{ "id": "cond-mat/9704036", "version": "v1", "published": "1997-04-04T03:51:25.000Z", "updated": "1997-04-04T03:51:25.000Z", "title": "Logarithmic susceptibility and optimal control of large fluctuations", "authors": [ "M. I. Dykman", "H. Rabitz", "V. N. Smelyanskiy", "B. E. Vugmeister" ], "comment": "The article contains 4 pages and two figures", "categories": [ "cond-mat.stat-mech" ], "abstract": "We analyze the probabilities of large infrequent fluctuations in systems driven by external fields. In a broad range of the field magnitudes, the logarithm of the fluctuation probability is linear in the field magnitude, and the response can be characterized by a logarithmic susceptibility. This susceptibility is used to analyze optimal control of large fluctuations. For nonadiabatic driving, the activation energies for nucleation and for escape of a Brownian particle display singular behavior as a function of the field shape.", "revisions": [ { "version": "v1", "updated": "1997-04-04T03:51:25.000Z" } ], "analyses": { "keywords": [ "large fluctuations", "logarithmic susceptibility", "brownian particle display singular behavior", "field magnitude", "analyze optimal control" ], "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1997cond.mat..4036D" } } }