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Corrals and critical behavior of the distribution of fluctuational paths.

Dykman, M. I. and Luchinsky, D. G. and McClintock, Peter V. E. and Smelyanskiy, V. N. (1996) Corrals and critical behavior of the distribution of fluctuational paths. Physical Review Letters, 77 (26). pp. 5229-5232. ISSN 1079-7114

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Abstract

We investigate, theoretically and by analog experiment, the distribution of paths for large fluctuations away from a stable state. We have found critical broadening of the distribution of the paths coming to a cusp point that represents the simplest generic singularity in the pattern of most probable (optimal) fluctuational paths in nonequilibrium systems. The critical behavior can be described by a Landau-type theory. We predict and observe two-ridged distributions for arrivals on a switching line that separates the areas reached along optimal paths of different types.

Item Type: Article
Journal or Publication Title: Physical Review Letters
Subjects: Q Science > QC Physics
Departments: Faculty of Science and Technology > Engineering
Faculty of Science and Technology > Physics
ID Code: 32065
Deposited By: Professor P. V. E. McClintock
Deposited On: 09 Mar 2010 10:04
Refereed?: Yes
Published?: Published
Last Modified: 26 Jul 2012 17:05
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/32065

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