1,979 research outputs found
A Generalized Circle Theorem on Zeros of Partition Function at Asymmetric First Order Transitions
We present a generalized circle theorem which includes the Lee-Yang theorem
for symmetric transitions as a special case. It is found that zeros of the
partition function can be written in terms of discontinuities in the
derivatives of the free energy. For asymmetric transitions, the locus of the
zeros is tangent to the unit circle at the positive real axis in the
thermodynamic limit. For finite-size systems, they lie off the unit circle if
the partition functions of the two phases are added up with unequal prefactors.
This conclusion is substantiated by explicit calculation of zeros of the
partition function for the Blume-Capel model near and at the triple line at low
temperatures.Comment: 10 pages, RevTeX. To be published in PRL. 3 Figures will be sent upon
reques
Yield Strength Analysis by Small Punch Test Using Inverse Finite Element Method
AbstractConsidering the change of material behavior in in-service component due to temperature, loading and irradiation, several micro-specimen techniques have been proposed to describe deformation and fracture behaviors of materials under different conditions. This paper investigates the mechanical characterization of materials by the experimental and numerical method of small punch test. A two-dimensional finite element model was established to simulate the deformation behavior of X80. The resulting Load-Displacement curve contains key information about the mechanical properties of the tested materials. Thus, an application of inverse finite element method was used in the investigation of mechanical properties of materials which have been tested by small punch test. The difference between experiment and simulation curves was defined as objective function based upon the calculation model established by ABAQUS and MATLAB procedure. Finally, the estimated results suggested confidence in the analysis of the inverse finite element method for material's yield strength
Spin-Hall effect with quantum group symmetry
We construct a model of spin-Hall effect on a noncommutative 4 sphere with
isospin degrees of freedom (coming from a noncommutative instanton) and
invariance under a quantum orthogonal group. The corresponding representation
theory allows to explicitly diagonalize the Hamiltonian and construct the
ground state; there are both integer and fractional excitations. Similar models
exist on higher dimensional noncommutative spheres and noncommutative
projective spaces.Comment: v2: 14 pages, latex. Several changes and additional material; two
extra sections added. To appear in LMP. Dedicated to Rafael Sorkin with
friendship and respec
Exact Zeros of the Partition Function for a Continuum System with Double Gaussian Peaks
We calculate the exact zeros of the partition function for a continuum system
where the probability distribution for the order parameter is given by two
asymmetric Gaussian peaks. When the positions of the two peaks coincide, the
two separate loci of zeros which used to give first-order transition touch each
other, with density of zeros vanishing at the contact point on the positive
real axis. Instead of the second-order transition of Ehrenfast classification
as one might naively expect, one finds a critical behavior in this limit.Comment: 13 pages, 6 figures, revtex, minor changes in fig.2, to be published
in Physical Review
Nondissipative Drag Conductance as a Topological Quantum Number
We show in this paper that the boundary condition averaged nondissipative
drag conductance of two coupled mesoscopic rings with no tunneling, evaluated
in a particular many-particle eigenstate, is a topological invariant
characterized by a Chern integer. Physical implications of this observation are
discussed.Comment: 4 pages, no figure. Title modified and significant revision made to
the text. Final version appeared in PR
Quantum Locality
It is argued that while quantum mechanics contains nonlocal or entangled
states, the instantaneous or nonlocal influences sometimes thought to be
present due to violations of Bell inequalities in fact arise from mistaken
attempts to apply classical concepts and introduce probabilities in a manner
inconsistent with the Hilbert space structure of standard quantum mechanics.
Instead, Einstein locality is a valid quantum principle: objective properties
of individual quantum systems do not change when something is done to another
noninteracting system. There is no reason to suspect any conflict between
quantum theory and special relativity.Comment: Introduction has been revised, references added, minor corrections
elsewhere. To appear in Foundations of Physic
Singularites at a Dense Set of Temperature in Husimi Tree
We investigate complex temperature singularities of the three-site
interacting Ising model on the Husimi tree in the presentce of magnetic field.
We show that at certain magnetic field these singularities lie at a dense set
and as a consequence the phase transition condensation take place.Comment: ps file, 10 page
Numerical Test of Disk Trial Wave function for Half-Filled Landau Level
The analyticity of the lowest Landau level wave functions and the relation
between filling factor and the total angular momentum severely limits the
possible forms of trial wave functions of a disk of electrons subject to a
strong perpendicular magnetic field. For N, the number of electrons, up to 12
we have tested these disk trial wave functions for the half filled Landau level
using Monte Carlo and exact diagonalization methods. The agreement between the
results for the occupation numbers and ground state energies obtained from
these two methods is excellent. We have also compared the profile of the
occupation number near the edge with that obtained from a field-theoretical
method. The results give qualitatively identical edge profiles. Experimental
consequences are briefly discussed.Comment: To be published in Phys. Rev. B. 9 pages, 6 figure
Susceptibility of the Spin 1/2 Heisenberg Antiferromagnetic Chain
Highly accurate results are presented for the susceptibility, of
the Heisenberg antiferromagnetic chain for all temperatures, using the
Bethe ansatz and field theory methods. After going through a rounded peak,
approaches its asympotic zero-temperature value with infinite slope.Comment: 8 pages and 3 postscript figures appended (uuencoded), Revtex, Report
#:UBCTP-94-00
Thermodynamical Bethe Ansatz and Condensed Matter
The basics of the thermodynamic Bethe ansatz equation are given. The simplest
case is repulsive delta function bosons, the thermodynamic equation contains
only one unknown function. We also treat the XXX model with spin 1/2 and the
XXZ model and the XYZ model. This method is very useful for the investigation
of the low temperature thermodynamics of solvable systems.Comment: 52 pages, 6 figures, latex, lamuphys.st
- …