Electrical Conductivity of Hydrogen Plasmas: Low-density Benchmarks and Virial Expansion Including e-e Collisions

2024/01/15 by Röpke, G. · 1 citation
#FOS: Physical sciences #Plasma Physics (physics.plasm-ph)

paper · doi:10.48550/arxiv.2401.07765

Abstract

An improved virial expansion for the low-density limit of the electrical conductivity σ(T,n) of hydrogen as the simplest ionic plasma is presented. Quantum statistical methods provide exact values for the lowest virial coefficients, which serve as a benchmark for analytical approaches to electrical conductivity as well as for numerical results from density functional theory based molecular dynamics simulations (DFT-MD) or path-integral Monte Carlo (PIMC) simulations. The correction factor introduced by Reinholz \it et al., Phys. Rev. E \bf 91, 043105 (2015) is applied to describe the inclusion of electron-electron collisions in DFT based calculations of transport coefficients. As a benchmark, the first virial coefficient is correctly described with this approach. The value of the second virial coefficient is discussed, questions about its value according to DFT-MD simulations are addressed.

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