https://insu.hal.science/insu-03710144Röpke, G.G.RöpkeSchörner, M.M.SchörnerRedmer, R.R.RedmerBethkenhagen, M.M.BethkenhagenLGL-TPE - Laboratoire de Géologie de Lyon - Terre, Planètes, Environnement - ENS de Lyon - École normale supérieure de Lyon - UCBL - Université Claude Bernard Lyon 1 - Université de Lyon - INSU - CNRS - Institut national des sciences de l'Univers - UJM - Université Jean Monnet - Saint-Étienne - CNRS - Centre National de la Recherche ScientifiqueVirial expansion of the electrical conductivity of hydrogen plasmasHAL CCSD2021Physics - Plasma Physics[SDU] Sciences of the Universe [physics]POTHIER, Nathalie2022-06-30 14:30:572023-05-11 11:56:112022-06-30 14:30:57enJournal articles10.1103/PhysRevE.104.0452041The low-density limit of the electrical conductivity σ (n ,T ) of hydrogen as the simplest ionic plasma is presented as a function of the temperature T and mass density n in the form of a virial expansion of the resistivity. Quantum statistical methods yield exact values for the lowest virial coefficients which serve as a 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 simulations. While these simulations are well suited to calculate σ (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 comparison with the virial expansion.