Front propagation into an unstable state in the presence of noise

Gene F. Mazenko, Oriol T. Valls, Patrizia Ruggiero

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

We show that the propagation of a front into an unstable medium is qualitatively affected by the presence of noise in the case of dynamics generated by a nonconserved time-dependent Ginzburg-Landau model. In the absence of noise, well-known, mathematically rigorous results establish that fronts propagate with constant velocity. Noise, represented by nonzero temperature fluctuations, generates domain growth ahead of the front. The competition between the propagating front and bulk domains leads to a very sharp crossover to diffusive motion for the front and a velocity which decreases in time as t-1/2. These results are obtained by numerical simulations and are in agreement with a theoretical calculation using recently developed techniques.

Original languageEnglish (US)
Pages (from-to)384-390
Number of pages7
JournalPhysical Review B
Volume40
Issue number1
DOIs
StatePublished - Jan 1 1989

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