Troublesome aspects of the Renyi-MaxEnt treatment

A. Plastino, M. C. Rocca, and F. Pennini
Phys. Rev. E 94, 012145 – Published 27 July 2016

Abstract

We study in great detail the possible existence of a Renyi-associated thermodynamics, with negative results. In particular, we uncover a hidden relation in Renyi's variational problem (MaxEnt). This relation connects the two associated Lagrange multipliers (canonical ensemble) with the mean energy U and the Renyi parameter α. As a consequence of such relation, we obtain anomalous Renyi-MaxEnt thermodynamic results.

  • Received 14 February 2016
  • Revised 30 May 2016

DOI:https://doi.org/10.1103/PhysRevE.94.012145

©2016 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & Thermodynamics

Authors & Affiliations

A. Plastino1,2,3, M. C. Rocca1,2,4, and F. Pennini5,6

  • 1Departamento de Física, Universidad Nacional de La Plata, Calle 49 s/n, 1900 La Plata, Buenos Aires, Argentina
  • 2Consejo Nacional de Investigaciones Científicas y Tecnológicas (IFLP-CCT-CONICET)-C. C. 727, 1900 La Plata, Argentina
  • 3SThAR–EPFL, Lausanne, Switzerland
  • 4Departamento de Matemática, Universidad Nacional de La Plata, Calle 50 s/n, 1900 La Plata, Buenos Aires, Argentina
  • 5Universidad Católica del Norte, Av. Angamos 0610, Antofagasta, Chile
  • 6Facultad de Ciencias Exactas y Naturales, Universidad Nacional de La Pampa, CONICET Peru 151, 6300 Santa Rosa, La Pampa, Argentina

Comments & Replies

Reply to “Comment on ‘Troublesome aspects of the Renyi-MaxEnt treatment' ”

A. Plastino, M. C. Rocca, and F. Pennini
Phys. Rev. E 96, 056102 (2017)

Comment on “Troublesome aspects of the Renyi-MaxEnt treatment”

Thomas Oikonomou and G. Baris Bagci
Phys. Rev. E 96, 056101 (2017)

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Vol. 94, Iss. 1 — July 2016

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