Noise-Induced Order in Extended Systems: A Tutorial

Details Noise-Induced Order in Extended Systems: A Tutorial Noise-Induced Order in Extended Systems: A Tutorial

2006-08-23

arxiv.org/abs/cond-mat/0608511v1

Physics

Condensed Matter

Statistical Mechanics

12 pages

Scientific paper

External fluctuations have a wide variety of constructive effects on the dynamical behavior of spatially extended systems, as described by stochastic partial differential equations. A set of paradigmatic situations exhibiting such effects are briefly reviewed in this paper, in an attempt to provide a concise but thorough introduction to this active field of research, and at the same time an overview of its current status. This work is dedicated to Lutz Schimansky-Geier on the occassion of his 50th anniversary. Through the years, Prof. Schimansky-Geier has made important contributions to the field of spatiotemporal stochastic dynamics, including seminal investigations in the early 1990's on noise effects in front propagation, and studies of noise-induced phase transitions and noise-sustained structures in excitable media, among others.

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