A phenomenological approach to the equation of state of a unitary Fermi gas

We propose a phenomenological approach for the equation of state of a unitary Fermi gas. The universal equation of state is parametrized in terms of Fermi–Dirac integrals. This reproduces the experimental data over the accessible range of fugacity and normalized temperature, but cannot describe the...

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Bibliographic Details
Published inPramāṇa Vol. 82; no. 6; pp. 985 - 993
Main Authors MURTHY, M V N, BRACK, M, BHADURI, R K
Format Journal Article
LanguageEnglish
Published India Springer India 01.06.2014
Subjects
Astronomy
Astrophysics and Astroparticles
Observations and Techniques
Physics
Physics and Astronomy
Unitary Fermi gas
equation of state
05.30.Fk
64.10.+h
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Summary:We propose a phenomenological approach for the equation of state of a unitary Fermi gas. The universal equation of state is parametrized in terms of Fermi–Dirac integrals. This reproduces the experimental data over the accessible range of fugacity and normalized temperature, but cannot describe the superfluid phase transition found in the MIT experiment [Ku et al , Science 335 , 563 ( 2012 )]. The most sensitive data for compressibility and specific heat at phase transition can, however, be fitted by introducing into the grand partition function a pair of complex conjugate zeros lying in the complex fugacity plane slightly off the real axis.
ISSN:0304-4289
0973-7111
DOI:10.1007/s12043-014-0749-y