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Classical statistical mechanics of a few-body interacting spin model

1999/11/12 by F. Borgonovi, F. M. Izrailev · 1 citation
Physics and Astronomy · #Quantum Mechanics and Applications #Quantum chaos and dynamical systems #Quantum many-body systems #chao-dyn #cond-mat.stat-mech #nlin.CD #physics.class-ph #quant-ph

paper · pdf · doi:10.1103/physreve.62.6475

RevTex, 13 pages including 11 Postscript figures

arxiv created 1999/11/12 · openalex publication_date 2000/11/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

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