Observable and hidden singular features of large fluctuations in nonequilibrium systems

Details Observable and hidden singular features of large fluctuations in nonequilibrium systems Observable and hidden singular features of large fluctuations in nonequilibrium systems

1994-10-17

arxiv.org/abs/cond-mat/9410056v1

Physics

Condensed Matter

10 pages, 3 ps figures by request, LaTeX Article Format (In press, Phys. Lett. A)

Scientific paper

10.1016/0375-9601(94)90426-X

We study local features, and provide a topological insight into the global structure of the probability density distribution and of the pattern of the optimal paths for large rare fluctuations away from a stable state. In contrast to extremal paths in quantum mechanics, the optimal paths do {\it not} encounter caustics. We show how this occurs, and what, instead of caustics, are the experimentally observable singularities of the pattern. We reveal the possibility for a caustic and a switching line to start at a saddle point, and discuss the consequences.

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