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. © 2016 American Physical Society.
Registro:
Documento: |
Artículo
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Título: | Troublesome aspects of the Renyi-MaxEnt treatment |
Autor: | Plastino, A.; Rocca, M.C.; Pennini, F. |
Filiación: | Departamento de Física, Universidad Nacional de la Plata, Calle 49 s/n, La Plata, Buenos Aires, Argentina Consejo Nacional de Investigaciones Científicas y Tecnológicas (IFLP-CCT-CONICET), C. C. 727, La Plata, Argentina SThAR-EPFL, Lausanne, Switzerland Departamento de Matemática, Universidad Nacional de la Plata, Calle 50 s/n, La Plata, Buenos Aires, Argentina Universidad Católica Del Norte, Av. Angamos 0610, Antofagasta, Chile Facultad de Ciencias Exactas y Naturales, Universidad Nacional de la Pampa, CONICET Peru 151, Santa Rosa, La Pampa, Argentina
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Palabras clave: | Thermodynamics; Canonical ensemble; Mean energy; Variational problems; Lagrange multipliers |
Año: | 2016
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Volumen: | 94
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Número: | 1
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DOI: |
http://dx.doi.org/10.1103/PhysRevE.94.012145 |
Título revista: | Physical Review E
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Título revista abreviado: | Phys. Rev. E
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ISSN: | 24700045
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24700045_v94_n1_p_Plastino |
Referencias:
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Citas:
---------- APA ----------
Plastino, A., Rocca, M.C. & Pennini, F.
(2016)
. Troublesome aspects of the Renyi-MaxEnt treatment. Physical Review E, 94(1).
http://dx.doi.org/10.1103/PhysRevE.94.012145---------- CHICAGO ----------
Plastino, A., Rocca, M.C., Pennini, F.
"Troublesome aspects of the Renyi-MaxEnt treatment"
. Physical Review E 94, no. 1
(2016).
http://dx.doi.org/10.1103/PhysRevE.94.012145---------- MLA ----------
Plastino, A., Rocca, M.C., Pennini, F.
"Troublesome aspects of the Renyi-MaxEnt treatment"
. Physical Review E, vol. 94, no. 1, 2016.
http://dx.doi.org/10.1103/PhysRevE.94.012145---------- VANCOUVER ----------
Plastino, A., Rocca, M.C., Pennini, F. Troublesome aspects of the Renyi-MaxEnt treatment. Phys. Rev. E. 2016;94(1).
http://dx.doi.org/10.1103/PhysRevE.94.012145