{
  "id": "2102.05115",
  "version": "v1",
  "published": "2021-02-09T20:35:22.000Z",
  "updated": "2021-02-09T20:35:22.000Z",
  "title": "A Kinetic Model for Electron-Ion Transport in Warm Dense Matter",
  "authors": [
    "Shane Rightley",
    "S. D. Baalrud"
  ],
  "comment": "14 pages, 7 figures. arXiv admin note: substantial text overlap with arXiv:2001.11438",
  "categories": [
    "physics.plasm-ph"
  ],
  "abstract": "We present a model for electron-ion transport in Warm Dense Matter that incorporates Coulomb coupling effects into the quantum Boltzmann equation of Uehling and Uhlenbeck through the use of a statistical potential of mean force. Although this model has been derived rigorously in the classical limit [S.D. Baalrud and J. Daligault, Physics of Plasmas 26, 8, 082106 (2019)], its quantum generalization is complicated by the uncertainty principle. Here we apply an existing model for the potential of mean force based on the quantum Ornstein-Zernike equation coupled with an average-atom model [C. E. Starrett, High Energy Density Phys. 25, 8 (2017)]. This potential contains correlations due to both Coulomb coupling and exchange, and the collision kernel of the kinetic theory enforces Pauli blocking while allowing for electron diffraction and large-angle collisions. By solving the Uehling-Uhlenbeck equation for electron-ion relaxation rates, we predict the momentum and temperature relaxation time and electrical conductivity of solid density aluminum plasma based on electron-ion collisions. We present results for density and temperature conditions that span the transition from classical weakly-coupled plasma to degenerate moderately-coupled plasma. Our findings agree well with recent quantum molecular dynamics simulations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-02-09T20:35:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "warm dense matter",
      "electron-ion transport",
      "kinetic model",
      "theory enforces pauli blocking",
      "kinetic theory enforces pauli"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}