high foreground contamination were removed. We find that the main feature of the full-sky analysis, namely the presence of a significant axis of asymmetry, is robust with respect to this masking procedure. Other subtler anomalies of the full-sky are on the other hand no longer present.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 03:52:25 GMT" } ]
2009-06-23T00:00:00
[ [ "Bernui", "A.", "" ], [ "Mota", "B.", "" ], [ "Reboucas", "M. J.", "" ], [ "Tavakol", "R.", "" ] ]
0706.0576
Lester Fox Machado
L. Fox Machado, E. Michel, F. Perez Hernandez, J.H. Pena, Z.P. Li, M. Chevreton, J.A. Belmonte, M. Alvarez, L. Parrao, M.-A. Dupret, S. Pau, A. Fernandez, J.P. Michel, R. Michel, A. Pani
Multi-site observations of Delta Scuti stars 7 Aql and 8 Aql (a new Delta Scuti variable): The twelfth STEPHI campaign in 2003
8 pages, 7 fugures, 5 tables, accepted for publication in Astronomical Journal
Astron.J.134:860-866,2007
10.1086/520062
null
astro-ph
null
We present an analysis of the pulsation behaviour of the Delta Scuti stars 7 Aql (HD 174532) and 8 Aql (HD 174589) -- a new variable star -- observed in the framework of STEPHI XII campaign during 2003 June--July. 183 hours of high precision photometry were acquired by using four-channel photometers at three sites on three continents during 21 days. The light curves and amplitude spectra were obtained following a classical scheme of multi-channel photometry. Observations in different filters were also obtained and analyzed. Six and three frequencies have been unambiguously detected above a 99% confidence level in the range 0.090 mHz--0.300 mHz and 0.100 mHz-- 0.145 mHz in 7 Aql and 8 Aql respectively. A comparison of observed and theoretical frequencies shows that 7 Aql and 8 Aql may oscillate with p modes of low radial orders, typical among Delta Scuti stars. In terms of radial oscillations the range of 8 Aql goes from n=1 to n=3 while for 7 Aql the range spans from n=4 to n=7. Non-radial oscillations have to be present in both stars as well. The expected range of excited modes according to a non adiabatic analysis goes from n=1 to n=6 in both stars.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 04:01:42 GMT" } ]
2009-06-23T00:00:00
[ [ "Machado", "L. Fox", "" ], [ "Michel", "E.", "" ], [ "Hernandez", "F. Perez", "" ], [ "Pena", "J. H.", "" ], [ "Li", "Z. P.", "" ], [ "Chevreton", "M.", "" ], [ "Belmonte", "J. A.", "" ], [ "Alvarez", "M.", "" ], [ "Parrao", "L.", "" ], [ "Dupret", "M. -A.", "" ], [ "Pau", "S.", "" ], [ "Fernandez", "A.", "" ], [ "Michel", "J. P.", "" ], [ "Michel", "R.", "" ], [ "Pani", "A.", "" ] ]
0706.0577
Minoru Nohara
T. Shibayama, M. Nohara, H. Aruga Katori, Y. Okamoto, Z. Hiroi, and H. Takagi
Superconductivity in Rh$_2$Ga$_9$ and Ir$_2$Ga$_9$ without Inversion Symmetry
to appear in J. Phys. Soc. Jpn. Vol. 76, No. 7 (2007)
null
10.1143/JPSJ.76.073708
null
cond-mat.supr-con
null
Superconductivity with $T_{\rm c}$ $\simeq$ 2 K was discovered in the intermetallic binary compounds Rh$_2$Ga$_9$ and Ir$_2$Ga$_9$. This is the first observation of superconductivity in the Rh-Ga and Ir-Ga binary systems. Both compounds crystallize in a distorted Co$_2$Al$_9$-type structure (monoclinic, space group: $Pc$), which lacks spatial inversion symmetry. Specific heat measurements revealed that both compounds are weak-coupling BCS superconductors having an isotropic superconducting gap. Measurements in magnetic fields indicated type-I superconductivity with a critical field $H_{\rm c}(0)$ $\simeq$ 130 Oe for Rh$_2$Ga$_9$ and type-II superconductivity with an upper critical field $H_{\rm c2}(0)$ $\simeq$ 250 Oe for Ir$_2$Ga$_9$.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 04:14:33 GMT" } ]
2009-11-13T00:00:00
[ [ "Shibayama", "T.", "" ], [ "Nohara", "M.", "" ], [ "Katori", "H. Aruga", "" ], [ "Okamoto", "Y.", "" ], [ "Hiroi", "Z.", "" ], [ "Takagi", "H.", "" ] ]
0706.0578
Susan Margulies
J.A. De Loera, J. Lee, S. Margulies, S. Onn
Expressing Combinatorial Optimization Problems by Systems of Polynomial Equations and the Nullstellensatz
null
null
null
null
math.CO math.AG
null
Systems of polynomial equations over the complex or real numbers can be used to model combinatorial problems. In this way, a combinatorial problem is feasible (e.g. a graph is 3-colorable, hamiltonian, etc.) if and only if a related system of polynomial equations has a solution. In the first part of this paper, we construct new polynomial encodings for the problems of finding in a graph its longest cycle, the largest planar subgraph, the edge-chromatic number, or the largest k-colorable subgraph. For an infeasible polynomial system, the (complex) Hilbert Nullstellensatz gives a certificate that the associated combinatorial problem is infeasible. Thus, unless P = NP, there must exist an infinite sequence of infeasible instances of each hard combinatorial problem for which the minimum degree of a Hilbert Nullstellensatz certificate of the associated polynomial system grows. We show that the minimum-degree of a Nullstellensatz certificate for the non-existence of a stable set of size greater than the stability number of the graph is the stability number of the graph. Moreover, such a certificate contains at least one term per stable set of G. In contrast, for non-3- colorability, we found only graphs with Nullstellensatz certificates of degree four.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 04:28:18 GMT" } ]
2007-06-06T00:00:00
[ [ "De Loera", "J. A.", "" ], [ "Lee", "J.", "" ], [ "Margulies", "S.", "" ], [ "Onn", "S.", "" ] ]
0706.0579
Feng-Wen An
Feng-Wen An
Affine Structures on a Ringed Space and Schemes
Final version. 22 pages. to appear in Chinese Ann of Math, Series B
null
null
null
math.AG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper we will first introduce the notion of affine structures on a ringed space and then obtain several properties. Affine structures on a ringed space, arising mainly from complex analytical spaces of algebraic schemes over number fields, behave like differential structures on a smooth manifold. As one does for differential manifolds, we will use pseudogroups of affine transformations to define affine atlases on a ringed space. An atlas on a space is said to be an affine structure if it is maximal. An affine structure is admissible if there is a sheaf on the underlying space such that they are coincide on all affine charts, which are in deed affine open sets of a scheme. In a rigour manner, a scheme is defined to be a ringed space with a specified affine structure if the affine structures are in action in some special cases such as analytical spaces of algebraic schemes. Particularly, by the whole of affine structures on a space, we will obtain respectively necessary and sufficient conditions that two spaces are homeomorphic and that two schemes are isomorphic, which are the two main theorems of the paper. It follows that the whole of affine structures on a space and a scheme, as local data, encode and reflect the global properties of the space and the scheme, respectively.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 05:29:40 GMT" }, { "version": "v2", "created": "Tue, 22 Apr 2008 17:14:20 GMT" }, { "version": "v3", "created": "Tue, 13 Jul 2010 09:46:59 GMT" }, { "version": "v4", "created": "Wed, 14 Jul 2010 00:20:31 GMT" } ]
2010-07-15T00:00:00
[ [ "An", "Feng-Wen", "" ] ]
0706.0580
Yoo Chung
Yoo Chung
Efficient Batch Update of Unique Identifiers in a Distributed Hash Table for Resources in a Mobile Host
To be presented at the 2010 International Workshop on Cloud Computing, Applications and Technologies
null
10.1109/ISPA.2010.73
null
cs.NI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Resources in a distributed system can be identified using identifiers based on random numbers. When using a distributed hash table to resolve such identifiers to network locations, the straightforward approach is to store the network location directly in the hash table entry associated with an identifier. When a mobile host contains a large number of resources, this requires that all of the associated hash table entries must be updated when its network address changes. We propose an alternative approach where we store a host identifier in the entry associated with a resource identifier and the actual network address of the host in a separate host entry. This can drastically reduce the time required for updating the distributed hash table when a mobile host changes its network address. We also investigate under which circumstances our approach should or should not be used. We evaluate and confirm the usefulness of our approach with experiments run on top of OpenDHT.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 05:28:54 GMT" }, { "version": "v2", "created": "Mon, 21 Jun 2010 02:51:05 GMT" } ]
2011-04-07T00:00:00
[ [ "Chung", "Yoo", "" ] ]
0706.0581
Ko Honda
Vincent Colin and Ko Honda
Stabilizing the monodromy of an open book decomposition
10 pages, 2 figures
null
null
null
math.GT
null
We prove that any mapping class on a compact oriented surface with nonempty boundary can be made pseudo-Anosov and right-veering after a sequence of positive stabilizations.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 05:18:55 GMT" } ]
2007-06-06T00:00:00
[ [ "Colin", "Vincent", "" ], [ "Honda", "Ko", "" ] ]
0706.0582
Jayeeta Chowdhury
Jayeeta Chowdhury, S. N. Karmakar and Bibhas Bhattacharyya
Ground state phase diagram and magnetoconductance of a one-dimensional Hubbard superlattice at half-filling
10 pages, 13 figures. to be published in Phys. Rev. B, vol. 75, Issue 23 (tentative)
null
10.1103/PhysRevB.75.235117
null
cond-mat.str-el
null
We have studied a one dimensional Hubbard superlattice with different Coulomb correlations at alternating sites for a half-filled band. Mean field calculations based on the Hartree-Fock approximation together with a real space renormalization group technique were used to study the ground state of the system. The phase diagrams obtained in these approaches agree with each other from the weak to the intermediate coupling regime. The mean field results show very quick convergence with system size. The renormalization group results indicate a spatial modulation of local moments that was identified in some previous work. Also we have studied the magnetoconductance of such superlattices which reveals several interesting points.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 05:27:51 GMT" }, { "version": "v2", "created": "Wed, 6 Jun 2007 05:43:23 GMT" } ]
2009-11-13T00:00:00
[ [ "Chowdhury", "Jayeeta", "" ], [ "Karmakar", "S. N.", "" ], [ "Bhattacharyya", "Bibhas", "" ] ]
0706.0583
Zahid Mahmood H
Zahid Hasan Mahmood, A.P. Shah, Abdul Kadir, M. R. Gokhale, Sandip Ghosh, Arnab Bhattacharya and B. M. Arora
Determination of InN-GaN heterostructure band offsets from internal photoemission measurements
10 pages, 3 figures
null
null
null
cond-mat.mtrl-sci cond-mat.other
null
Band discontinuities at the InN-GaN heterointerface are experimentally determined from internal photoemission spectroscopy measurements on n+ InN on GaN epilayers. The photocurrent shows two threshold energies, one at 1.624 eV and the other at 2.527 eV. From these we obtain the valence band offset 0.85 eV and the conduction band offset 1.82 eV.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 05:30:31 GMT" } ]
2007-06-06T00:00:00
[ [ "Mahmood", "Zahid Hasan", "" ], [ "Shah", "A. P.", "" ], [ "Kadir", "Abdul", "" ], [ "Gokhale", "M. R.", "" ], [ "Ghosh", "Sandip", "" ], [ "Bhattacharya", "Arnab", "" ], [ "Arora", "B. M.", "" ] ]
0706.0584
Nicholas Parker
I. Corro, N. G. Parker and A. M. Martin
Rotation of an atomic Bose-Einstein condensate with and without a quantized vortex
15 pages, 8 figures
J. Phys. B: At. Mol. Opt. Phys. 40 (2007) 3615-3628
10.1088/0953-4075/40/18/004
null
cond-mat.other
null
We theoretically examine the rotation of an atomic Bose-Einstein condensate in an elliptical trap, both in the absence and presence of a quantized vortex. Two methods of introducing the rotating potential are considered - adiabatically increasing the rotation frequency at fixed ellipticity, and adiabatically increasing the trap ellipticity at fixed rotation frequency. Extensive simulations of the Gross-Pitaevskii equation are employed to map out the points where the condensate becomes unstable and ultimately forms a vortex lattice. We highlight the key features of having a quantized vortex in the initial condensate. In particular, we find that the presence of the vortex causes the instabilities to shift to lower or higher rotation frequencies, depending on the direction of the vortex relative to the trap rotation.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 05:34:32 GMT" } ]
2009-11-13T00:00:00
[ [ "Corro", "I.", "" ], [ "Parker", "N. G.", "" ], [ "Martin", "A. M.", "" ] ]
0706.0585
Zhendong Zhao
Zhendong Zhao, Lei Yuan, Yuxuan Wang, Forrest Sheng Bao, Shunyi Zhang Yanfei Sun
A Novel Model of Working Set Selection for SMO Decomposition Methods
8 pages, 12 figures, it was submitted to IEEE International conference of Tools on Artificial Intelligence
null
10.1109/ICTAI.2007.99
null
cs.LG cs.AI
null
In the process of training Support Vector Machines (SVMs) by decomposition methods, working set selection is an important technique, and some exciting schemes were employed into this field. To improve working set selection, we propose a new model for working set selection in sequential minimal optimization (SMO) decomposition methods. In this model, it selects B as working set without reselection. Some properties are given by simple proof, and experiments demonstrate that the proposed method is in general faster than existing methods.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 05:55:07 GMT" } ]
2016-11-15T00:00:00
[ [ "Zhao", "Zhendong", "" ], [ "Yuan", "Lei", "" ], [ "Wang", "Yuxuan", "" ], [ "Bao", "Forrest Sheng", "" ], [ "Sun", "Shunyi Zhang Yanfei", "" ] ]
0706.0586
Woonyoung So
W. Y. So, T. Udagawa, K. S. Kim, S. W. Hong, B. T. Kim
Extended Optical Model Analyses of Elastic Scattering and Fusion Cross Section Data for the 7Li+208Pb System at Near-Coulomb-Barrier Energies using the Folding Potential
7 figures, submitted to PRC
Phys.Rev.C76:024613,2007
10.1103/PhysRevC.76.024613
null
nucl-th
null
Simultaneous $\chi^{2}$ analyses previously made for elastic scattering and fusion cross section data for the $^{6}$Li+$^{208}$Pb system is extended to the $^{7}$Li+$^{208}$Pb system at near-Coulomb-barrier energies based on the extended optical model approach, in which the polarization potential is decomposed into direct reaction (DR) and fusion parts. Use is made of the double folding potential as a bare potential. It is found that the experimental elastic scattering and fusion data are well reproduced without introducing any normalization factor for the double folding potential and that both the DR and fusion parts of the polarization potential determined from the $\chi^{2}$ analyses satisfy separately the dispersion relation. Further, we find that the real part of the fusion portion of the polarization potential is attractive while that of the DR part is repulsive except at energies far below the Coulomb barrier energy. A comparison is made of the present results with those obtained from the Continuum Discretized Coupled Channel (CDCC) calculations and a previous study based on the conventional optical model with a double folding potential. We also compare the present results for the $^7$Li+$^{208}$Pb system with the analysis previously made for the $^{6}$Li+$^{208}$Pb system.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 05:56:01 GMT" } ]
2008-11-26T00:00:00
[ [ "So", "W. Y.", "" ], [ "Udagawa", "T.", "" ], [ "Kim", "K. S.", "" ], [ "Hong", "S. W.", "" ], [ "Kim", "B. T.", "" ] ]
0706.0587
Paul Edmon
P. P. Edmon, T. W. Jones, H. Kang
Time Evolution of Cosmic Ray MHD Shocks and Their Emissions
4 page, 2 figures, To appear in the Proceedings of the 30th ICRC, Merida, Mexico
null
null
null
astro-ph
null
We present results of time evolution of oblique MHD plane shocks including diffusive cosmic ray acceleration with backreaction on the plasma flows. The simulations include self-consistent effects of finite Alfven wave propagation and dissipation. From the computed cosmic ray particle phase space distributions we calculate expected leptonic and hadronic emissions resulting from interactions between the cosmic rays, magnetic fields, the thermal particle population and relevant astrophysical photon fields.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 20:00:12 GMT" }, { "version": "v2", "created": "Wed, 6 Jun 2007 15:00:36 GMT" }, { "version": "v3", "created": "Wed, 13 Jun 2007 19:35:49 GMT" } ]
2007-06-13T00:00:00
[ [ "Edmon", "P. P.", "" ], [ "Jones", "T. W.", "" ], [ "Kang", "H.", "" ] ]
0706.0588
Jesus I?arrea
Jesus Inarrea
Hall magnetoresistivity response under Microwave excitation revisited
3 pages, 2 figures
Applied Physics Letters 90, 172118, (2007)
10.1063/1.2734506
null
cond-mat.mes-hall
null
We theoretically analyzed the microwave-induced modification of the Hall magnetoresistivity in high mobility two-dimensional electron systems. These systems present diagonal magnetoresistivity oscillations and zero-resistance states when are subjected to microwave radiation. The most surprising modification of the Hall magnetoresistivity is a periodic reduction which correlates with a periodic increase in the diagonal resistivity. We present a model that explains the experimental results considering that radiation affects directly only the diagonal resistivity and the observed Hall resistivity changes are coming from the tensor relationship between both of them.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 07:05:04 GMT" } ]
2009-11-13T00:00:00
[ [ "Inarrea", "Jesus", "" ] ]
0706.0589
Cai-Dian Lu
Cai-Dian Lu
QCD in hadronic B decays
7 pages, with 1 figure, proceedings of the International Conference On Nonperturbative Quantum Field Theory: Lattice And Beyond, 18-20 Dec 2004, Guangzhou, Canton, China
Mod.Phys.Lett.A22:615-621,2007
10.1142/S0217732307023201
null
hep-ph
null
The perturbative QCD approach is based on $k_T$ factorization, including the Sudakov form factors so that to avoid the endpoint singularity. In this approach, we calculate the charmless B decays like $B\to \pi\pi$ decays etc. to produce the right number of branching ratios and also CP asymmetry parameters. For final states with at least one charmed meson, like $B\to D\pi$ decays, our results also agree with the experiments.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 07:05:25 GMT" } ]
2008-11-26T00:00:00
[ [ "Lu", "Cai-Dian", "" ] ]
0706.0590
Alexander Olshanskiy
A. Yu. Olshanskii
On products of T-ideals in free algebras and free group algebras
7 pages
null
null
null
math.RA math.RT
null
Let F be a field and A a free associative F-algebra or a group algebra of a free group with an infinite set X of generators. We find a necessary and sufficient condition for the inclusion I' into I, where I=I_1...I_k and I'=I'_1...I'_l are any products of T-ideals in A. A canonical reformulation in terms of products of group representation varieties answers a question posed in 1986
[ { "version": "v1", "created": "Tue, 5 Jun 2007 07:41:35 GMT" } ]
2007-06-06T00:00:00
[ [ "Olshanskii", "A. Yu.", "" ] ]
0706.0591
Francisco Navarro-Lerida
Francisco Navarro-Lerida
Perturbative Charged Rotating 5D Einstein-Maxwell Black Holes
RevTeX style, 4 pages, 5 figures
Gen.Rel.Grav.42:2891-2900,2010
10.1007/s10714-010-1033-1
null
hep-th
null
We present perturbative charged rotating 5D Einstein-Maxwell black holes with spherical horizon topology. The electric charge Q is the perturbative parameter, the perturbations being performed up to 4th order. The expressions for the relevant physical properties of these black holes are given. The gyromagnetic ratio g, in particular, is explicitly shown to be non-constant in higher order, and thus to deviate from its lowest order value, g=3. Comparison of the perturbative analytical solutions with their non-perturbative numerical counterparts shows remarkable agreement.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 07:13:08 GMT" } ]
2010-11-09T00:00:00
[ [ "Navarro-Lerida", "Francisco", "" ] ]
0706.0592
Luis Martinez
L. Martinez Alonso and E. Medina
Semiclassical expansions in the Toda hierarchy and the hermitian matrix model
22 pages
null
10.1088/1751-8113/40/47/013
null
nlin.SI
null
An iterative algorithm for determining a class of solutions of the dispersionful 2-Toda hierarchy characterized by string equations is developed. This class includes the solution which underlies the large N-limit of the Hermitian matrix model in the one-cut case. It is also shown how the double scaling limit can be naturally formulated in this scheme
[ { "version": "v1", "created": "Tue, 5 Jun 2007 07:29:06 GMT" } ]
2009-11-13T00:00:00
[ [ "Alonso", "L. Martinez", "" ], [ "Medina", "E.", "" ] ]
0706.0593
Vicente Munoz
Vicente Mu\~noz
Hodge polynomials of the moduli spaces of rank 3 pairs
23 pages, no figures. v2: sign in formula of Theorem 1.2 corrected. arXiv admin note: text overlap with arXiv:math/0701642, arXiv:math/0606676
Geometriae Dedicata, 2008, vol. 136, pp. 17-46
null
null
math.AG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Let $X$ be a smooth projective curve of genus $g\geq 2$ over the complex numbers. A holomorphic triple $(E_1,E_2,\phi)$ on $X$ consists of two holomorphic vector bundles $E_1$ and $E_2$ over $X$ and a holomorphic map $\phi:E_2 \to E_1$. There is a concept of stability for triples which depends on a real parameter $\sigma$. In this paper, we determine the Hodge polynomials of the moduli spaces of $\sigma$-stable triples with $\rk(E_1)=3$, $\rk(E_2)=1$, using the theory of mixed Hodge structures. This gives in particular the Poincar\'e polynomials of these moduli spaces. As a byproduct, we recover the Hodge polynomial of the moduli space of odd degree rank 3 stable vector bundles.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 07:40:04 GMT" }, { "version": "v2", "created": "Sun, 16 Sep 2012 11:32:44 GMT" } ]
2012-09-18T00:00:00
[ [ "Muñoz", "Vicente", "" ] ]
0706.0594
Jean-Francois Pinton
Yoann Gasteuil (Phys-ENS), Woodrow Shew (Phys-ENS), Mathieu Gibert (Phys-ENS), Francesca Chilla (Phys-ENS), Bernard Castaing (Phys-ENS), Jean-Fran\c{c}ois Pinton (Phys-ENS)
Lagrangian temperature, velocity and local heat flux measurement in Rayleigh-Benard convection
4 pages
PRL 99, 234302 (2007)
10.1103/PhysRevLett.99.234302
null
physics.flu-dyn
null
We have developed a small, neutrally buoyant, wireless temperature sensor. Using a camera for optical tracking, we obtain simultaneous measurements of position and temperature of the sensor as it is carried along by the flow in Rayleigh-B\'enard convection, at $Ra \sim 10^{10}$. We report on statistics of temperature, velocity, and heat transport in turbulent thermal convection. The motion of the sensor particle exhibits dynamics close to that of Lagrangian tracers in hydrodynamic turbulence. We also quantify heat transport in plumes, revealing self-similarity and extreme variations from plume to plume.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 07:45:29 GMT" } ]
2011-12-06T00:00:00
[ [ "Gasteuil", "Yoann", "", "Phys-ENS" ], [ "Shew", "Woodrow", "", "Phys-ENS" ], [ "Gibert", "Mathieu", "", "Phys-ENS" ], [ "Chilla", "Francesca", "", "Phys-ENS" ], [ "Castaing", "Bernard", "", "Phys-ENS" ], [ "Pinton", "Jean-François", "", "Phys-ENS" ] ]
0706.0595
Christoph Stephan A.
Christoph A. Stephan
Almost-Commutative Geometries Beyond the Standard Model II: New Colours
Revised version for publication in J.Phys.A with corrected Higgs masses
J.Phys.A40:9941,2007
10.1088/1751-8113/40/32/017
null
hep-th
null
We will present an extension of the standard model of particle physics in its almost-commutative formulation. This extension is guided by the minimal approach to almost-commutative geometries employed in [13], although the model presented here is not minimal itself. The corresponding almost-commutative geometry leads to a Yang-Mills-Higgs model which consists of the standard model and two new fermions of opposite electro-magnetic charge which may possess a new colour like gauge group. As a new phenomenon, grand unification is no longer required by the spectral action.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 08:02:58 GMT" }, { "version": "v2", "created": "Mon, 2 Jul 2007 14:27:30 GMT" } ]
2008-11-26T00:00:00
[ [ "Stephan", "Christoph A.", "" ] ]
0706.0596
Dremin
I.M. Dremin
Cherenkov gluons (predictions and proposals)
19 pages, 4 figures, Appendix added
Int.J.Mod.Phys.A22:3087-3104,2007
10.1142/S0217751X07036920
null
hep-ph nucl-th
null
The coherent hadron production analogous to Cherenkov radiation of photons gives rise to the ring-like events. Being projected on the ring diameter they produce the two-bump structure recently observed for the away-side jets at RHIC. The position of the peaks and their height determine such properties of the hadronic medium as its nuclear refractive index, the parton density, the free path length and the energy loss of Cherenkov gluons. Cherenkov gluons may be responsible for the asymmetry of dilepton mass spectra near rho-meson observed in experiment. Beside comparatively low energy gluons observed at RHIC, there could be high energy gluons at LHC, related to the high energy region of positive real part of the forward scattering amplitude and possessing different characteristics. This would allow to scan (x, Q^2)-plane determining the parton densities in its various regions.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 08:05:02 GMT" }, { "version": "v2", "created": "Mon, 11 Jun 2007 08:40:00 GMT" } ]
2008-11-26T00:00:00
[ [ "Dremin", "I. M.", "" ] ]
0706.0597
Elena Zemlyanaya Dr
K.V.Lukyanov, E.V.Zemlyanaya, I.N.Kuchtina, V.K.Lukyanov, Z.Metawei, K.M.Hanna
Microscopic Approach in Inelastic Heavy-Ions Scattering with Excitation of Nuclear Collective States
9 pages, 4 figures, 1 table
null
null
null
nucl-th
null
In the density distribution of a deformed target-nucleus, the spherical $\lambda = 0$ and the deformed $\lambda = 2$ parts were considered. On this basis, the corresponding potential parts $U_0$ and $U^{(2)}_{int}$ of a double -folding microscopic nucleus-nucleus optical potential are obtained. Then, for these potentials and by using the coupled-channel technique (ECIS), the elastic and inelastic amplitudes are calculated for $^{17}O$ heavy ion scattering on $2^{+}$ collective excited state of various target nuclei. Besides, the same cross-sections are calculated in the frame of an adiabatic approach of the eikonal approximation, where the inelastic amplitude is the linear function of $U^{(2)}_{int}$. Both the obtained results are compared with the experimental data, and also discuss their efficiency in predicting the deformation parameters of nuclei.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 08:10:37 GMT" }, { "version": "v2", "created": "Wed, 6 Jun 2007 07:04:39 GMT" } ]
2007-06-06T00:00:00
[ [ "Lukyanov", "K. V.", "" ], [ "Zemlyanaya", "E. V.", "" ], [ "Kuchtina", "I. N.", "" ], [ "Lukyanov", "V. K.", "" ], [ "Metawei", "Z.", "" ], [ "Hanna", "K. M.", "" ] ]
0706.0598
Peter Kuchment
Mark Agranovsky and Peter Kuchment
Uniqueness of reconstruction and an inversion procedure for thermoacoustic and photoacoustic tomography
null
P. Kuchment and M. Agranovsky, Uniqueness of reconstruction and an inversion procedure for thermoacoustic and photoacoustic tomography, Inverse Problems 23 (2007) 2089-2102.
10.1088/0266-5611/23/5/016
null
math.NA math-ph math.AP math.MP
null
The paper contains a simple approach to reconstruction in Thermoacoustic and Photoacoustic Tomography. The technique works for any geometry of point detectors placement and for variable sound speed satisfying a non-trapping condition. A uniqueness of reconstruction result is also obtained.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 08:24:41 GMT" } ]
2009-11-13T00:00:00
[ [ "Agranovsky", "Mark", "" ], [ "Kuchment", "Peter", "" ] ]
0706.0599
Yoav Moriah
Martin Lustig and Yoav Moriah
High distance Heegaard splittings via fat train tracks
25 pages no figures. to appear in Proceedings of "Knots Groups and 3-manifolds" Marseilles France 2006
null
null
null
math.GT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We define "fat" train tracks and use them to give a combinatorial criterion for the Hempel distance of Heegaard splittings for closed orientable 3-manifolds. We apply this criterion to 3-manifolds obtained from surgery on knots in the three sphere.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 08:30:51 GMT" }, { "version": "v2", "created": "Sun, 6 Jul 2008 12:49:07 GMT" } ]
2008-07-06T00:00:00
[ [ "Lustig", "Martin", "" ], [ "Moriah", "Yoav", "" ] ]
0706.0600
Binoy Talukdar None
Debabrata Pal, Sk. Golam Ali and B. Talukdar
Embedded soliton solutions : A variational study
4 pages, 2 figures
null
null
null
nlin.SI
null
We use a variational method to construct soliton solutions for systems characterized by opposing dispersion and competing nonlinearities at fundamental and second harmonics. We show that both ordinary and embedded solitons tend to gain energy when the second harmonic field becomes weaker than the first harmonic field.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 08:34:53 GMT" } ]
2007-06-06T00:00:00
[ [ "Pal", "Debabrata", "" ], [ "Ali", "Sk. Golam", "" ], [ "Talukdar", "B.", "" ] ]
0706.0601
Mauro Antezza Mr
Mauro Antezza, Franco Dalfovo, Lev P. Pitaevskii, Sandro Stringari
Dark solitons in a superfluid Fermi gas
5 pages, 3 figures
Phys. Rev. A 76, 043610 (2007)
10.1103/PhysRevA.76.043610
null
cond-mat.stat-mech cond-mat.supr-con
null
We investigate the behavior of dark solitons in a superfluid Fermi gas along the BCS-BEC crossover by solving the Bogoliubov - de Gennes equations and looking for real and odd solutions for the order parameter. We show that in the resonance unitary region, where the scattering length is large, the density profile of the soliton has a deep minimum, differently from what happens in the BCS regime. The superfluid gap is found to be significantly quenched by the presence of the soliton due to the occurrence of Andreev fermionic bound states localized near the nodal plane of the order parameter.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 08:36:00 GMT" }, { "version": "v2", "created": "Fri, 12 Oct 2007 08:55:06 GMT" } ]
2011-11-10T00:00:00
[ [ "Antezza", "Mauro", "" ], [ "Dalfovo", "Franco", "" ], [ "Pitaevskii", "Lev P.", "" ], [ "Stringari", "Sandro", "" ] ]
0706.0602
Paolo Calvani
A. Nucara (1), P. Maselli (1), M. Del Bufalo (1), M. Cestelli Guidi (2), J. Garcia (3), P. Orgiani (4), L. Maritato (4), and P. Calvani (1) ((1) CNR-INFM and Universita' La Sapienza, Roma, Italy (2) LNF-INFN, Frascati, Italy (3) Universidad de Zaragoza, Spain (4) CNR-INFM and Universita' di Salerno, Italy)
Effect of Mn substitution by Ga on the optical properties of a metallic manganite
8 pages including 7 figures
Phys. Rev. B 77, 064431 (2008)
10.1103/PhysRevB.77.064431
null
cond-mat.str-el
null
In a metallic manganite like La(2/3)Sr(1/3)MnO(3), the substitution of Mn(+3) by Ga(+3) dilutes the ferromagnetic order and locally cancels the Jahn-Teller distortion, without heavily affecting the crystal structure. One can thus follow the changes in the charge dynamics induced by Ga, until the ferro-metallic manganite is turned into an insulator. Here this phenomenon is studied in detail through the infrared reflectivity of five samples of La(2/3)Sr(1/3)Mn(1-x)Ga(x)O(3), with x increasing from 0 to 0.30 and for 50 < T < 320 K. A simple model which links the measured optical parameters to the magnetization M(x, T) well describes the behavior of the plasma frequency, the scattering rate, and the mid-infrared absorption along the metal-to-insulator transition.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 08:39:20 GMT" } ]
2009-11-13T00:00:00
[ [ "Nucara", "A.", "" ], [ "Maselli", "P.", "" ], [ "Del Bufalo", "M.", "" ], [ "Guidi", "M. Cestelli", "" ], [ "Garcia", "J.", "" ], [ "Orgiani", "P.", "" ], [ "Maritato", "L.", "" ], [ "Calvani", "P.", "" ] ]
0706.0603
Sergey Solodukhin N.
G. W. Gibbons and S. N. Solodukhin
The Geometry of Large Causal Diamonds and the No Hair Property of Asymptotically de-Sitter Spacetimes
13 pages, 2 figures, Latex; references added
Phys.Lett.B652:103-110,2007
10.1016/j.physletb.2007.06.073
null
hep-th astro-ph gr-qc math.DG
null
In a previous paper we obtained formulae for the volume of a causal diamond or Alexandrov open set $I^+(p) \cap I^-(q)$ whose duration $\tau(p,q) $ is short compared with the curvature scale. In the present paper we obtain asymptotic formulae valid when the point $q$ recedes to the future boundary ${\cal I}^+$ of an asymptotically de-Sitter spacetime. The volume (at fixed $\tau$) remains finite in this limit and is given by the universal formula $V(\tau) = {4\over 3}\pi (2\ln \cosh{\tau\over 2}-\tanh^2{\tau\over 2})$ plus corrections (given by a series in $e^{-t_q}$) which begin at order $e^{-4t_q}$. The coefficents of the corrections depend on the geometry of ${\cal I}^+$. This behaviour is shown to be consistent with the no-hair property of cosmological event horizons and with calculations of de-Sitter quasinormal modes in the literature.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 08:52:14 GMT" }, { "version": "v2", "created": "Tue, 12 Jun 2007 09:55:50 GMT" } ]
2008-11-26T00:00:00
[ [ "Gibbons", "G. W.", "" ], [ "Solodukhin", "S. N.", "" ] ]
0706.0604
Wilberd van der Kallen
Vasudevan Srinivas and Wilberd van der Kallen
Finite Schur filtration dimension for modules over an algebra with Schur filtration
22 pages; final version
Transformation Groups, Vol. 14, No. 3, 2009, pp. 695-711
10.1007/S00031-009-9054-0
null
math.RT math.AG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Let G be GL_N or SL_N as reductive linear algebraic group over a field k of positive characteristic p. We prove several results that were previously established only when N < 6 or p > 2^N. Let G act rationally on a finitely generated commutative k-algebra A. Assume that A as a G-module has a good filtration or a Schur filtration. Let M be a noetherian A-module with compatible G action. Then M has finite good/Schur filtration dimension, so that there are at most finitely many nonzero H^i(G,M). Moreover these H^i(G,M) are noetherian modules over the ring of invariants A^G. Our main tool is a resolution involving Schur functors of the ideal of the diagonal in a product of Grassmannians.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 08:54:27 GMT" }, { "version": "v2", "created": "Thu, 15 May 2008 12:29:19 GMT" }, { "version": "v3", "created": "Fri, 7 Nov 2008 15:40:59 GMT" } ]
2009-09-29T00:00:00
[ [ "Srinivas", "Vasudevan", "" ], [ "van der Kallen", "Wilberd", "" ] ]
0706.0605
Shintaro Ishiwata
Shintaro Ishiwata, Wataru Kobayashi, Ichiro Terasaki, Kenichi Kato, Masaki Takata
Structure-Property Relationship in the Ordered-Perovskite- Related Oxide Sr3.12Er0.88Co4O10.5
to be published in Phys. Rev. B Rapid Communication
Phys. Rev. B 75, 220406(R) (2007)
10.1103/PhysRevB.75.220406
null
cond-mat.str-el cond-mat.mtrl-sci
null
Synchrotron X-ray diffraction patterns were measured and analyzed for a polycrystalline sample of the room-temperature ferromagnet Sr3.12Er0.88Co4O10.5 from 300 to 650 K, from which two structural phase transitions were found to occur successively. The higher-temperature transition at 509 K is driven by ordering of the oxygen vacancies, which is closely related to the metallic state at high temperatures. The lower-temperature transition at 360 K is of first order, at which the ferromagnetic state suddenly appears with exhibiting a jump in magnetization and resistivity. Based on the refined structure, possible spin and orbital models for the magnetic order are proposed.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 08:57:42 GMT" }, { "version": "v2", "created": "Sat, 23 Jun 2007 12:26:49 GMT" } ]
2009-11-13T00:00:00
[ [ "Ishiwata", "Shintaro", "" ], [ "Kobayashi", "Wataru", "" ], [ "Terasaki", "Ichiro", "" ], [ "Kato", "Kenichi", "" ], [ "Takata", "Masaki", "" ] ]
0706.0606
Attila Andai
Attila Andai
On the geometry of generalized Gaussian distributions
22 pages
Journal of Multivariate Analysis, 100(4):777-793, 2009
null
null
math.PR math.DG
null
In this paper we consider the space of those probability distributions which maximize the $q$-R\'enyi entropy. These distributions have the same parameter space for every $q$, and in the $q=1$ case these are the normal distributions. Some methods to endow this parameter space with Riemannian metric is presented: the second derivative of the $q$-R\'enyi entropy, Tsallis-entropy and the relative entropy give rise to a Riemannian metric, the Fisher-information matrix is a natural Riemannian metric, and there are some geometrically motivated metrics which were studied by Siegel, Calvo and Oller, Lovri\'c, Min-Oo and Ruh. These metrics are different therefore our differential geometrical calculations based on a unified metric, which covers all the above mentioned metrics among others. We also compute the geometrical properties of this metric, the equation of the geodesic line with some special solutions, the Riemann and Ricci curvature tensors and scalar curvature. Using the correspondence between the volume of the geodesic ball and the scalar curvature we show how the parameter $q$ modulates the statistical distinguishability of close points. We show that some frequently used metric in quantum information geometry can be easily recovered from classical metrics.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 09:03:26 GMT" } ]
2017-08-24T00:00:00
[ [ "Andai", "Attila", "" ] ]
0706.0607
Abhijit Banerjee
B.Bagchi
Position-dependent mass models and their nonlinear characterization
8 Pages, Latex version, Two new references are added, To appear in J.Phys.A (Fast Track Communication)
J.Phys.A40:F1041-F1046,2007
10.1088/1751-8113/40/49/F01
null
quant-ph hep-th math-ph math.MP
null
We consider the specific models of Zhu-Kroemer and BenDaniel-Duke in a sech$^{2}$-mass background and point out interesting correspondences with the stationary 1-soliton and 2-soliton solutions of the KdV equation in a supersymmetric framework.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 09:03:40 GMT" }, { "version": "v2", "created": "Tue, 6 Nov 2007 10:33:53 GMT" } ]
2008-11-26T00:00:00
[ [ "Bagchi", "B.", "" ] ]
0706.0608
Matteo Petrera
Fabio Musso, Matteo Petrera
A class of bi-Hamiltonian systems associated with deformed Reyman-Semenov-Tian-Shansky tensors
This paper has been withdrawn
null
null
null
math-ph math.MP
null
This paper has been withdrawn. The authors realized that the obtained results were not new.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 09:03:40 GMT" }, { "version": "v2", "created": "Fri, 5 Oct 2007 14:41:38 GMT" } ]
2011-11-10T00:00:00
[ [ "Musso", "Fabio", "" ], [ "Petrera", "Matteo", "" ] ]
0706.0609
Capponi Sylvain
S. Capponi, G. Roux, P. Lecheminant, P. Azaria, E. Boulat, S. R. White
Molecular superfluid phase in systems of one-dimensional multicomponent fermionic cold atoms
published version
Phys. Rev. A 77, 013624 (2008)
10.1103/PhysRevA.77.013624
null
cond-mat.str-el
null
We study a simple model of N-component fermions with contact interactions which describes fermionic atoms with N=2F+1 hyperfine states loaded into a one-dimensional optical lattice. We show by means of analytical and numerical approaches that, for attractive interaction, a quasi-long-range molecular superfluid phase emerges at low density. In such a phase, the pairing instability is strongly suppressed and the leading instability is formed from bound-states made of N fermions. At small density, the molecular superfluid phase is generic and exists for a wide range of attractive contact interactions without an SU(N) symmetry between the hyperfine states.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 09:08:17 GMT" }, { "version": "v2", "created": "Mon, 11 Feb 2008 09:04:08 GMT" } ]
2011-10-13T00:00:00
[ [ "Capponi", "S.", "" ], [ "Roux", "G.", "" ], [ "Lecheminant", "P.", "" ], [ "Azaria", "P.", "" ], [ "Boulat", "E.", "" ], [ "White", "S. R.", "" ] ]
0706.0610
Dori Reichmann
Micha Berkooz, Zohar Komargodski, and Dori Reichmann
Thermal AdS(3), BTZ and competing winding modes condensation
40 pages, 5 figures, JHEP3 format. v2: added references, minor corrections and clarifications
JHEP 0712:020,2007
10.1088/1126-6708/2007/12/020
WIS/06/07-JUN-DPP
hep-th
null
We study the thermal physics of AdS(3) and the BTZ black hole when embedded in String theory. The exact calculation of the Hagedorn temperature in TAdS(3) is reinterpreted as the appearance of a winding tachyon both in AdS(3) and BTZ. We construct a dual framework for analyzing the phases of the system. In this dual framework, tachyon condensation and geometric capping appear on the same footing, bridging the usual gap of connecting tachyon condensation to modifications of geometry. This allows us to construct in a natural way a candidate for the unstable phase, analogous to a small black hole in higher dimensions. Additional peculiar effects associated with the Hagedorn temperature and the Hawking-Page transition, some to do with the asymptotic structure of AdS(3) and some with strong curvature effects, are analyzed and explained.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 14:30:04 GMT" }, { "version": "v2", "created": "Fri, 14 Sep 2007 12:05:46 GMT" } ]
2009-04-17T00:00:00
[ [ "Berkooz", "Micha", "" ], [ "Komargodski", "Zohar", "" ], [ "Reichmann", "Dori", "" ] ]
0706.0611
Remco Hofstad van der
Remco van der Hofstad, Mark Holmes, Gordon Slade
An extension of the inductive approach to the lace expansion
null
null
null
null
math.PR
null
We extend the inductive approach to the lace expansion, previously developed to study models with critical dimension 4, to be applicable more generally. In particular, the result of this note has recently been used to prove Gaussian asymptotic behaviour for the Fourier transform of the two-point function for sufficiently spread-out lattice trees in dimensions d>8, and it is potentially also applicable to percolation in dimensions d>6.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 09:35:09 GMT" } ]
2007-06-06T00:00:00
[ [ "van der Hofstad", "Remco", "" ], [ "Holmes", "Mark", "" ], [ "Slade", "Gordon", "" ] ]
0706.0612
Michael Pawellek
Michael Pawellek
Quasi-doubly periodic solutions to a generalized Lame equation
15 pages,1 table, accepted for publication in Journal of Physics A
J. Phys. A 40, 7673 (2007)
10.1088/1751-8113/40/27/016
FAU-TP3-07/04
math-ph hep-th math.MP
null
We consider the algebraic form of a generalized Lame equation with five free parameters. By introducing a generalization of Jacobi's elliptic functions we transform this equation to a 1-dim time-independent Schroedinger equation with (quasi-doubly) periodic potential. We show that only for a finite set of integral values for the five parameters quasi-doubly periodic eigenfunctions expressible in terms of generalized Jacobi functions exist. For this purpose we also establish a relation to the generalized Ince equation.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 09:45:25 GMT" } ]
2012-10-02T00:00:00
[ [ "Pawellek", "Michael", "" ] ]
0706.0613
Paul Clark Dr
Paul C. Clark and Simon C. O. Glover and Ralf S. Klessen
The First Stellar Cluster
9 pages, 6 figures. Accepted by ApJ for publication
AIP Conf.Proc.990:79-81,2008
10.1063/1.2905678
null
astro-ph
null
We report results from numerical simulations of star formation in the early universe that focus on gas at very high densities and very low metallicities. We argue that the gas in the central regions of protogalactic halos will fragment as long as it carries sufficient angular momentum. Rotation leads to the build-up of massive disk-like structures which fragment to form protostars. At metallicities Z ~ 10^-5 Zsun, dust cooling becomes effective and leads to a sudden drop of temperature at densities above n = 10^12 cm^-3. This induces vigorous fragmentation, leading to a very densely-packed cluster of low-mass stars. This is the first stellar cluster. The mass function of stars peaks below 1 Msun, similar to what is found in the solar neighborhood, and comparable to the masses of the very-low metallicity subgiant stars recently discovered in the halo of our Milky Way. We find that even purely primordial gas can fragment at densities 10^14 cm^-3 < n < 10^16 cm^-3, although the resulting mass function contains only a few objects (at least a factor of ten less than the Z = 10^-5 Zsun mass function), and is biased towards higher masses. A similar result is found for gas with Z = 10^-6 Zsun. Gas with Z <= 10^-6 Zsun behaves roughly isothermally at these densities (with polytropic exponent gamma ~ 1.06) and the massive disk-like structures that form due to angular momentum conservation will be marginally unstable. As fragmentation is less efficient, we expect stars with Z <= 10^-6 Zsun to be massive, with masses in excess of several tens of solar masses, consistent with the results from previous studies.
[ { "version": "v1", "created": "Tue, 5 Jun 2007 09:41:56 GMT" }, { "version": "v2", "created": "Mon, 15 Oct 2007 13:03:12 GMT" } ]
2009-06-23T00:00:00
[ [ "Clark", "Paul C.", "" ], [ "Glover", "Simon C. O.", "" ], [ "Klessen", "Ralf S.", "" ] ]