{
  "id": "1611.02178",
  "version": "v1",
  "published": "2016-11-07T17:19:39.000Z",
  "updated": "2016-11-07T17:19:39.000Z",
  "title": "Nonequilibrium dynamics of a pure dry friction model subjected to coloured noise",
  "authors": [
    "Paul M. Geffert",
    "Wolfram Just"
  ],
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We investigate the impact of noise on a two-dimensional simple paradigmatic piecewise-smooth dynamical system. For that purpose we consider the motion of a particle subjected to dry friction and coloured noise. The finite correlation time of the noise provides an additional dimension in phase space, a nontrivial probability current, and thus establishes a proper nonequilibrium regime. Furthermore, the finite noise correlation time allows for the study of stick-slip phenomena which show up as a singular component in the stationary probability density. Analytic insight can be provided by application of the unified coloured noise approximation, developed by Jung and H\\\"anggi (Phys. Rev. A 35, 4464 (R) (1987)). The analysis of probability currents and a closer look at power spectral densities underpin the observed stick-slip transitions which are related with a critical value of the noise correlation time.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-11-07T17:19:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "pure dry friction model",
      "coloured noise",
      "nonequilibrium dynamics",
      "noise correlation time",
      "simple paradigmatic piecewise-smooth dynamical system"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}