Troublesome aspects of the Renyi-MaxEnt treatment

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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 ene...

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Detalles Bibliográficos
Autores principales: Plastino, Ángel Luis, Rocca, Mario Carlos, Pennini, Flavia
Formato: Articulo
Lenguaje:Inglés
Publicado: 2016
Materias:
Física
Ciencias Exactas
Renyi
Variational
Problem
Parameter
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/95672
https://ri.conicet.gov.ar/11336/72012
https://journals.aps.org/pre/abstract/10.1103/PhysRevE.94.012145
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
Descripción
Sumario: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.

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