{
  "id": "1712.08025",
  "version": "v1",
  "published": "2017-12-21T15:45:42.000Z",
  "updated": "2017-12-21T15:45:42.000Z",
  "title": "Classical Dynamics of Harmonically Trapped Interacting Particles",
  "authors": [
    "Zhiyu Dong",
    "R. Moessner",
    "Masudul Haque"
  ],
  "comment": "19 pages, 12 figures",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.quant-gas",
    "nlin.CD"
  ],
  "abstract": "Motivated by current interest in the dynamics of trapped quantum gases, we study the microcanonical dynamics of a trapped one-dimensional gas of classical particles interacting via a finite-range repulsive force of tunable strength. We examine two questions which have been of interest in quantum dynamics: (1) the breathing mode (size oscillation) dynamics of the trapped gas and the dependence of the breathing frequency on the interaction strength, and (2) the long-time relaxation and possible thermalization of the finite isolated gas. We show that the breathing mode frequency has non-monotonic dependence on the magnitude of the mutual repulsion, decreasing for small interactions and increasing for larger interactions. We explain these dependences in terms of slowing-down or speeding-up effects of two-body collision processes. We find that the gas thermalizes within a reasonable finite timescale in the sense of single-particle energies acquiring a Boltzmann distribution, only when the interaction strength is large compared to the energy per particle.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-21T15:45:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "harmonically trapped interacting particles",
      "classical dynamics",
      "interaction strength",
      "breathing mode",
      "two-body collision processes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}