The finite-temperature thermodynamics of a trapped unitary Fermi gas within fractional exclusion statistics

Abstract

We utilize a fractional exclusion statistics of Haldane and Wu hypothesis to study the thermodynamics of a unitary Fermi gas trapped in a harmonic oscillator potential at ultra-low finite temperature. The entropy per particle as a function of the energy per particle and energy per particle versus rescaled temperature are numerically compared with the experimental data. The study shows that, except the chemical potential behavior, there exists a reasonable consistency between the experimental measurement and theoretical attempt for the entropy and energy per particle. In the fractional exclusion statistics formalism, the behavior of the isochore heat capacity for a trapped unitary Fermi gas is also analyzed.

arXiv comment6 pages, 6 figures

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Cited by in corpus (4)

• Joule-Thomson coefficient of ideal anyons within fractional exclusion statistics
• Adiabatic sound velocity and compressibility of a trapped d-dimensional ideal anyon gas
• Equivalence between fractional exclusion statistics and self-consistent mean-field theory in interacting particle systems in any number of dimensions
• From Fractional Exclusion Statistics Back to Bose and Fermi Distributions