Nonuniqueness of Canonical Ensemble Theory arising from Microcanonical Basis

Details Nonuniqueness of Canonical Ensemble Theory arising from Microcanonical Basis Nonuniqueness of Canonical Ensemble Theory arising from Microcanonical Basis

1999-11-22

arxiv.org/abs/quant-ph/9911097v2

Phys. Lett. A272, 341 (2000)

Physics

Quantum Physics

13 pages; This is a thoroughly revised version of the original preprint which has now appearted in print. It also corrects sev

Scientific paper

10.1016/S0375-9601(00)00458-8

Given physical systems, counting rule for their statistical mechanical descriptions need not be unique, in general. It is shown that this nonuniqueness leads to the existence of various canonical ensemble theories which equally arise from the definite microcanonical basis. Thus, the Gibbs theorem for canonical ensemble theory is not universal, and the maximum entropy principle is to be appropriately modefied for each physical context.

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