Comment on "troublesome aspects of the Renyi-MaxEnt treatment"

Thomas Oikonomou, G. Baris Bagci

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Plastino et al. [Plastino, Phys. Rev. E 94, 012145 (2016)1539-375510.1103/PhysRevE.94.012145] recently stated that the Rényi entropy is not suitable for thermodynamics by using functional calculus, since it leads to anomalous results unlike the Tsallis entropy. We first show that the Tsallis entropy also leads to such anomalous behaviors if one adopts the same functional calculus approach. Second, we note that one of the Lagrange multipliers is set in an ad hoc manner in the functional calculus approach of Plastino et al. Finally, the explanation for these anomalous behaviors is provided by observing that the generalized distributions obtained by Plastino et al. do not yield the ordinary canonical partition function in the appropriate limit and therefore cannot be considered as genuine generalized distributions.

Original languageEnglish
Article number056101
JournalPhysical Review E
Volume96
Issue number5
DOIs
Publication statusPublished - Nov 20 2017

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Functional Calculus
calculus
Maximum Entropy
Anomalous
Tsallis Entropy
entropy
Lagrange multipliers
Partition Function
partitions
Thermodynamics
Entropy
thermodynamics

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Comment on "troublesome aspects of the Renyi-MaxEnt treatment". / Oikonomou, Thomas; Bagci, G. Baris.

In: Physical Review E, Vol. 96, No. 5, 056101, 20.11.2017.

Research output: Contribution to journalArticle

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