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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Detalles Bibliográficos
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
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. © 2016 American Physical Society.

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