Thermodynamic Geometry of Ideal gas with Bose-Dunkl statistics

Ebadi, Zahra; Mohammadzadeh, Hosein; Seifi, Maryam

doi:10.22055/jrmbs.2026.49758.1903

Thermodynamic Geometry of Ideal gas with Bose-Dunkl statistics

Document Type : Full length research Paper

Authors

Zahra Ebadi

Hosein Mohammadzadeh

Maryam Seifi

Department of Physics, University of Mohaghegh Ardabili, Ardabil, Iran

10.22055/jrmbs.2026.49758.1903

Abstract

In this paper, we investigate the thermodynamic geometry of an ideal gas composed of particles obeying the generalized Bose-Dunkl statistics. We first derive the generalized commutation relations for bosonic and fermionic systems with specific parity features using the Dunkl operator. Then, we compute the thermodynamic curvature of these systems and compare it with the ideal Bose gas. The results show that the thermodynamic curvature remains positive for negative values of the Dunkl parameter, similar to the Bose ideal gas, while for positive values of the parameter, the curvature initially becomes negative and then turns positive for values beyond a certain threshold. These results are consistent with the fermionic and bosonic behaviors in these systems. Additionally, the thermodynamic curvature diverges at the fugacity value of z=1 for all values of the Dunkl parameter, similar to the ideal Bose gas

Keywords

Dunkl operator

generalized statistics

Thermodynamic Geometry

Subjects

Thermodynamics and Statistical Mechanics

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