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Statistical ensemble equivalence problem

2007/11/14 by Ludwik Turko, L. Turko, Turko, Ludwik
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Statistical Mechanics (cond-mat.stat-mech) #Statistical Mechanics and Entropy #cond-mat.stat-mech #hep-th

paper · pdf · doi:10.48550/arxiv.0711.2173

5 pages, Talk given at the conference ''New Trends in High Energy Physics'', Crimea 2007, Yalta, 15-22 September 2007

arxiv created 2007/11/14 · openalex publication_date 2007/11/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A problem of the equivalence of statistical ensembles is critically analyzed. It is shown, that although different probability distributions of statistical physics have the same behavior in the thermodynamic limit, there are physical observables -- semi-intensive variables -- which keep memory of the underlying ensembles. This property is an universal one and can be observed even in the simplest case of the grand canonical and canonical ensembles of the classical statistical physics.

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