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

B. Leggio, O. Lychkovskiy, A. Messina

Research output: Contribution to journalArticlepeer-review

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 BT) -2. Our results are clearly illustrated by comparing the exact and approximate temperature dependence of the free energy of some exemplary physical system.

Original languageEnglish
Pages (from-to)1274-1287
Number of pages14
JournalJournal of Statistical Physics
Volume146
Issue number6
DOIs
Publication statusPublished - Mar 2012
Externally publishedYes

Keywords

  • Central Limit Theorem
  • Free energy
  • Ising model
  • Quantum statistical mechanics

Fingerprint

Dive into the research topics of 'On the Merit of a Central Limit Theorem-based Approximation in Statistical Physics'. Together they form a unique fingerprint.

Cite this