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    Quantum Ornstein-Zernike theory for two-temperature two-component plasmas

    Zachary A. Johnson1,*, Nathaniel R. Shaffer2, and Michael S. Murillo1

    • 1Computational Mathematics, Science and Engineering, Michigan State University, East Lansing, Michigan 48824, USA
    • 2Laboratory for Laser Energetics, University of Rochester, 250 East River Road, Rochester, New York 14623, USA

    • *Contact author: john8248@msu.edu

    Phys. Rev. E 112, 025207 – Published 18 August, 2025

    DOI: https://doi.org/10.1103/5c29-kdx1

    Abstract

    Laboratory plasma production almost always preferentially heats either the ions or electrons, leading to a two-temperature state. In this state, density functional theory molecular dynamic simulation is the state of the art for modeling bulk material properties. We construct a statistical mechanics model for the two-temperature limit that is theoretically consistent with the molecular dynamics method. We proceed to derive the electron-ion multitemperature quantum Ornstein-Zernike equations for the first time. This allows the construction of a two-temperature, two-component plasma model using the average atom from which we can compute bulk material properties at a fraction of the computation time of the two-temperature density functional theory simulation. The accuracy of the model is benchmarked against ion pair correlation and self-diffusion results from ab initio simulation. We proceed to compute the viscosity and ion thermal conductivity as a function of both ion and electron temperature.

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