1,635 research outputs found
Thermodynamic Properties of Kagome Antiferromagnets with different Perturbations
We discuss the results of several small perturbations to the thermodynamic
properties of Kagome Lattice Heisenberg Model (KLHM) at high and intermediate
temperatures, including Curie impurities, dilution, in-plane and out of plane
Dzyaloshinski-Moria (DM) anisotropies and exchange anisotropy. We examine the
combined role of Curie impurities and dilution in the behavior of uniform
susceptibility. We also study the changes in specific heat and entropy with
various anisotropies. Their relevance to newly discovered materials
ZnCu3(OH)6Cl2 is explored. We find that the magnetic susceptibility is well
described by about 6 percent impurity and dilution. We also find that the
entropy difference between the material and KLHM is well described by the DM
parameter D_z/J~0.1.Comment: 6 pages, 3 figures, proceedings of the HFM 2008 Conferenc
Asteroseismic effects in close binary stars
Turbulent processes in the convective envelopes of the sun and stars have
been shown to be a source of internal acoustic excitations. In single stars,
acoustic waves having frequencies below a certain cutoff frequency propagate
nearly adiabatically and are effectively trapped below the photosphere where
they are internally reflected. This reflection essentially occurs where the
local wavelength becomes comparable to the pressure scale height. In close
binary stars, the sound speed is a constant on equipotentials, while the
pressure scale height, which depends on the local effective gravity, varies on
equipotentials and may be much greater near the inner Lagrangian point (L_1).
As a result, waves reaching the vicinity of L_1 may propagate unimpeded into
low density regions, where they tend to dissipate quickly due to non-linear and
radiative effects. We study the three dimensional propagation and enhanced
damping of such waves inside a set of close binary stellar models using a WKB
approximation of the acoustic field. We find that these waves can have much
higher damping rates in close binaries, compared to their non-binary
counterparts. We also find that the relative distribution of acoustic energy
density at the visible surface of close binaries develops a ring-like feature
at specific acoustic frequencies and binary separations
Searching for a trail of evidence in a maze
Consider a graph with a set of vertices and oriented edges connecting pairs
of vertices. Each vertex is associated with a random variable and these are
assumed to be independent. In this setting, suppose we wish to solve the
following hypothesis testing problem: under the null, the random variables have
common distribution N(0,1) while under the alternative, there is an unknown
path along which random variables have distribution , , and
distribution N(0,1) away from it. For which values of the mean shift can
one reliably detect and for which values is this impossible? Consider, for
example, the usual regular lattice with vertices of the form and oriented edges , where . We show that for paths of length starting at
the origin, the hypotheses become distinguishable (in a minimax sense) if
, while they are not if . We derive
equivalent results in a Bayesian setting where one assumes that all paths are
equally likely; there, the asymptotic threshold is . We
obtain corresponding results for trees (where the threshold is of order 1 and
independent of the size of the tree), for distributions other than the Gaussian
and for other graphs. The concept of the predictability profile, first
introduced by Benjamini, Pemantle and Peres, plays a crucial role in our
analysis.Comment: Published in at http://dx.doi.org/10.1214/07-AOS526 the Annals of
Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical
Statistics (http://www.imstat.org
Searching for Large Scale Structure in Deep Radio Surveys
(Abridged Abstract) We calculate the expected amplitude of the dipole and
higher spherical harmonics in the angular distribution of radio galaxies. The
median redshift of radio sources in existing catalogues is z=1, which allows us
to study large scale structure on scales between those accessible to present
optical and infrared surveys, and that of the Cosmic Microwave Background
(CMB). The dipole is due to 2 effects which turn out to be of comparable
magnitude: (i) our motion with respect to the CMB, and (ii) large scale
structure, parameterised here by a family of Cold Dark Matter power-spectra. We
make specific predictions for the Green Bank (87GB) and Parkes-MIT-NRAO (PMN)
catalogues. For these relatively sparse catalogues both the motion and large
scale structure dipole effects are expected to be smaller than the Poisson
shot-noise. However, we detect dipole and higher harmonics in the combined
87GB-PMN catalogue which are far larger than expected. We attribute this to a 2
% flux mismatch between the two catalogues. We also investigate the existence
and extent of the Supergalactic Plane in the above catalogues. In a strip of +-
10 deg of the standard Supergalactic equator, we find a 3-sigma detection in
PMN, but only 1-sigma in 87GB.Comment: 15 pages, 5 ps figures, Latex, Submitted to MNRA
Holographic Duals of Long Open Strings
We study the holographic map between long open strings, which stretch between
D-branes separated in the bulk space-time, and operators in the dual boundary
theory. We focus on a generalization of the Sakai-Sugimoto holographic model of
QCD, where the simplest chiral condensate involves an operator of this type.
Its expectation value is dominated by a semi-classical string worldsheet, as
for Wilson loops. We also discuss the deformation of the model by this
operator, and in particular its effect on the meson spectrum. This deformation
can be thought of as a generalization of a quark mass term to strong coupling.
It leads to the first top-down holographic model of QCD with a non-Abelian
chiral symmetry which is both spontaneously and explicitly broken, as in QCD.
Other examples we study include half-supersymmetric open Wilson lines, and
systems of D-branes ending on NS5-branes, which can be analyzed using
worldsheet methods.Comment: 35 pages, 4 figures, harvmac. v2: added reference
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