{
  "id": "1811.05798",
  "version": "v1",
  "published": "2018-11-14T14:15:56.000Z",
  "updated": "2018-11-14T14:15:56.000Z",
  "title": "Dynamical freezing of relaxation to equilibrium",
  "authors": [
    "Stefano Iubini",
    "Liviu Chirondojan",
    "Gian-Luca Oppo",
    "Antonio Politi",
    "Paolo Politi"
  ],
  "comment": "Supplementary material is included",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We provide evidence of an extremely slow thermalization occurring in the Discrete NonLinear Schr\\\"odinger (DNLS) model. At variance with many similar processes encountered in statistical mechanics - typically ascribed to the presence of (free) energy barriers - here the slowness has a purely dynamical origin: it is due to the presence of an adiabatic invariant, which freezes the dynamics of a tall breather. Consequently, relaxation proceeds via rare events, where energy is suddenly released towards the background. We conjecture that this exponentially slow relaxation is a key ingredient contributing to the non-ergodic behavior recently observed in the negative temperature region of the DNLS equation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-11-14T14:15:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dynamical freezing",
      "equilibrium",
      "extremely slow thermalization",
      "discrete nonlinear",
      "similar processes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}