Classical statistical mechanics of a few-body interacting spin model

Details Classical statistical mechanics of a few-body interacting spin model Classical statistical mechanics of a few-body interacting spin model

1999-11-12

arxiv.org/abs/chao-dyn/9911018v1

Physics

Condensed Matter

Statistical Mechanics

RevTex, 13 pages including 11 Postscript figures

Scientific paper

10.1103/PhysRevE.62.6475

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.

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