Canonical equilibrium distribution derived from Helmholtz potential

Thomas Oikonomou, G. Baris Bagci, Ugur Tirnakli

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


Plastino and Curado [A. Plastino, E.M.F. Curado, Phys. Rev. E 72 (2005) 047103] recently determined the equilibrium probability distribution for the canonical ensemble using only phenomenological thermodynamical laws as an alternative to the entropy maximization procedure of Jaynes. In the current paper we present another alternative derivation of the canonical equilibrium probability distribution, which is based on the definition of the Helmholtz free energy (and its being constant at the equilibrium) and the assumption of the uniqueness of the equilibrium probability distribution. Noting that this particular derivation is applicable for all trace-form entropies, we also apply it to the Tsallis entropy, showing that the Tsallis entropy yields genuine inverse power laws.

Original languageEnglish
Pages (from-to)6386-6389
Number of pages4
JournalPhysica A: Statistical Mechanics and its Applications
Issue number24
Publication statusPublished - Dec 15 2012
Externally publishedYes


  • Canonical equilibrium distribution
  • Helmholtz free energy
  • Tsallis entropy

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics


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