Vv. Flambaum et Fm. Izrailev, DISTRIBUTION OF OCCUPATION NUMBERS IN FINITE FERMI SYSTEMS AND ROLE OF INTERACTION IN CHAOS AND THERMALIZATION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(1), 1997, pp. 13-16
A method is developed for calculation of single-particle occupation nu
mbers in finite Fermi systems of interacting particles. It is more acc
urate than the canonical distribution method and gives the Fermi-Dirac
distribution in the limit of large number of particles. It is shown t
hat statistical effects of the interaction are absorbed by an increase
of the effective temperature. Criteria for quantum chaos and statisti
cal equilibrium are considered. All results are confirmed by numerical
experiments in the two-body random interaction model.