{
  "id": "2102.10372",
  "version": "v1",
  "published": "2021-02-20T15:37:37.000Z",
  "updated": "2021-02-20T15:37:37.000Z",
  "title": "Trapping of a run-and-tumble particle in an inhomogeneous domain: the weak noise limit",
  "authors": [
    "Paul C Bressloff"
  ],
  "comment": "12 pages, 5 figures",
  "categories": [
    "cond-mat.stat-mech",
    "q-bio.QM"
  ],
  "abstract": "A one-dimensional run-and-tumble particle (RTP) switches randomly between a left and right moving state of constant speed $v$. This type of motion arises in a wide range of applications in cell biology, including the unbiased growth and shrinkage of microtubules or cytonemes, the bidirectional motion of molecular motors, and the \"run-and-tumble\" motion of bacteria such as {\\em E. coli}. RTPs are also of more general interest within the non-equilibrium statistical physics community, both at the single particle level and at the interacting population level, where it provides a simple example of active matter. In this paper we use asymptotic methods to calculate the mean first passage time (MFPT) for a one-dimensional RTP to escape an effective trapping potential generated by space-dependent switching rates. Such methods are part of a more general framework for studying metastability in so-called piecewise deterministic Markov processes (PDMPs), which include the RTP as a special case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-02-20T15:37:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "weak noise limit",
      "run-and-tumble particle",
      "inhomogeneous domain",
      "mean first passage time",
      "single particle level"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}