The Thermodynamic Pressure of a Dilute Fermi Gas

Abstract

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.

LaTeX, 37 pages

References in corpus (2)

• Ground State Energy of the Low Density Fermi Gas
• A Stronger Subadditivity of Entropy

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