{
  "id": "2102.09611",
  "version": "v1",
  "published": "2021-02-18T20:56:54.000Z",
  "updated": "2021-02-18T20:56:54.000Z",
  "title": "Stochastic variational principles for the collisional Vlasov-Maxwell and Vlasov-Poisson equations",
  "authors": [
    "Tomasz M. Tyranowski"
  ],
  "comment": "26 pages",
  "categories": [
    "math-ph",
    "math.MP",
    "math.PR",
    "physics.comp-ph",
    "physics.plasm-ph"
  ],
  "abstract": "In this work we recast the collisional Vlasov-Maxwell and Vlasov-Poisson equations as systems of coupled stochastic and partial differential equations, and we derive stochastic variational principles which underlie such reformulations. We also propose a stochastic particle method for the collisional Vlasov-Maxwell equations and provide a variational characterization of it, which can be used as a basis for a further development of stochastic structure-preserving particle-in-cell integrators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-02-18T20:56:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q83",
      "35Q61",
      "35Q70",
      "35Q84",
      "49Q99",
      "82C31",
      "82C40",
      "60H07",
      "60H30"
    ],
    "keywords": [
      "vlasov-poisson equations",
      "partial differential equations",
      "collisional vlasov-maxwell equations",
      "stochastic structure-preserving particle-in-cell integrators",
      "derive stochastic variational principles"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}