alpha-boson gas model based on alpha-additive entropy

Chung W. S., Hassanabadi H., LÜTFÜOĞLU B. C.

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, vol.2021, no.5, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2021 Issue: 5
  • Publication Date: 2021
  • Doi Number: 10.1088/1742-5468/abf5d6
  • Journal Name: JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, INSPEC, zbMATH
  • Keywords: fractional statistics, quantum gases, MECHANICS, ALGEBRA
  • Akdeniz University Affiliated: Yes

Abstract

In this paper, we consider the grand partition function for an alpha-boson gas. First, we revisit the thermodynamic laws and functions in this formalism. Then, we explore alpha-boson gas condensation and show that the critical temperature at which alpha-boson condensation begins depends on the shape of the container. In particular, we compute the critical temperature for a cubic container. Finally, we discuss the alpha-deformed virial expansion for alpha-boson gas.