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Equation of state of a strongly magnetized hydrogen plasma

M. Steinberg·J. Ortner·W. Ebeling
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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 e^4 n^2 and, additionally, including ladder type contributions via the bound states in the case of strong magnetic fields (2.35*10^{5} T << B << 2.35*10^{9} T). We show that for high densities (n=10^{27-30} m^{-3}) and temperatures T=10^5 - 10^6 K typical for the surface of neutron stars nonideality effects as, e.g., Debye screening must be taken into account.

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M. Steinberg, J. Ortner, W. Ebeling. 1998-07-13. Equation of state of a strongly magnetized hydrogen plasma. https://doi.org/10.1103/physreve.58.3806

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