Classical statistical mechanics of a few-body interacting spin model
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.
Borgonovi
F
Department of Physics, University of Maryland, College Park, Maryland 20742 and Istituto Nazionale di Fisica della Materia, Unita di Milano, Via Celoria 16, 22100 Milano, Italy and Istituto Nazionale di Fisica Nucleare, Unita di Pavia,
Izrailev
FM