Thermodynamic Geometry of Deformed Bosons and Fermions

Abstract

We construct the thermodynamic geometry of an ideal q-deformed boson and fermion gas. We investigate some thermodynamic properties such as the stability and statistical interaction. It will be shown that the statistical interaction of q-deformed boson gas is attractive, while it is repulsive for the q-deformed fermion one. Also, we will consider the singular point of the thermodynamic curvature to obtain some new results about the condensation of q-deformed bosons and show that there exist a finite critical phase transition temperature even in low dimensions. It is shown that the thermodynamic curvature of q-deformed boson and fermion quantum gases diverges as a power-law function with respect to temperature at zero temperature limit.

16 pages

References in corpus (4)

• Thermodynamic curvature and phase transitions in Kerr-Newman black holes
• Thermodynamic Geometry of Fractional Statistics
• Ruppeiner Geometry of Anyon Gas
• Nonperturbative Thermodynamic Geometry of Anyon Gas

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• Nonextensive Tsallis statistics in Unruh effect for Dirac neutrinos
• Condensation of an ideal gas with intermediate statistics on the horizon
• Thermodynamic geometry of a kagome Ising model in a magnetic field
• Perturbative Thermodynamic Geometry of Nonextensive Ideal Classical, Bose and Fermi Gases
• $q$-Deformed Einstein equations from entropic force
• Fibonacci Oscillators in the Landau Diamagnetism problem
• Effective approach for taking into account interactions of quasiparticles from the low-temperature behavior of a deformed fermion-gas model
• Effects of bosonic and fermionic $q$-deformation on the entropic gravity
• Stability and anyonic behavior of systems with M-statistics
• Geometry of Quantum Group invariant systems
• Scalar curvature of systems with fractal distribution functions
• Thermodynamic geometry of pure Lovelock black holes
• Intrinsic Attractive and Repulsive Interactions: From Classical to Quantum Gases in the Generalized Maxwell-Boltzmann Distribution
• Hermite polynomials and Fibonacci Oscillators
• Q-boson coherent states and para-Grassmann variables for multi-particle states