{ "id": "cond-mat/0012246", "version": "v1", "published": "2000-12-13T23:06:50.000Z", "updated": "2000-12-13T23:06:50.000Z", "title": "Depinning with dynamic stress overshoots: Mean field theory", "authors": [ "J. M. Schwarz", "Daniel S. Fisher" ], "comment": "4 pages, 1 figure", "doi": "10.1103/PhysRevLett.87.096107", "categories": [ "cond-mat.dis-nn", "cond-mat.stat-mech" ], "abstract": "An infinite-range model of an elastic manifold pulled through a random potential by an applied force $F$ is analyzed focusing on inertial effects. When the inertial parameter, $M$, is small, there is a continuous depinning transition from a small-$F$ static phase to a large-$F$ moving phase. When $M$ is increased to $M_c$, a novel tricritical point occurs. For $M\\!>\\!M_c$, the depinning transition becomes discontinuous with hysteresis. Yet, the distribution of discrete ``avalanche''-like events as the force is increased in the static phase for $M\\!>\\!M_c$ has an unusual mixture of first-order-like and critical features.", "revisions": [ { "version": "v1", "updated": "2000-12-13T23:06:50.000Z" } ], "analyses": { "keywords": [ "mean field theory", "dynamic stress overshoots", "static phase", "novel tricritical point occurs", "depinning transition" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. Lett." }, "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable" } } }