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The universal sound velocity formula for the strongly interacting unitary Fermi gas |
Liu Ke(刘可)† and Chen Ji-Sheng(陈继胜) |
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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Received: 01 April 2010
Revised: 03 September 2010
Accepted manuscript online:
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PACS:
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05.30.Fk
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(Fermion systems and electron gas)
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05.70.Ce
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(Thermodynamic functions and equations of state)
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67.85.Lm
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(Degenerate Fermi gases)
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Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10875050). |
Cite this article:
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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