J. M. Sancho, J. Garcia-Ojalvo
Published 2006-08-23Version 1
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.
Effective action for stochastic partial differential equations
Complex noise in diffusion-limited reactions of replicating and competing species
Auxiliary Field Loop Expansion for the Effective Action for Stochastic Partial Differential Equations I
