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Distribution of fluctuational paths in noise-driven systems

✍ Scribed by M.I. Dykman; V.N. Smelyanskiy

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
196 KB
Volume
23
Category
Article
ISSN
0749-6036

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✦ Synopsis

Dynamics of a system that performs a large fluctuation to a given state is essentially deterministic: the distribution of fluctuational paths peaks sharply at a certain optimal path along which the system is most likely to move. For the general case of a system driven by colored Gaussian noise, we provide a formulation of the variational problem for optimal paths. We also consider the prehistory problem, which makes it possible to analyze the shape of the distribution of fluctuational paths that arrive at a given state. We obtain, and solve in the limiting case, a set of linear equations for the characteristic width of this distribution.

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