From Random Matrix Theory to Statistical Mechanics - Anyon Gas

Details From Random Matrix Theory to Statistical Mechanics - Anyon Gas From Random Matrix Theory to Statistical Mechanics - Anyon Gas

1996-08-28

arxiv.org/abs/cond-mat/9608144v1

Physics

Condensed Matter

11 pages, Revtex, to appear in Physics Letters B

Scientific paper

10.1016/0370-2693(96)01104-5

Motivated by numerical experiments and studies of quantum systems which are classically chaotic, we take a Random Matrix description of a Hard-sphere gas to Statistical Mechanical description. We apply this to Anyon gas and obtain a formal expression for the momentum distribution. Various limiting situations are discussed and are found in agreement with the well-known results on Hard-sphere gas in low-density regime.

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