{
  "id": "1209.4289",
  "version": "v1",
  "published": "2012-09-19T15:57:06.000Z",
  "updated": "2012-09-19T15:57:06.000Z",
  "title": "Transition to chaos in magnetized, weakly coupled plasmas",
  "authors": [
    "Andrea Carati",
    "Francesco Benfenati",
    "Alberto Maiocchi",
    "Luigi Galgani",
    "Matteo Zuin"
  ],
  "comment": "4 pages, 4 Figures. Submitted to PRL",
  "categories": [
    "cond-mat.stat-mech",
    "physics.plasm-ph"
  ],
  "abstract": "We report the results of numerical simulations for a model of a one component plasma (a system of N point electrons with mutual Coulomb interactions) in a uniform stationary magnetic field. We take N up to 512, with periodic boundary conditions, and macroscopic parameters corresponding to the weak coupling regime, with a coupling parameter \\Gamma=1/64. We find that a transition from order to chaos takes place when the density is increased or the field decreased so that the ratio \\omega_p/\\omega_c between plasma and cyclotron frequencies becomes of order 1 (or equivalently the ratio r_L/\\lambda_D between Larmor radius and Debye length becomes of order 1). The result is in agreement with the theoretical prediction obtained in [1], on the basis of an old estimate of Iglesias, Lebowitz and MacGowan [2] for the intensity of the electric field acting on one electron and due to all the other ones. A comparison can be made with the threshold obtained from kinetic theory arguments, which corresponds to the condition \\nu_{ee}/\\omega_c=1, where \\nu_{ee} is the electron collision frequency. The latter threshold has a completely different dependence on the physical parameters and, for \\Gamma=1/64, gives a critical value of \\omega_p about 80 times larger.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-09-19T15:57:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "weakly coupled plasmas",
      "transition",
      "uniform stationary magnetic field",
      "electron collision frequency",
      "mutual coulomb interactions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1209.4289C"
    }
  }
}