{ "id": "cond-mat/0012315", "version": "v1", "published": "2000-12-17T19:55:11.000Z", "updated": "2000-12-17T19:55:11.000Z", "title": "Velocity-force characteristics of a driven interface in a disordered medium", "authors": [ "M. Mueller", "D. Gorokhov", "G. Blatter" ], "comment": "9 pages, RevTeX, 3 postscript figures", "journal": "Phys. Rev. B 63, 184305 (2001)", "doi": "10.1103/PhysRevB.63.184305", "categories": [ "cond-mat.dis-nn", "cond-mat.stat-mech" ], "abstract": "Using a dynamic functional renormalization group treatment of driven elastic interfaces in a disordered medium, we investigate several aspects of the creep-type motion induced by external forces below the depinning threshold $f_c$: i) We show that in the experimentally important regime of forces slightly below $f_c$ the velocity obeys an Arrhenius-type law $v\\sim\\exp[-U(f)/T]$ with an effective energy barrier $U(f)\\propto (f_{c}-f)$ vanishing linearly when f approaches the threshold $f_c$. ii) Thermal fluctuations soften the pinning landscape at high temperatures. Determining the corresponding velocity-force characteristics at low driving forces for internal dimensions d=1,2 (strings and interfaces) we find a particular non-Arrhenius type creep $v\\sim \\exp[-(f_c(T)/f)^{\\mu}]$ involving the reduced threshold force $f_c(T)$ alone. For d=3 we obtain a similar v-f characteristic which is, however, non-universal and depends explicitly on the microscopic cutoff.", "revisions": [ { "version": "v1", "updated": "2000-12-17T19:55:11.000Z" } ], "analyses": { "keywords": [ "disordered medium", "driven interface", "dynamic functional renormalization group treatment", "non-arrhenius type creep", "thermal fluctuations soften" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. B" }, "note": { "typesetting": "RevTeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable" } } }