Classical statistical mechanics of a few-body interacting spin model
arXiv:chao-dyn/9911018 · doi:10.1103/PhysRevE.62.6475
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.
RevTex, 13 pages including 11 Postscript figures
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- Thermodynamic limits of dynamic cooling
- Broken Ergodicity in classically chaotic spin systems
- Single-particle and many-body analyses of a quasiperiodic integrable system after a quench
- Effects of the interplay between initial state and Hamiltonian on the thermalization of isolated quantum many-body systems
- Relaxation and Thermalization of Isolated Many-Body Quantum Systems
- Many-body entropies, correlations, and emergence of statistical relaxation in interaction quench dynamics of ultracold bosons
- The Non--Ergodicity Threshold: Time Scale for Magnetic Reversal
- Work extraction from microcanonical bath
- A semiquantal approach to finite systems of interacting particles