Thermodynamic Functions of Free Protons and Electrons in a Hydrogen Plasma

The electrostatic contribution to the internal energy of the free charges of a hydrogen plasma is computed by numerically solving a modified Poisson-Boltzmann equation. The particles of the plasma are classified as bound or free according to whether their total energy is less than or greater than a parameter $E^{*} (E^{*}\le 0$). The dependence of the thermodynamic functions on the parameter $E^{*}$ is investigated by making calculations for several values of $E^{*}$.