{ "id": "0707.0601", "version": "v2", "published": "2007-07-04T12:57:24.000Z", "updated": "2008-04-09T19:21:51.000Z", "title": "Diffusion in an Expanding Plasma using AdS/CFT", "authors": [ "Keun-Young Kim", "Sang-Jin Sin", "Ismail Zahed" ], "comment": "19 pages, 2 figures, minor corrections, version to appear in JHEP", "journal": "JHEP0804:047,2008", "doi": "10.1088/1126-6708/2008/04/047", "categories": [ "hep-th", "hep-ph" ], "abstract": "We consider the diffusion of a non-relativistic heavy quark of fixed mass M, in a one-dimensionally expanding and strongly coupled plasma using the AdS/CFT duality. The Green's function constructed around a static string embedded in a background with a moving horizon, is identified with the noise correlation function in a Langevin approach. The (electric) noise decorrelation is of order 1/T(\\tau) while the velocity de-correlation is of order MD(\\tau)/T(\\tau). For MD>1, the diffusion regime is segregated and the energy loss is Langevin-like. The time dependent diffusion constant D(\\tau) asymptotes its adiabatic limit 2/\\pi\\sqrt{\\lambda} T(\\tau) when \\tau/\\tau_0=(1/3\\eta_0\\tau_0)^3 where \\eta_0 is the drag coefficient at the initial proper time \\tau_0.", "revisions": [ { "version": "v2", "updated": "2008-04-09T19:21:51.000Z" } ], "analyses": { "keywords": [ "expanding plasma", "time dependent diffusion constant", "initial proper time", "noise correlation function", "non-relativistic heavy quark" ], "tags": [ "journal article" ], "publication": { "publisher": "IOP", "journal": "Journal of High Energy Physics", "year": 2008, "month": "Apr", "volume": 2008, "number": 4, "pages": "047" }, "note": { "typesetting": "TeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008JHEP...04..047K", "inspire": 755011 } } }