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

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

中国物理B ›› 2011, Vol. 20 ›› Issue (2): 20501-020501.doi: 10.1088/1674-1056/20/2/020501

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

刘可, 陈继胜

Department of Physics, Central China Normal University, Wuhan 430079, China

收稿日期:2010-04-01 修回日期:2010-09-03 出版日期:2011-02-15 发布日期:2011-02-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 10875050).

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

Received:2010-04-01 Revised:2010-09-03 Online:2011-02-15 Published:2011-02-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 10875050).

摘要/Abstract

摘要： 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.

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.

Key words: unitary Fermi gas, sound velocity, universal thermodynamics

中图分类号: (Fermion systems and electron gas)

05.30.Fk

05.70.Ce (Thermodynamic functions and equations of state) 67.85.Lm (Degenerate Fermi gases)

刘可, 陈继胜. The universal sound velocity formula for the strongly interacting unitary Fermi gas[J]. 中国物理B, 2011, 20(2): 20501-020501.

Liu Ke(刘可) and Chen Ji-Sheng(陈继胜). The universal sound velocity formula for the strongly interacting unitary Fermi gas[J]. Chin. Phys. B, 2011, 20(2): 20501-020501.

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

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

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