{
  "id": "1804.09027",
  "version": "v1",
  "published": "2018-04-24T13:40:08.000Z",
  "updated": "2018-04-24T13:40:08.000Z",
  "title": "Active Brownian Motion in Two Dimensions",
  "authors": [
    "Urna Basu",
    "Satya N. Majumdar",
    "Alberto Rosso",
    "Gregory Schehr"
  ],
  "comment": "5 pages + 5 pages of Supplementary Material, 4 Figures",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.soft"
  ],
  "abstract": "We study the dynamics of a single active Brownian particle (ABP) in a two-dimensional harmonic trap. The active particle has an intrinsic time scale $D_R^{-1}$ set by the rotational diffusion with diffusion constant $D_R$. The harmonic trap also induces a relaxational time-scale $\\mu^{-1}$. We show that the competition between these two time scales leads to a nontrivial time evolution for the ABP. At short times a strongly anisotropic motion emerges leading to anomalous persistence/first-passage properties. At long-times, the stationary position distribution in the trap exhibits two different behaviours: a Gaussian peak at the origin in the strongly passive limit ($D_R \\to \\infty$) and a delocalised ring away from the origin in the opposite strongly active limit ($D_R \\to 0$). The predicted stationary behaviours in these limits are in agreement with recent experimental observations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-04-24T13:40:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "active brownian motion",
      "anisotropic motion emerges leading",
      "dimensions",
      "nontrivial time evolution",
      "stationary position distribution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}