Artículo
Entropy Optimization, Generalized Logarithms, and Duality Relations
Fecha de publicación:
12/2022
Editorial:
Molecular Diversity Preservation International
Revista:
Entropy
ISSN:
1099-4300
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
Several generalizations or extensions of the Boltzmann–Gibbs thermostatistics, based on non-standard entropies, have been the focus of considerable research activity in recent years. Among these, the power-law, non-additive entropies (Formula presented.) have harvested the largest number of successful applications. The specific structural features of the (Formula presented.) thermostatistics, therefore, are worthy of close scrutiny. In the present work, we analyze one of these features, according to which the q-logarithm function (Formula presented.) associated with the (Formula presented.) entropy is linked, via a duality relation, to the q-exponential function characterizing the maximum-entropy probability distributions. We enquire into which entropic functionals lead to this or similar structures, and investigate the corresponding duality relations.
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Citación
Plastino, Ángel Ricardo; Tsallis, Constantino; Wedemann, Roseli S.; Haubold, Hans J.; Entropy Optimization, Generalized Logarithms, and Duality Relations; Molecular Diversity Preservation International; Entropy; 24; 12; 12-2022; 1-13
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