4.6 Article

Critique of multinomial coefficients method for evaluating Tsallis and Renyi entropies

Journal

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 389, Issue 24, Pages 5645-5649

Publisher

ELSEVIER
DOI: 10.1016/j.physa.2010.08.040

Keywords

Equilibrium statistical mechanics; Tsallis statistics; Renyi statistics

Funding

  1. JINR
  2. IFIN-HH [N 3891-3-09/09, N 4006]
  3. RFBR [08-02-01003-a]
  4. MTA

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Oikonomou [Th. Oikonomou, Physica A 386 (2007) 119] has published a calculation which purports to show that the Tsallis and Renyi entropies can be obtained from the generalized multinomial coefficients. In this paper, we prove that the method of generalized multinomial coefficients failed to determine the Tsallis entropy at equilibrium. Moreover, it is shown that Oikonomou's analysis contains mistakes which led to misleading statements related to the Jaynes principle of maximum entropy, the Tsallis and the Renyi statistics. (C) 2010 Elsevier B.V. All rights reserved.

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