Troublesome aspects of the Renyi-MaxEnt treatment

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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Autores principales: Plastino, A., Rocca, M.C., Pennini, F.
Formato: JOUR
Materias:
Thermodynamics
Canonical ensemble
Mean energy
Variational problems
Lagrange multipliers
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_24700045_v94_n1_p_Plastino
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_24700045_v94_n1_p_Plastino
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spelling todo:paper_24700045_v94_n1_p_Plastino2023-10-03T16:42:17Z Troublesome aspects of the Renyi-MaxEnt treatment Plastino, A. Rocca, M.C. Pennini, F. Thermodynamics Canonical ensemble Mean energy Variational problems Lagrange multipliers 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. © 2016 American Physical Society. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_24700045_v94_n1_p_Plastino
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Thermodynamics
Canonical ensemble
Mean energy
Variational problems
Lagrange multipliers
spellingShingle Thermodynamics
Canonical ensemble
Mean energy
Variational problems
Lagrange multipliers
Plastino, A.
Rocca, M.C.
Pennini, F.
Troublesome aspects of the Renyi-MaxEnt treatment
topic_facet Thermodynamics
Canonical ensemble
Mean energy
Variational problems
Lagrange multipliers
description 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. © 2016 American Physical Society.
format JOUR
author Plastino, A.
Rocca, M.C.
Pennini, F.
author_facet Plastino, A.
Rocca, M.C.
Pennini, F.
author_sort Plastino, A.
title Troublesome aspects of the Renyi-MaxEnt treatment
title_short Troublesome aspects of the Renyi-MaxEnt treatment
title_full Troublesome aspects of the Renyi-MaxEnt treatment
title_fullStr Troublesome aspects of the Renyi-MaxEnt treatment
title_full_unstemmed Troublesome aspects of the Renyi-MaxEnt treatment
title_sort troublesome aspects of the renyi-maxent treatment
url http://hdl.handle.net/20.500.12110/paper_24700045_v94_n1_p_Plastino
work_keys_str_mv AT plastinoa troublesomeaspectsoftherenyimaxenttreatment
AT roccamc troublesomeaspectsoftherenyimaxenttreatment
AT penninif troublesomeaspectsoftherenyimaxenttreatment
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