Phase transition in an interacting Bose system. An application of the theory of Ventsel' and Freidlin

Bálint Tóth

Research output: Contribution to journalArticle

Abstract

We consider a system of N bosons on a complete graph with V vertices interacting through hard core repulsion. With the use of the Ventsel'-Freidlin large-deviation theory of random perturbation of dynamical systems, we calculate the canonical free energy in the thermodynamic limit and prove that the system exhibits a phase transition. © 1990 Plenum Publishing Corporation.

Original languageEnglish
Pages (from-to)749-764
Number of pages16
JournalJournal of Statistical Physics
Volume61
Issue number3-4
DOIs
Publication statusPublished - Nov 1990

Keywords

  • Base-Einstein statistics
  • large deviations
  • phase transition

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