2023
DOI: 10.3390/e25040591
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Brief Review on the Connection between the Micro-Canonical Ensemble and the Sq-Canonical Probability Distribution

Abstract: Non-standard thermostatistical formalisms derived from generalizations of the Boltzmann–Gibbs entropy have attracted considerable attention recently. Among the various proposals, the one that has been most intensively studied, and most successfully applied to concrete problems in physics and other areas, is the one associated with the Sq non-additive entropies. The Sq-based thermostatistics exhibits a number of peculiar features that distinguish it from other generalizations of the Boltzmann–Gibbs theory. In p… Show more

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Cited by 4 publications
(2 citation statements)
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“…Acknowledgments: I am deeply indebted to A.R. Plastino as he graciously contributed Section 2.12 within the present effort, thus enlightening the recent paper [100] by himself and his father A. Plastino. I am also very grateful to P. Jizba and J. Korbel for fruitful remarks about Section 2.10.…”
Section: Conflicts Of Interestmentioning
confidence: 86%
See 1 more Smart Citation
“…Acknowledgments: I am deeply indebted to A.R. Plastino as he graciously contributed Section 2.12 within the present effort, thus enlightening the recent paper [100] by himself and his father A. Plastino. I am also very grateful to P. Jizba and J. Korbel for fruitful remarks about Section 2.10.…”
Section: Conflicts Of Interestmentioning
confidence: 86%
“…2.12. Plastino-Plastino 2023 Connection with the Micro-Canonical Ensemble Among trace form entropic measures, the S q non-additive entropies exhibit a special link with the micro-canonical ensemble [99,100]. Systems described by the micro-canonical ensemble usually have parts described by q-exponentials.…”
Section: Plastino-tsallis-wedemann-haubold 2022mentioning
confidence: 99%