The universal sound velocity formula for the strongly interacting unitary Fermi gas

doi:10.1088/1674-1056/20/2/020501

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.

Keywords: unitary Fermi gas sound velocity universal thermodynamics

Received: 01 April 2010
Revised: 03 September 2010
Accepted manuscript online:

PACS:	05.30.Fk	(Fermion systems and electron gas)
	05.70.Ce	(Thermodynamic functions and equations of state)
	67.85.Lm	(Degenerate Fermi gases)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10875050).

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Liu Ke(刘可) and Chen Ji-Sheng(陈继胜) The universal sound velocity formula for the strongly interacting unitary Fermi gas 2011 Chin. Phys. B 20 020501

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