{
  "id": "1804.05210",
  "version": "v1",
  "published": "2018-04-14T12:18:06.000Z",
  "updated": "2018-04-14T12:18:06.000Z",
  "title": "Non-resistive dissipative magnetohydrodynamics from the Boltzmann equation in the 14-moment approximation",
  "authors": [
    "Gabriel S. Denicol",
    "Xu-Guang Huang",
    "Etele Molnár",
    "Gustavo M. Monteiro",
    "Harri Niemi",
    "Jorge Noronha",
    "Dirk H. Rischke",
    "Qun Wang"
  ],
  "comment": "17 pages, 2 figures",
  "categories": [
    "nucl-th",
    "hep-ph",
    "physics.flu-dyn"
  ],
  "abstract": "We derive the equations of motion of relativistic, non-resistive, second-order dissipative magnetohydrodynamics from the Boltzmann equation using the method of moments. We assume the fluid to be composed of a single type of point-like particles with vanishing dipole moment or spin, so that the fluid has vanishing magnetization and polarization. We also assume the fluid to be non-resistive, which allows to express the electric field in terms of the magnetic field. We derive equations of motion for the irreducible moments of the deviation of the single-particle distribution function from local thermodynamical equilibrium. We analyze the Navier-Stokes limit of these equations, reproducing previous results for the structure of the first-order transport coefficients. Finally, we truncate the system of equations for the irreducible moments using the 14-moment approximation, deriving the equations of motion of relativistic, non-resistive, second-order dissipative magnetohydrodynamics. We also give expressions for new transport coefficients appearing due to the coupling of the magnetic field to the dissipative quantities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-04-14T12:18:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "boltzmann equation",
      "non-resistive dissipative magnetohydrodynamics",
      "approximation",
      "second-order dissipative magnetohydrodynamics",
      "magnetic field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}