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 İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası:
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1088/1742-5468/aa7ee0
  • Dergi Adı: JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

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.