$$\mu PT$$ μ P T statistical ensemble: systems with fluctuating energy, particle number, and volume
Abstract Within the theory of statistical ensemble, the so-called $$\mu PT$$ 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...
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Nature Portfolio
2021
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oai:doaj.org-article:a6a2fad9d77047b68217f3ab142bf1132021-12-02T16:17:28Z$$\mu PT$$ μ P T statistical ensemble: systems with fluctuating energy, particle number, and volume10.1038/s41598-021-94013-x2045-2322https://doaj.org/article/a6a2fad9d77047b68217f3ab142bf1132021-07-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-94013-xhttps://doaj.org/toc/2045-2322Abstract Within the theory of statistical ensemble, the so-called $$\mu PT$$ 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.Ugo MarzolinoNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-16 (2021) |
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Medicine R Science Q Ugo Marzolino $$\mu PT$$ μ P T statistical ensemble: systems with fluctuating energy, particle number, and volume |
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Abstract Within the theory of statistical ensemble, the so-called $$\mu PT$$ 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. |
| format |
article |
| author |
Ugo Marzolino |
| author_facet |
Ugo Marzolino |
| author_sort |
Ugo Marzolino |
| title |
$$\mu PT$$ μ P T statistical ensemble: systems with fluctuating energy, particle number, and volume |
| title_short |
$$\mu PT$$ μ P T statistical ensemble: systems with fluctuating energy, particle number, and volume |
| title_full |
$$\mu PT$$ μ P T statistical ensemble: systems with fluctuating energy, particle number, and volume |
| title_fullStr |
$$\mu PT$$ μ P T statistical ensemble: systems with fluctuating energy, particle number, and volume |
| title_full_unstemmed |
$$\mu PT$$ μ P T statistical ensemble: systems with fluctuating energy, particle number, and volume |
| title_sort |
$$\mu pt$$ μ p t statistical ensemble: systems with fluctuating energy, particle number, and volume |
| publisher |
Nature Portfolio |
| publishDate |
2021 |
| url |
https://doaj.org/article/a6a2fad9d77047b68217f3ab142bf113 |
| work_keys_str_mv |
AT ugomarzolino muptmptstatisticalensemblesystemswithfluctuatingenergyparticlenumberandvolume |
| _version_ |
1718384248617959424 |