Kubo-Greenwood approach to conductivity in dense plasmas with average atom models

Abstract

A new formulation of the Kubo-Greenwood conductivity for average atom models is given. The new formulation improves upon previous by explicitly including the ionic-structure factor. Calculations based on this new expression lead to much improved agreement with ab initio results for DC conductivity of warm dense hydrogen and beryllium, and for thermal conductivity of hydrogen. We also give and test a slightly modified Ziman-Evans formula for the resistivity that includes a non-free electron density of states, thus removing an ambiguity in the original Ziman-Evans formula. Again results based on this expression are in good agreement with ab initio simulations for warm dense beryllium and hydrogen. However, for both these expressions, calculations of the electrical conductivity of warm dense aluminum lead to poor agreement at low temperatures compared to ab initio simulations.

References in corpus (7)

• Local Spin-density Approximation Exchange-correlation Free-energy Functional
• Electronic transport coefficients from ab initio simulations and application to dense liquid hydrogen
• The static and dynamic conductivity of warm dense Aluminum and Gold calculated within a density functional approach
• Pseudoatom molecular dynamics
• Ionic and electronic transport properties in dense plasmas by orbital-free density functional theory
• Low-frequency plasma conductivity in the average-atom approximation
• Resistivity in warm dense plasmas beyond the average-atom model

Cited by in corpus (7)

• 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
• Potential of mean force for electrical conductivity of dense plasmas
• Optical and Transport Properties of Plasma Mixtures from Ab Initio Molecular Dynamics
• Electrical conductivities and low frequency opacities in the warm dense matter regime
• Mean Force Emission Theory for Classical Bremsstrahlung in Electron-Ion Plasmas
• Virial Expansion of the Electrical Conductivity of Hydrogen Plasmas