Thermodynamic geometry, condensation and Debye model of two-parameter deformed statistics

Mohammadzadeh H., Azizian-Kalandaragh Y., Cheraghpour N., Adli F.

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1088/1742-5468/aa7ee0
  • Dergi Adı: JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Bose-Einstein condensation, classical phase transitions, fractional statistics, quantum gases, RIEMANNIAN GEOMETRY, FRACTIONAL STATISTICS, DIATOMIC-MOLECULES, Q-ANALOGS, PARTICLES, MECHANICS, OSCILLATOR, DIMENSIONS, OPERATORS, SPIN
  • Gazi Üniversitesi Adresli: Hayır

Özet

We consider the statistical distribution function of a two parameter deformed system, namely qp-deformed bosons and fermions. Using a thermodynamic geometry approach, we derive the thermodynamic curvature of an ideal gas with particles obeying qp-bosons and qp-fermions. We show that the intrinsic statistic interaction of qp-bosons is attractive in all physical ranges, while it is repulsive for qp-fermions. Also, the thermodynamic curvature of qp-boson gas is singular at a specified value of fugacity and therefore, a phase transition such as Bose-Einstein condensation can take place. In the following, we compare the experimental and theoretical results of temperature-dependent specific heat capacity of some metallic materials in the framework of q and qp-deformed algebras.