Observable and hidden singular features of large fluctuations in nonequilibrium systems

Preprint

17 October 1994

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9410056

Abstract

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.

Keywords

NONEQUILIBRIUM SYSTEMS
LARGE FLUCTUATIONS
SINGULAR FEATURES
HIDDEN SINGULAR
LOCAL FEATURES
SINGULARITIES
STUDY LOCAL
CAUSTICS
OPTIMAL

All Related Versions

Version 1, 1994-10-17, ArXiv
Published version: Physics Letters A, 195 (1), 53.

This publication has 0 references indexed in Scilit: