Journal of Research on Many-body Systems

Journal of Research on Many-body Systems

Thermodynamic Geometry of an ideal gas with Taam- Dancoff deformed statistics

Document Type : Full length research Paper

Authors
Hosein Mohammadzadeh 1
Zahra Ebadi 1
Ramin Roozedar 2
Mehdi Amiiri 1
1 Department of Physics, University of Mohaghegh Ardabili, Ardabil, Iran
2 Department of Physics, Faculty of Basic Science, Ferdowsi University of Mashhad, Mashhad, Iran
10.22055/jrmbs.2022.17343
Abstract
We consider the thermodynamic properties of a system with particles obeying bosonic and fermionic Taam-Dancoff oscillator algebra. We construct the thermodynamic parameters space and using the metric elements of this space, we work out a quantity which is called the thermodynamic curvature. We will show that the statistical intrinsic interaction of deformed bosons (fermions) is attractive (repulsive) in full physical range and for all values of deformation parameter and deduce that the deformation parameter does not affect the statistical intrinsic interaction. Using the singular points of curvature, we obtain the deformation parameter dependent critical value of fugacity for bosonic system. We show that the singular points coincide with the condensation phase transition points of deformed gas.
Keywords
Taam-Dancoff oscillator
Thermodynamic curvature
Condensation
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Journal of Research on Many-body Systems
Volume 12, Issue 1 - Serial Number 32
spring 2022
Spring 2022
Pages 115-128

  • Receive Date 30 December 2019
  • Revise Date 16 October 2021
  • Accept Date 04 December 2021