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On a probabilistic derivation of the basic particle statistics (Bose–Einstein, Fermi–Dirac, canonical, grand-canonical, intermediate) and related distributions
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Kolokoltsov, Vassili N. (2022) On a probabilistic derivation of the basic particle statistics (Bose–Einstein, Fermi–Dirac, canonical, grand-canonical, intermediate) and related distributions. Transactions of the Moscow Mathematical Society, 82 . pp. 77-87. doi:10.1090/mosc/316 ISSN 0077-1554.
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Official URL: http://dx.doi.org/10.1090/mosc/316
Abstract
Combining intuitive probabilistic assumptions with the basic laws of classical thermodynamics, using the latter to express probabilistic parameters in terms of the thermodynamic quantities, we get a simple unified derivation of the fundamental ensembles of statistical physics avoiding any limiting procedures, quantum hypothesis and even statistical entropy maximization. This point of view also leads to some related classes of correlated particle statistics.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Transactions of the Moscow Mathematical Society | ||||
Publisher: | American Mathematical Society | ||||
ISSN: | 0077-1554 | ||||
Official Date: | 15 March 2022 | ||||
Dates: |
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Volume: | 82 | ||||
Page Range: | pp. 77-87 | ||||
DOI: | 10.1090/mosc/316 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Copyright Holders: | © Copyright 2021 V. N. Kolokoltsov |
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