Cluster virial expansion for the equation of state of partially ionized hydrogen plasma

Abstract

We study the contribution of electron-atom interaction to the equation of state for partially ionized hydrogen plasma using the cluster-virial expansion. For the first time, we use the BethUhlenbeck approach to calculate the second virial coefficient for the electron-atom (bound cluster) pair from the corresponding scattering phase-shifts and binding energies. Experimental scattering cross-sections as well as phase-shifts calculated on the basis of different pseudopotential models are used as an input for the Beth-Uhlenbeck formula. By including Pauli blocking and screening in the phase-shift calculation, we generalize the cluster-virial expansion in order to cover also near solid density plasmas. We present results for the electron-atom contribution to the virial expansion and the corresponding equation of state, i.e. pressure, composition, and chemical potential as a function of density and temperature. These results are compared with semi-empirical approaches to the thermodynamics of partially ionized plasmas. Avoiding any ill-founded input quantities, the Beth-Uhlenbeck second virial coefficient for the electron-atom interaction represents a benchmark for other, semi-empirical approaches.

Landau damping effects on the scattering spin-asymmetry and channel preference in election-hole plasmas

“…Recently, the excellent works have provided the quite useful effective potentials in semiclassical plasmas taking into accounts the symmetry and degeneracy effects as well as diffraction and screening. 22,23 However, the symmetry effect on the scattering spinasymmetry and spin channel preference in electron collisions are not considered in this work since the investigation of the Landau damping effect on the scattering spin-asymmetry and channel preference in electron-hole plasmas is the main purpose of this work. Very recently, the excellent works have provided the quite useful effective potentials in semiclassical plasmas taking into account the quantum-mechanical diffraction, symmetry, degeneracy effects, as well as quantum screening effect.…”

Quantum characteristics of occurrence scattering time in two-component non-ideal plasmas

“…Recent years, the excellent works have provided the phase shifts, cross sections and transport coefficients [34] and microscopic and thermodynamic properties [35] of dense semiclassical plasmas on the basis of pseudopotential models taking into account screening effects at large distances and quantum effects at short distances. In addition, the contribution of electron-atom interaction to the equation of state has been obtained in partially ionized hydrogen plasma using the cluster-virial expansion with the Beth-Uhlenbeck approach [36]. Very recently, the excellent work has provided the effective dynamically screened potential of a classical ion in a stationary flowing quantum plasma at finite temperature based on the Mermin dielectric function [37].…”

Cluster virial expansion of the equation of state for hydrogen plasma withe-H2contributions

“…[20] andb e-H was studied in Ref. [17]. An exact quantum mechanical expression for the second virial coefficient was given by Beth and Uhlenbeck [19]:…”

“…The cluster virial expansion was described in details in a previous paper [17]. The electron-atom interaction was studied from a microscopic point of view.…”