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

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Abstract

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.

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Acknowledgements

The authors thank M Ku and collaborators for sharing their experimental data. They acknowledge the financial support by NSERC (Canada) and IMSc (India), and the hospitality of the Department of Physics and Astronomy, McMaster University, and of the Institute of Mathematical Sciences, Chennai.

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Authors and Affiliations

  1. The Institute of Mathematical Sciences, Chennai, 600 113, India

    M V N MURTHY

  2. Institute for Theoretical Physics, University of Regensburg, Regensburg, Germany

    M BRACK

  3. Department of Physics, McMaster University, Hamilton, Ont., L8S4M1, Canada

    R K BHADURI

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  1. M V N MURTHY
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  2. M BRACK
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  3. R K BHADURI
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Correspondence to M V N MURTHY.

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MURTHY, M.V.N., BRACK, M. & BHADURI, R.K. A phenomenological approach to the equation of state of a unitary Fermi gas. Pramana - J Phys 82, 985–993 (2014). https://doi.org/10.1007/s12043-014-0749-y

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  • DOI: https://doi.org/10.1007/s12043-014-0749-y

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