On the Merit of a Central Limit Theorem-basedApproximation in Statistical Physics

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Abstract

The applicability conditions of a recently reported Central Limit Theorem-basedapproximation method in statistical physics are investigated and rigorously determined. The failure of this method at low and intermediate temperature is proved as well as its inadequacy to disclose quantum criticalities at fixed temperatures. Its high temperature predictions are in addition shown to coincide with those stemming from straightforward appropriate expansionsup to (k_B T)^(−2). Our results are clearly illustrated by comparing the exact and approximate temperature dependence of the free energy of some exemplary physical system.
Lingua originaleEnglish
pagine (da-a)1274-1287
Numero di pagine14
RivistaJournal of Statistical Physics
Volume146
Stato di pubblicazionePublished - 2012

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All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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