{
  "id": "cond-mat/9604033",
  "version": "v3",
  "published": "1996-04-05T08:36:33.000Z",
  "updated": "1996-11-29T05:37:38.000Z",
  "title": "Hierarchical Diffusion, Aging and Multifractality",
  "authors": [
    "Hajime Yoshino"
  ],
  "comment": "28 pages, LaTex, 6 PostScript figures. To appear in Journal of Physics A",
  "doi": "10.1088/0305-4470/30/4/016",
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "We study toy aging processes in hierarchically decomposed phase spaces where the equilibrium probability distributions are multifractal. We found that the an auto-correlation function, survival-return probability, shows crossover behavior from a power law $t^{-x}$ in the quasi-equilibrium regime ($t\\ll\\tw$) to another power law $t^{-\\lambda}$ ($\\lambda \\geq x$) in the off-equilibrium regime ($t\\gg\\tw$) obeying a simple $t/\\tw$ scaling law. The exponents $x$ and $\\lambda$ are related with the so called mass exponents which characterize the multifractality.",
  "revisions": [
    {
      "version": "v3",
      "updated": "1996-11-29T05:37:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hierarchical diffusion",
      "multifractality",
      "power law",
      "study toy aging processes",
      "equilibrium probability distributions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}