Comparative study of the finite-temperature thermodynamics of a unitary Fermi gas

Abstract

We study the finite-temperature thermodynamics of a unitary Fermi gas. The chemical potential, energy density and entropy are given analytically with the quasi-linear approximation. The ground state energy agrees with previous theoretical and experimental results. Recently, the generalized exclusion statistics is applied to the discussion of the finite-temperature unitary Fermi gas thermodynamics. A concrete comparison between the two different approaches is performed. Emphasis is made on the behavior of the entropy per particle. In physics, the slope of entropy gives the information for the effective fermion mass $m^{\ast }/m$ in the low temperature strong degenerate region. Compared with $m^{\ast }/m\approx 0.70<1$ given in terms of the generalized exclusion statistics, our quasi-linear approximation determines $m^{\ast }/m\approx 1.11>1$.

7 pages; accepted for publication in Phys. Rev. A

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• Theory of ultracold Fermi gases
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Cited by in corpus (4)

• The finite-temperature thermodynamics of a trapped unitary Fermi gas within fractional exclusion statistics
• Joule-Thomson coefficient of ideal anyons within fractional exclusion statistics
• Adiabatic sound velocity and compressibility of a trapped d-dimensional ideal anyon gas
• Three-dimensional correlated-fermion phase separation from analysis of the geometric mean of the individual susceptibilities