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Pressure of a dilute spin-polarized Fermi gas: Upper bound
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Pressure of a dilute spin-polarized Fermi gas: Upper bound
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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 $a^3\rho^{8/3}$, with $a$ the $p$-wave scattering length of the interaction and $\rho$ the particle density, depends on the temperature and matches the corresponding lower bound of [arXiv:2307.01113].
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Cited by 1 Pith paper
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The Huang--Yang formula for a two-dimensional Fermi gas: upper bound
Derives an upper bound on the ground state energy of a dilute 2D Fermi gas that captures the first three terms in the small ρa² asymptotic expansion.
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