{
  "id": "1909.03525",
  "version": "v1",
  "published": "2019-09-08T18:28:44.000Z",
  "updated": "2019-09-08T18:28:44.000Z",
  "title": "Information production in homogeneous isotropic turbulence",
  "authors": [
    "Arjun Berera",
    "Daniel Clark"
  ],
  "comment": "5 pages, 4 figures",
  "categories": [
    "physics.flu-dyn"
  ],
  "abstract": "We study the Reynolds number scaling of the Kolmogorov-Sinai entropy and attractor dimension for three dimensional homogeneous isotropic turbulence through the use of direct numerical simulation. To do so, we obtain Lyapunov spectra for a range of different Reynolds numbers by following the divergence of a large number of orthogonal fluid trajectories. We find that the attractor dimension grows with the Reynolds number as Re$^{2.35}$ with this exponent being larger than predicted by either dimensional arguments or intermittency models. The distribution of Lyapunov exponents is found to be finite around $\\lambda \\approx 0$ contrary to a possible divergence suggested by Ruelle. The relevance of the Kolmogorov-Sinai entropy and Lyapunov spectra in comparing complex physical systems is discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-08T18:28:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "information production",
      "reynolds number",
      "lyapunov spectra",
      "kolmogorov-sinai entropy",
      "dimensional homogeneous isotropic turbulence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}