Virial Expansion of the Electrical Conductivity of Hydrogen Plasmas

Abstract

The low-density limit of the electrical conductivity $\sigma (n,T)$ of hydrogen as the simplest ionic plasma is presented as function of temperature T and mass density n in form of a virial expansion of the resistivity. Quantum statistical methods yield exact values for the lowest virial coefficients which serve as benchmark for analytical approaches to the electrical conductivity as well as for numerical results obtained from density functional theory based molecular dynamics simulations (DFT-MD) or path-integral Monte Carlo (PIMC) simulations. While these simulations are well suited to calculate $\sigma (n,T)$ in a wide range of density and temperature, in particular for the warm dense matter region, they become computationally expensive in the low-density limit, and virial expansions can be utilized to balance this drawback. We present new results of DFT-MD simulations in that regime and discuss the account of electron-electron collisions by comparing with the virial expansion.

arXiv commentSupplementary Material will be made available upon journal publication

References in corpus (12)

• The Uniform Electron Gas at Warm Dense Matter Conditions
• Ab initio simulation of warm dense matter
• Electronic transport coefficients from ab initio simulations and application to dense liquid hydrogen
• Review of the First Charged-Particle Transport Coefficient Comparison Workshop
• Density-functional calculations of transport properties in the non-degenerate limit and the role of electron-electron scattering
• Finite-size effects in the reconstruction of dynamic properties from ab initio path integral Monte-Carlo simulations
• Interpolation formula for the electrical conductivity of nonideal plasmas
• A Model of Electron Transport in Dense Plasmas Spanning Temperature Regimes
• Material Properties for the Interiors of Massive Giant Planets and Brown Dwarfs
• Kubo-Greenwood approach to conductivity in dense plasmas with average atom models
• Transition to metallization in warm dense helium-hydrogen mixtures using stochastic density functional theory within the Kubo-Greenwood formalism
• Real-space formulation of the stress tensor for $\mathcal{O}(N)$ density functional theory: application to high temperature calculations