{ "id": "cond-mat/0303167", "version": "v1", "published": "2003-03-10T12:17:23.000Z", "updated": "2003-03-10T12:17:23.000Z", "title": "Limit cycle induced by multiplicative noise in a system of coupled Brownian motors", "authors": [ "Sergio Mangioni", "Horacio S. Wio" ], "comment": "Submitted to Phys. Rev. E, RevTex, 18 pgs, 5 figures", "doi": "10.1103/PhysRevE.67.056616", "categories": [ "cond-mat.stat-mech" ], "abstract": "We study a model consisting of $N$ nonlinear oscillators with {\\em global periodic} coupling and {\\em local multiplicative} and additive noises. The model was shown to undergo a nonequilibrium phase transition towards a broken-symmetry phase exhibiting noise-induced \"ratchet\" behavior. A previous study \\cite{[7]} focused on the relationship between the character of thehysteresis loop, the number of ``homogeneous'' mean-field solutions and the shape of the stationary mean-field probability distribution function. Here we show --as suggested by the absence of stable solutions when the load force is beyond a critical value-- the existence of a limit cycle induced by both:multiplicative noise and {\\em global periodic} coupling.", "revisions": [ { "version": "v1", "updated": "2003-03-10T12:17:23.000Z" } ], "analyses": { "keywords": [ "limit cycle", "coupled brownian motors", "multiplicative noise", "stationary mean-field probability distribution function", "global periodic" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. E" }, "note": { "typesetting": "RevTeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }