The universal sound velocity formula for the strongly interacting unitary Fermi gas |
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| Authors: | Liu Ke and Chen Ji-Sheng |
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| Affiliation: | Department of Physics, Central China Normal University, Wuhan 430079, China |
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| Abstract: | Due to the scale invariance, the thermodynamic laws of strongly interacting limit unitary Fermi gas can be similar to those of non-interacting ideal gas. For example, the virial theorem between pressure and energy density of the ideal gas P=2E/3V is still satisfied by the unitary Fermi gas. This paper analyses the sound velocity of unitary Fermi gases with the quasi-linear approximation. For comparison, the sound velocities for the ideal Boltzmann, Bose and Fermi gas are also given. Quite interestingly, the sound velocity formula for the ideal non-interacting gas is found to be satisfied by the unitary Fermi gas in different temperature regions. |
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| Keywords: | unitary Fermi gas sound velocity universal thermodynamics |
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