{ "id": "cond-mat/0503171", "version": "v1", "published": "2005-03-08T06:12:40.000Z", "updated": "2005-03-08T06:12:40.000Z", "title": "Theory of $ω^{-4/3}$ law of the power spectrum in dissipative flows", "authors": [ "Hisao Hayakawa" ], "comment": "11 pages, 2 figures", "doi": "10.1103/PhysRevE.72.031102", "categories": [ "cond-mat.stat-mech" ], "abstract": "It is demonstrated that $\\omega^{-4/3}$ law of the power spectrum with the angular frequency $\\omega$ in dissipative flows is produced by the emission of dispersive waves from the antikink of an congested domain. The analytic theory predicts the spectrum is proportional to $\\omega^{-2}$ for relatively low frequency and $\\omega^{-4/3}$ for high frequency.", "revisions": [ { "version": "v1", "updated": "2005-03-08T06:12:40.000Z" } ], "analyses": { "keywords": [ "power spectrum", "dissipative flows", "analytic theory predicts", "high frequency", "relatively low frequency" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. E" }, "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable" } } }