Random noise and pole dynamics in unstable front propagation

Zeev Olami, Barak Galanti, Oleg Kupervasser, Itamar Procaccia

Research output: Contribution to journalArticlepeer-review

42 Scopus citations


The problem of flame propagation is studied as an example of unstable fronts that wrinkle on many scales. The analytic tool of pole expansion in the complex plane is employed to address the interaction of the unstable growth process with random initial conditions and perturbations. We argue that the effect of random noise is immense and that it can never be neglected in sufficiently large systems. We present simulations that lead to scaling laws for the velocity and acceleration of the front as a function of the system size and the level of noise, and analytic arguments that explain these results in terms of the noisy pole dynamics.

Original languageEnglish
Pages (from-to)2649-2663
Number of pages15
JournalPhysical Review E
Issue number3
StatePublished - 1997
Externally publishedYes


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