Equation of state of a strongly magnetized hydrogen plasma
M. Steinberg, J. Ortner, W. Ebeling
Abstract
The influence of a constant uniform magnetic field on the thermodynamic properties of a partially ionized hydrogen plasma is studied. Using the method of Green' s function various interaction contributions to the thermodynamic functions are calculated. The equation of state of a quantum magnetized plasma is presented within the framework of a low density expansion up to the order e4 n2 and, additionally, including ladder type contributions via the bound states in the case of strong magnetic fields (2.35*105 T << B << 2.35*109 T). We show that for high densities (n=1027-30 m-3) and temperatures T=105 - 106 K typical for the surface of neutron stars nonideality effects as, e.g., Debye screening must be taken into account.
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