{
  "id": "1508.02519",
  "version": "v1",
  "published": "2015-08-11T08:42:30.000Z",
  "updated": "2015-08-11T08:42:30.000Z",
  "title": "Interacting particle systems with sticky boundary",
  "authors": [
    "Robert Voßhall"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1412.3975",
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper, we construct under general assumptions the stochastic dynamics of an interacting particle system in a bounded domain $\\Omega$ with sticky boundary. Under appropriate conditions on the interaction the constructed process solves the underlying SDE for every starting point in the state space. Moreover, we also obtain a solution for q.e. starting point in the case of singular interactions which generalizes former results. Finally, the setting is applied to the case of particles diffusing in a chromatography tube.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-08-11T08:42:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J50",
      "60J60",
      "58J65",
      "31C25",
      "60K35"
    ],
    "keywords": [
      "interacting particle system",
      "sticky boundary",
      "starting point",
      "state space",
      "stochastic dynamics"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150802519V"
    }
  }
}