{ "id": "1512.08837", "version": "v1", "published": "2015-12-30T03:40:17.000Z", "updated": "2015-12-30T03:40:17.000Z", "title": "Distributed chaos and isotropic turbulence", "authors": [ "A. Bershadskii" ], "categories": [ "physics.flu-dyn", "nlin.CD" ], "abstract": "Power spectrum of the distributed chaos can be represented by a weighted superposition of the exponential functions which is converged to a stretched exponential $\\exp-(k/k_{\\beta})^{\\beta }$. An asymptotic theory has been developed in order to estimate the value of $\\beta$ for the isotropic turbulence. This value has been found to be $\\beta =3/4$. Excellent agreement has been established between this theory and the data of direct numerical simulations not only for the velocity field but also for the passive scalar and energy dissipation fields. One can conclude that the isotropic turbulence emerges from the distributed chaos.", "revisions": [ { "version": "v1", "updated": "2015-12-30T03:40:17.000Z" } ], "analyses": { "keywords": [ "distributed chaos", "isotropic turbulence emerges", "energy dissipation fields", "excellent agreement", "exponential functions" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv151208837B" } } }