The Thermodynamic Pressure of a Dilute Fermi Gas

Details The Thermodynamic Pressure of a Dilute Fermi Gas The Thermodynamic Pressure of a Dilute Fermi Gas

2004-12-23

arxiv.org/abs/math-ph/0412086v1

Commun. Math. Phys. 261, 729-758 (2006)

Physics

Mathematical Physics

LaTeX, 37 pages

Scientific paper

We consider a gas of fermions with non-zero spin at temperature $T$ and chemical potential $\mu$. We show that if the range of the interparticle interaction is small compared to the mean particle distance, the thermodynamic pressure differs to leading order from the corresponding expression for non-interacting particles by a term proportional to the scattering length of the interparticle interaction. This is true for any repulsive interaction, including hard cores. The result is uniform in the temperature as long as $T$ is of the same order as the Fermi temperature, or smaller.

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