ERGODIC CONDITION AND MAGNETIC MODELS-Reference-Cited by-同舟云学术

ERGODIC CONDITION AND MAGNETIC MODELS

Published:2007-05-30 Issue:13n14 Volume:21 Page:2546-2556
ISSN:0217-9792
Container-title:International Journal of Modern Physics B
language:en
Short-container-title:Int. J. Mod. Phys. B

Author:

LEE M. HOWARD¹²

Affiliation:

1. Department of Physics and Astronomy, University of Georgia, Athens, Georgia 30602, USA

2. Korea Institute for Advanced Study, Seoul 130-012, Korea

Abstract

A condition for ergodicity is derived, applicable to a Hermitian many body model in both the classical and quantum domains. Using this ergodic condition, the validity of the ergodic hypothesis is examined in certain solvable 1d magnetic models. A simple but general picture has emerged which shows why the hypothesis can be valid and why it can also fail.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217979207043877

Reference24 articles.

1. P. T. Landsberg, Thermodynamics and statistical mechanics (Dover, New York, 1990) p. 139.

2. Non-ergodicity of phase functions in certain systems

3. Ergodicity, constants of motion, and bounds for susceptibilities

4. Magnetic correlations and neutron scattering

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Dual symplectic classical circuits: An exactly solvable model of many-body chaos;SciPost Physics;2024-02-20

2. Dynamics of the one-dimensional isotropic Heisenberg model with Dzyaloshinskii–Moryia interaction in a random transverse field;Physica A: Statistical Mechanics and its Applications;2020-03

3. ELECTRONIC TRANSPORT IN METALLIC SYSTEMS AND GENERALIZED KINETIC EQUATIONS;International Journal of Modern Physics B;2011-09-30

4. BOGOLIUBOV'S VISION: QUASIAVERAGES AND BROKEN SYMMETRY TO QUANTUM PROTECTORATE AND EMERGENCE;International Journal of Modern Physics B;2010-03-30