Pressure of a dilute spin-polarized Fermi gas: Lower bound
Forum of Mathematics, Sigma, Tome 12 (2024)
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We consider a dilute fully spin-polarized Fermi gas at positive temperature in dimensions $d\in \{1,2,3\}$. We show that the pressure of the interacting gas is bounded from below by that of the free gas plus, to leading order, an explicit term of order $a^d\rho ^{2+2/d}$, where a is the p-wave scattering length of the repulsive interaction and $\rho $ is the particle density. The results are valid for a wide range of repulsive interactions, including that of a hard core, and uniform in temperatures at most of the order of the Fermi temperature. A central ingredient in the proof is a rigorous implementation of the fermionic cluster expansion of Gaudin, Gillespie and Ripka (Nucl. Phys. A, 176.2 (1971), pp. 237–260).
@article{10_1017_fms_2024_56,
author = {Asbj{\o}rn B{\ae}kgaard Lauritsen and Robert Seiringer},
title = {Pressure of a dilute spin-polarized {Fermi} gas: {Lower} bound},
journal = {Forum of Mathematics, Sigma},
publisher = {mathdoc},
volume = {12},
year = {2024},
doi = {10.1017/fms.2024.56},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1017/fms.2024.56/}
}
TY - JOUR AU - Asbjørn Bækgaard Lauritsen AU - Robert Seiringer TI - Pressure of a dilute spin-polarized Fermi gas: Lower bound JO - Forum of Mathematics, Sigma PY - 2024 VL - 12 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.1017/fms.2024.56/ DO - 10.1017/fms.2024.56 LA - en ID - 10_1017_fms_2024_56 ER -
Asbjørn Bækgaard Lauritsen; Robert Seiringer. Pressure of a dilute spin-polarized Fermi gas: Lower bound. Forum of Mathematics, Sigma, Tome 12 (2024). doi: 10.1017/fms.2024.56
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