2025/09/22 by Victor E. Ambrus, Victor E. Ambruş, Aleksandar Gecić +2
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #Physics of Superconductivity and Magnetism
paper · pdf · doi:10.48550/arxiv.2509.17640
We consider the thermodynamic properties of a rotating gas of fermions. We begin by constructing the thermodynamic potential Φ and its associated current ϕμ within the grand canonical ensemble of a macroscopic rigidly rotating body, where the ensemble parameters are the temperature T0 and chemical potential μ0 on the rotation axis, as well as the rotation angular velocity Ω0. We then consider the problem of local thermodynamics, where the thermodynamic state is defined by the local temperature T and chemical potential μ, as well as the local spin potential tensor, Ωμν. We find the thermodynamic pressure P, given as the sum of the usual classical (non-quantum) pressure and other corrections due to the spin potential and the kinematic state of the fluid. We compute the associated entropy, charge and spin densities, and show they are consistent with the Euler relation.