English

$\mu PT$ statistical ensemble: systems with fluctuating energy, particle number, and volume

Statistical Mechanics 2021-07-26 v1

Abstract

Within the theory of statistical ensemble, the so-called μPT\mu PT 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.

Keywords

Cite

@article{arxiv.2011.05141,
  title  = {$\mu PT$ statistical ensemble: systems with fluctuating energy, particle number, and volume},
  author = {Ugo Marzolino},
  journal= {arXiv preprint arXiv:2011.05141},
  year   = {2021}
}