Ensemble equivalence for general many-body systems

Details Ensemble equivalence for general many-body systems Ensemble equivalence for general many-body systems

2011-06-15

arxiv.org/abs/1106.2979v3

Europhys. Lett. 96, 50010, 2011

Physics

Condensed Matter

Statistical Mechanics

v1: 5 pages, 1 figure; v2: minor corrections, references updated; v3: minor corrections, close to version published in EPL

Scientific paper

10.1209/0295-5075/96/50010

It has been proved for a class of mean-field and long-range systems that the concavity of the thermodynamic entropy determines whether the microcanonical and canonical ensembles are equivalent at the level of their equilibrium states, i.e., whether they give rise to the same equilibrium states. Here we show that this correspondence is actually a general result of statistical mechanics: it holds for any many-body system for which equilibrium states can be defined and in principle calculated. The same correspondence applies for other dual statistical ensembles, such as the canonical and grand-canonical ensembles.

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