{
  "id": "1902.09881",
  "version": "v1",
  "published": "2019-02-26T12:15:11.000Z",
  "updated": "2019-02-26T12:15:11.000Z",
  "title": "Dynamical aspects of spontaneous symmetry breaking in driven flow with exclusion",
  "authors": [
    "S. L. A. de Queiroz",
    "R. B. Stinchcombe"
  ],
  "comment": "9 pages, 9 figures",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We present a numerical study of a two-lane version of the stochastic non-equilibrium model known as the totally asymmetric simple exclusion process. For such a system with open boundaries, and suitably chosen values of externally-imposed particle injection ($\\alpha$) and ejection ($\\beta$) rates, spontaneous symmetry breaking can occur. We investigate the statistics and internal structure of the stochastically-induced transitions, or \"flips\", which occur between opposite broken-symmetry states as the system evolves in time. From the distribution of time intervals separating successive flips, we show that the evolution of the associated characteristic times against externally-imposed rates yields information regarding the proximity to a critical point in parameter space. On short time scales, we probe for the possible existence of precursor events to a flip between opposite broken-symmetry states. We study an adaptation of domain-wall theory to mimic the density reversal process associated with a flip.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-26T12:15:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "spontaneous symmetry breaking",
      "driven flow",
      "dynamical aspects",
      "intervals separating successive flips",
      "rates yields information regarding"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}