{
  "id": "2209.04331",
  "version": "v1",
  "published": "2022-09-09T14:43:17.000Z",
  "updated": "2022-09-09T14:43:17.000Z",
  "title": "Orthogonal run-and-tumble walks",
  "authors": [
    "Luca Angelani"
  ],
  "comment": "15 pages",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "Planar run-and-tumble walks with orthogonal directions of motion are considered. After formulating the problem with generic transition probabilities among the orientational states, we focus on symmetric case, giving general expressions of the probability distribution function (in the Laplace- Fourier domain) and the mean-square displacement. As case studies we treat and discuss (i) isotropic, (ii) alternate, (iii) backward and (iv) forward motions, obtaining, when possible, analytic expression of probability distribution functions in the space-time domain. We discuss at the end also the case of (v) cyclic motion.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-09-09T14:43:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "orthogonal run-and-tumble walks",
      "probability distribution function",
      "generic transition probabilities",
      "space-time domain",
      "mean-square displacement"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}