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Virial expansion of the electrical conductivity of hydrogen plasmas

Abstract : The 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.
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Submitted on : Thursday, June 30, 2022 - 2:30:57 PM
Last modification on : Tuesday, September 13, 2022 - 4:08:23 PM

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G. Röpke, M. Schörner, R. Redmer, M. Bethkenhagen. Virial expansion of the electrical conductivity of hydrogen plasmas. Physical Review E , 2021, 104, ⟨10.1103/PhysRevE.104.045204⟩. ⟨insu-03710144⟩

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