Classical statistical mechanics of a few-body interacting spin model
chao-dyn
2009-10-31 v1 Statistical Mechanics
Chaotic Dynamics
Classical Physics
Quantum Physics
Abstract
We study the emergence of Boltzmann's law for the "single particle energy distribution" in a closed system of interacting classical spins. It is shown that for a large number of particles Boltzmann's law may occur, even if the interaction is very strong. Specific attention is paid to classical analogs of the average shape of quantum eigenstates and "local density of states", which are very important in quantum chaology. Analytical predictions are then compared with numerical data.
Keywords
Cite
@article{arxiv.chao-dyn/9911018,
title = {Classical statistical mechanics of a few-body interacting spin model},
author = {F. Borgonovi and F. M. Izrailev},
journal= {arXiv preprint arXiv:chao-dyn/9911018},
year = {2009}
}
Comments
RevTex, 13 pages including 11 Postscript figures