Phase transitions in quantum plasmas

Abstract

We present a theory for a critical point and phase transitions in quantum plasmas (QPs). We use a newly obtained Lennard-Jones-type interaction potential or an oscillating exponential-screened Coulomb potential around ions that are screened by degenerate electrons in an unmagnetized QP. Expressions for the free energy and an equation of state for non-degenerate ions are obtained. It is found that the existence of a critical point and phase separations in our QPs depends on the Wigner–Seitz electron radius and the equilibrium ion temperature. Our results are relevant for understanding superdense astrophysical objects such as the cores of white dwarfs.