{
  "annotation_id": "4962e3a5-8c8a-445e-8513-422808c8db37",
  "date_created": "2026-03-02T18:00:08.674000Z",
  "date_modified": "2026-03-02T18:00:08.674000Z",
  "file_hash": "5058f9164c3c3b8215ff2c539a0df7b04febc5ad160434132b409889eca161cf",
  "private": false,
  "record": {
    "abstract": "We analyse a bidimensional nonlinear Fokker-Planck equation by considering an\nanisotropic case, whose diffusion coefficients are $D_x \\propto |x|^{-\\theta}$\nand $D_y \\propto |y|^{-\\gamma}$ with $\\theta, \\gamma \\in {\\cal{R}}$. In this\ncontext, we also investigate two situations with the drift force\n$\\vec{F}(\\vec{r},t)=(-k_{x}x, -k_y y)$. The first one is characterized by\n$k_x/k_y=(2+\\gamma)/(2+\\theta)$ and the second is given by $k_{x}=k$ and\n$k_{y}=0$. In these cases, we can verify an anomalous behavior induced in\ndifferent directions by the drift force applied. The found results are exact\nand exhibit, in terms of the $q$-exponentials, functions which emerge from the\nTsallis formalism. The generalization for the $D$-dimensional case is\ndiscussed.",
    "arxiv_id": "nucl-th/0602061",
    "authors": [
      "E. K. Lenzi",
      "R. S. Mendes",
      "L. C. Malacarne",
      "L. R. da Silva"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1016/j.physa.2004.04.054",
    "journal_ref": "Physica A342 (2004) 16-21",
    "title": "Anomalous diffusion and anisotropic nonlinear Fokker-Planck equation",
    "url": "https://arxiv.org/abs/nucl-th/0602061"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7ea39895-7a8f-45fd-ab50-87fa7f429cbe",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}