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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Autor principal: Plastino, Angel Luis
Otros Autores: Rocca, M.C, Pennini, Flavia Catalina
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: American Physical Society 2016
Acceso en línea:Registro en Scopus
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100 1 |a Plastino, Angel Luis 
245 1 0 |a Troublesome aspects of the Renyi-MaxEnt treatment 
260 |b American Physical Society  |c 2016 
504 |a Herdman, C.M., Inglis, S., Roy, P.-N., Melko, R.G., Del, A., (2014) Phys. Rev. e, 90, p. 013308. , Maestro 
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504 |a Jaynes, E.T., (1983) Papers on Probability, Statistics and Statistical Physics, , edited by R. D. Rosenkrantz (Reidel, Dordrecht, Holland); 
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504 |a Grandy, W.T., Jr., Milonni, P.W., (1993) Physics and Probability: Essays in Honor of E. T. Jaynes, , (Cambridge University Press, Cambridge, England) 
504 |a Plastino, A., Plastino, A.R., (1997) Phys. Lett. A, 226, p. 257 
504 |a Plastino, A., Rocca, M.C., (2015) Physica A, 436, p. 572 
504 |a Shilov, G.Y., (1965) Mathematical Analysis, , (Pergamon, New York) 
504 |a Tsallis, C., (1988) J. Stat. Phys., 52, p. 479 
504 |a Tsallis, C., (2009) Introduction to Nonextensive Statistical Mechanics: Approaching A Complex World, , (Springer, New York) 
504 |a Gell-Mann, C.M., Tsallis, C., (2004) Nonextensive Entropy: Interdisciplinary Applications, , (Oxford University Press, New York) 
504 |a The (Equation presented) logarithm is defined in the fashion [16] (Equation presented) 
506 |2 openaire  |e Política editorial 
520 3 |a 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.  |l eng 
593 |a Departamento de Física, Universidad Nacional de la Plata, Calle 49 s/n, La Plata, Buenos Aires, Argentina 
593 |a Consejo Nacional de Investigaciones Científicas y Tecnológicas (IFLP-CCT-CONICET), C. C. 727, La Plata, Argentina 
593 |a SThAR-EPFL, Lausanne, Switzerland 
593 |a Departamento de Matemática, Universidad Nacional de la Plata, Calle 50 s/n, La Plata, Buenos Aires, Argentina 
593 |a Universidad Católica Del Norte, Av. Angamos 0610, Antofagasta, Chile 
593 |a Facultad de Ciencias Exactas y Naturales, Universidad Nacional de la Pampa, CONICET Peru 151, Santa Rosa, La Pampa, Argentina 
690 1 0 |a THERMODYNAMICS 
690 1 0 |a CANONICAL ENSEMBLE 
690 1 0 |a MEAN ENERGY 
690 1 0 |a VARIATIONAL PROBLEMS 
690 1 0 |a LAGRANGE MULTIPLIERS 
700 1 |a Rocca, M.C. 
700 1 |a Pennini, Flavia Catalina 
773 0 |d American Physical Society, 2016  |g v. 94  |k n. 1  |x 24700045  |t Phys. Rev. E 
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