Thermodynamic Parameters for Rotating Ultracold Atomic Fermi Gases
Ebtsam Ali Eid, Ahmed S. Hassan, Alyaa A. Mahmoud
in this paper, the thermodynamic parameters of a rotating ultracold atomic Fermi gas has been theoretically investigated. The analysis was based on a semiclassical approximation which is Sommerfeld expansion for the integral over the energy. Based on this result, several thermodynamic quantities are subsequently derived, such as the grand canonical thermodynamic potential, total energy, heat capacity and entropy. We subsequently explored how the rotation rate and interaction parameters influence various thermodynamic properties of the system. The results clearly indicate that these thermodynamic quantities are influenced by the rotation rate , while at the same time, they remain unaffected by the trap parameters across all temperature ranges. By using specific heat as an indicator, we also examined the phase transition from the gas phase to the degenerate phase. The methodology presented here can be extended to investigate the thermodynamic properties of a rotating Bose gas subjected to a combined harmonic and lattice potential.
Egyptian Journal of Physics•Jul 22, 2025•0 citations