Click here to view fulltext PDF

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

Unitary Fermi gas; equation of state.

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.

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

Published

June 2014

Manuscript received

4 September 2013

Manuscript revised

31 October 2013

Accepted

25 November 2013

Early published

28 May 2014