{ "id": "0707.2555", "version": "v1", "published": "2007-07-17T16:08:54.000Z", "updated": "2007-07-17T16:08:54.000Z", "title": "Generalization of escape rate from a metastable state driven by external cross-correlated noise processes", "authors": [ "Jyotipratim Ray Chaudhuri", "Sudip Chattopadhyay", "Suman Kumar Banik" ], "comment": "9 pages, 1 figure", "journal": "Phys. Rev. E 76, 021125 (2007)", "doi": "10.1103/PhysRevE.76.021125", "categories": [ "cond-mat.stat-mech", "cond-mat.soft" ], "abstract": "We propose generalization of escape rate from a metastable state for externally driven correlated noise processes in one dimension. In addition to the internal non-Markovian thermal fluctuations, the external correlated noise processes we consider are Gaussian, stationary in nature and are of Ornstein-Uhlenbeck type. Based on a Fokker-Planck description of the effective noise processes with finite memory we derive the generalized escape rate from a metastable state in the moderate to large damping limit and investigate the effect of degree of correlation on the resulting rate. Comparison of the theoretical expression with numerical simulation gives a satisfactory agreement and shows that by increasing the degree of external noise correlation one can enhance the escape rate through the dressed effective noise strength.", "revisions": [ { "version": "v1", "updated": "2007-07-17T16:08:54.000Z" } ], "analyses": { "subjects": [ "05.40.-a", "02.50.Ey", "82.20.Uv" ], "keywords": [ "external cross-correlated noise processes", "escape rate", "metastable state driven", "driven correlated noise processes", "generalization" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review E", "year": 2007, "month": "Aug", "volume": 76, "number": 2, "pages": "021125" }, "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007PhRvE..76b1125R" } } }