{ "id": "cond-mat/0505260", "version": "v1", "published": "2005-05-10T20:43:27.000Z", "updated": "2005-05-10T20:43:27.000Z", "title": "Scaling in activated escape of underdamped systems", "authors": [ "M. I. Dykman", "I. B. Schwartz", "M. Shapiro" ], "comment": "9 pages", "doi": "10.1103/PhysRevE.72.021102", "categories": [ "cond-mat.mes-hall", "cond-mat.stat-mech" ], "abstract": "Noise-induced escape from a metastable state of a dynamical system is studied close to a saddle-node bifurcation point, but in the region where the system remains underdamped. The activation energy of escape scales as a power of the distance to the bifurcation point. We find two types of scaling and the corresponding critical exponents.", "revisions": [ { "version": "v1", "updated": "2005-05-10T20:43:27.000Z" } ], "analyses": { "keywords": [ "activated escape", "underdamped systems", "saddle-node bifurcation point", "activation energy", "escape scales" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. E" }, "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable" } } }