Thermostatistics of a q-deformed Relativistic Ideal Fermi Gas

TL;DR

This paper develops a q-deformed relativistic Fermi gas theory, revealing how deformation influences thermodynamic properties and antiparticle dominance, differing significantly from traditional Fermi gases.

Contribution

It introduces a novel q-deformed many-body framework for relativistic Fermi gases, accounting for antiparticle effects and deformation impacts on thermodynamics.

Findings

Deformation parameter q affects chemical potential and particle dominance.

The system shows unique thermodynamic behavior even without interactions.

Antiparticles can become dominant due to q-deformation effects.

Abstract

In this paper, we formulate a q-deformed many-body theory for the relativistic Fermi gas and discuss the effects of the deformation parameter q on physical properties of such systems. Since antiparticle excitations appear in the relativistic regime, a suitable treatment to the choice of deformation parameters for both fermions and antifermions must be carefully taken in order to get a consistent theory. By applying this formulation, we further study the thermostatistic properties of a q-deformed ideal relativistic Fermi gas. It can be shown that even in the noninteracting scenario, the system exhibits interesting characteristics which are significantly different from ordinary Fermi gases. Explicitly, antiparticles may become dominant due to the shift of chemical potential by the deformation parameter q. This may build a solid foundation for the further studies of q-deformed relativistic interacting systems.