Misusing the entropy maximization in the jungle of generalized entropies

Thomas Oikonomou, G. Baris Bagci

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)

Abstract

It is well-known that the partition function can consistently be factorized from the canonical equilibrium distribution obtained through the maximization of the Shannon entropy. We show that such a normalized and factorized equilibrium distribution is warranted if and only if the entropy measure I{(p)} has an additive slope i.e. ∂I{(p)}/∂pi when the ordinary linear averaging scheme is used. Therefore, we conclude that the maximum entropy principle of Jaynes should not be used for the justification of the partition functions and the concomitant thermodynamic observables for generalized entropies with non-additive slope subject to linear constraints. Finally, Tsallis and Rényi entropies are shown not to yield such factorized canonical-like distributions.

Original languageEnglish
Pages (from-to)207-211
Number of pages5
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume381
Issue number4
DOIs
Publication statusPublished - Jan 30 2017

Keywords

  • Entropy maximization
  • Factorized canonical distributions
  • Partition function
  • Tsallis/Rényi entropy

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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