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

Antonino Messina, Bruno Leggio, Lychkovskiy

Risultato della ricerca: Article

Abstract

The applicability conditions of a recently reported Central Limit Theorem-based approximation 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 expansions up 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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Statistical Physics
Central limit theorem
theorems
physics
Criticality
Temperature Dependence
Free Energy
free energy
temperature dependence
temperature
Prediction
predictions

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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On the Merit of a Central Limit Theorem-based Approximation in Statistical Physics. / Messina, Antonino; Leggio, Bruno; Lychkovskiy.

In: Journal of Statistical Physics, Vol. 146, 2012, pag. 1274-1287.

Risultato della ricerca: Article

Messina, A, Leggio, B & Lychkovskiy 2012, 'On the Merit of a Central Limit Theorem-based Approximation in Statistical Physics', Journal of Statistical Physics, vol. 146, pagg. 1274-1287.
Messina A, Leggio B, Lychkovskiy. On the Merit of a Central Limit Theorem-based Approximation in Statistical Physics. Journal of Statistical Physics. 2012;146:1274-1287.
Messina, Antonino ; Leggio, Bruno ; Lychkovskiy. / On the Merit of a Central Limit Theorem-based Approximation in Statistical Physics. In: Journal of Statistical Physics. 2012 ; Vol. 146. pagg. 1274-1287.
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