Canonical equilibrium distribution derived from Helmholtz potential

Thomas Oikonomou, G. Baris Bagci and Ugur Tirnakli

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 24, 6386-6389

Abstract: 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.

Keywords: Helmholtz free energy; Canonical equilibrium distribution; Tsallis entropy (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:24:p:6386-6389

DOI: 10.1016/j.physa.2012.07.072

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