Noise induced rolls propagation

Abstract

Interfaces in two-dimensional systems exhibit unexpected complex dynamical behaviors. We present a robust effect of noise in two dimensional extended systems: the motion of a static front connecting a stripe pattern with uniform state due to fluctuations. Numerical simulations of a prototype,model show that noise induces rolls propagation. To give a unified description of this robust effect we place ourselves at the onset of the spatial bifurcation and we derive an stochastic normal form, which exhibits the same dynamics. Close to the Maxwell point, an interface equation is obtained, the over damping forced Sine-Gordon model, which allows us to explain origin of this stochastic phenomenon.