Pressure of a dilute spin-polarized Fermi gas: Upper bound

2024/07/08 by Lauritsen, Asbjørn Bækgaard, Seiringer, Robert
#FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2407.05990

Abstract

We prove an upper bound on the pressure of a dilute fully spin-polarized Fermi gas capturing the leading correction to the pressure of a free gas resulting from repulsive interactions. This correction is of order a³ρ^8/3, with a the p-wave scattering length of the interaction and ρ the particle density, depends on the temperature and matches the corresponding lower bound of [arXiv:2307.01113].

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