{
  "id": "1608.08194",
  "version": "v1",
  "published": "2016-08-29T19:49:06.000Z",
  "updated": "2016-08-29T19:49:06.000Z",
  "title": "Homogenization of Dissipative, Noisy, Hamiltonian Dynamics",
  "authors": [
    "Jeremiah Birrell",
    "Jan Wehr"
  ],
  "comment": "42 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study the dynamics of a class of Hamiltonian systems with dissipation, coupled to noise, in a singular (small mass) limit. We derive the homogenized equation for the position degrees of freedom in the limit, including the presence of a noise-induced drift term. We prove convergence to the solution of the homogenized equation in an $L^p$-norm.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-08-29T19:49:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hamiltonian dynamics",
      "homogenization",
      "homogenized equation",
      "noise-induced drift term",
      "hamiltonian systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}