{
  "id": "1911.10222",
  "version": "v1",
  "published": "2019-11-22T19:17:58.000Z",
  "updated": "2019-11-22T19:17:58.000Z",
  "title": "From power law to Anderson localization in nonlinear Schrödinger equation with nonlinear randomness",
  "authors": [
    "Alexander Iomin"
  ],
  "journal": "Physical Review E 100, 052123 (2019)",
  "doi": "10.1103/PhysRevE.100.052123",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech",
    "nlin.CD",
    "physics.optics"
  ],
  "abstract": "We study the propagation of coherent waves in a nonlinearly-induced random potential, and find regimes of self-organized criticality and other regimes where the nonlinear equivalent of Anderson localization prevails. The regime of self-organized criticality leads to power-law decay of transport [Phys. Rev. Lett. 121, 233901 (2018)], whereas the second regime exhibits exponential decay.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-11-22T19:17:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonlinear schrödinger equation",
      "power law",
      "nonlinear randomness",
      "anderson localization prevails",
      "self-organized criticality"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}