Van der Waals equation of state with Fermi statistics for nuclear matter

V. Vovchenko, D. V. Anchishkin, and M. I. Gorenstein
Phys. Rev. C 91, 064314 – Published 23 June 2015

Abstract

The van der Waals (VDW) equation of state is a simple and popular model to describe the pressure function in equilibrium systems of particles with both repulsive and attractive interactions. This equation predicts the existence of a first-order liquid-gas phase transition and contains a critical point. Two steps to extend the VDW equation and make it appropriate for new physical applications are carried out in this paper: (i) the grand canonical ensemble formulation and (ii) the inclusion of the quantum statistics. The VDW equation with Fermi statistics is then applied to a description of the system of interacting nucleons. The VDW parameters a and b are fixed to reproduce the properties of nuclear matter at saturation density n0=0.16fm3 and zero temperature. The model predicts a location of the critical point for the symmetric nuclear matter at temperature Tc19.7 MeV and nucleon number density nc0.07fm3.

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  • Received 14 April 2015
  • Revised 1 June 2015

DOI:https://doi.org/10.1103/PhysRevC.91.064314

©2015 American Physical Society

Authors & Affiliations

V. Vovchenko1,2,3, D. V. Anchishkin4,1,2, and M. I. Gorenstein4,2

  • 1Taras Shevchenko National University of Kiev, 03022 Kiev, Ukraine
  • 2Frankfurt Institute for Advanced Studies, Johann Wolfgang Goethe University, D-60438 Frankfurt, Germany
  • 3GSI Helmholtzzentrum für Schwerionenforschung GmbH, D-64291 Darmstadt, Germany
  • 4Bogolyubov Institute for Theoretical Physics, 03680 Kiev, Ukraine

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Issue

Vol. 91, Iss. 6 — June 2015

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