The European Physical Journal Special Topics

, Volume 143, Issue 1, pp 171–179 | Cite as

Noise induced rolls propagation

  • M. G. Clerc
  • C. Falcon
  • D. Escaff
  • E. Tirapegui


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.


European Physical Journal Special Topic Front Propagation Uniform State Prototype Model Stripe Pattern 
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Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Authors and Affiliations

  • M. G. Clerc
    • 1
  • C. Falcon
    • 2
  • D. Escaff
    • 3
  • E. Tirapegui
    • 1
  1. 1.Departamento de FísicaFacultad de Ciencias Físicas y Matemáticas, Universidad de ChileSantiagoChile
  2. 2.Laboratoire de Physique StatistiqueParis Cedex 05France
  3. 3.Departamento de FísicaFacultad de Ciencias, Universidad de ChileSantiagoChile

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