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

      M V N Murthy M Brack R K Bhaduri

      Research Articles Volume 82 Issue 6 June 2014 pp 985-993

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      https://www.ias.ac.in/article/fulltext/pram/082/06/0985-0993

    • Keywords

       

      Unitary Fermi gas; equation of state.

    • 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.

    • Author Affiliations

       

      M V N Murthy1 M Brack2 R K Bhaduri3

      1. The Institute of Mathematical Sciences, Chennai 600 113, India
      2. Institute for Theoretical Physics, University of Regensburg, Regensburg, Germany
      3. Department of Physics, McMaster University, Hamilton, Ont. L8S4M1, Canada

    • Dates

       
      Published
      June 2014
      Manuscript received
      4 September 2013
      Manuscript revised
      31 October 2013
      Accepted
      25 November 2013
      Early published
      28 May 2014

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