{ "id": "physics/0701201", "version": "v2", "published": "2007-01-18T06:10:52.000Z", "updated": "2007-04-25T13:42:17.000Z", "title": "Signatures of two-dimensionalisation of 3D turbulence in presence of rotation", "authors": [ "Sagar Chakraborty" ], "comment": "An extended and typos-corrected version of the earlier submission", "journal": "EPL 79 (2007) 14002", "doi": "10.1209/0295-5075/79/14002", "categories": [ "physics.flu-dyn", "cond-mat.other" ], "abstract": "A reason has been given for the inverse energy cascade in the two-dimensionalised rapidly rotating 3D incompressible turbulence. For such system, literature shows a possibility of the exponent of wavenumber in the energy spectrum's relation to lie between -2 and -3. We argue the existence of a more strict range of -2 to -7/3 for the exponent in the case of rapidly rotating turbulence which is in accordance with the recent experiments. Also, a rigorous derivation for the two point third order structure function has been provided helping one to argue that even with slow rotation one gets, though dominated, a spectrum with the exponent -2.87, thereby hinting at the initiation of the two-dimensionalisation effect with rotation.", "revisions": [ { "version": "v2", "updated": "2007-04-25T13:42:17.000Z" } ], "analyses": { "keywords": [ "3d turbulence", "rotating 3d incompressible turbulence", "point third order structure function", "two-dimensionalisation", "rapidly rotating 3d incompressible" ], "tags": [ "journal article" ], "publication": { "journal": "EPL (Europhysics Letters)", "year": 2007, "month": "Jul", "volume": 79, "number": 1, "pages": 14002 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007EL.....7914002C" } } }