Critique of multinomial coefficients method for evaluating Tsallis and Rényi entropies

A.S. Parvan

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 24, 5645-5649

Abstract: Oikonomou [Th. Oikonomou, Physica A 386 (2007) 119] has published a calculation which purports to show that the Tsallis and Rényi 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 Rényi statistics.

Keywords: Equilibrium statistical mechanics; Tsallis statistics; Renyi statistics (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:389:y:2010:i:24:p:5645-5649

DOI: 10.1016/j.physa.2010.08.040

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