μPT statistical ensemble: systems with fluctuating energy, particle number, and volume

Within the theory of statistical ensemble, the so-called μ P T ensemble describes equilibrium systems that exchange energy, particles, and volume with the surrounding. General, model-independent features of volume and particle number statistics are derived. Non-analytic points of the partition funct...

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Bibliographic Details
Published in:Scientific reports 2021-07, Vol.11 (1), Article 15096
Main Author: Marzolino, Ugo
Format: Article
Language:English
Subjects:
639/766/530/2804
639/766/530/951
Energy
Entropy
Humanities and Social Sciences
multidisciplinary
Science
Science (multidisciplinary)
Statistics
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Summary:Within the theory of statistical ensemble, the so-called μ P T ensemble describes equilibrium systems that exchange energy, particles, and volume with the surrounding. General, model-independent features of volume and particle number statistics are derived. Non-analytic points of the partition function are discussed in connection with divergent fluctuations and ensemble equivalence. Quantum and classical ideal gases, and a model of Bose gas with mean-field interactions are discussed as examples of the above considerations.
ISSN:2045-2322
2045-2322
DOI:10.1038/s41598-021-94013-x