Negative velocity fluctuations of pulled reaction fronts

Abstract

The position of a reaction front, propagating into an unstable state, fluctuates because of the shot noise. What is the probability that the fluctuating front moves considerably slower than its deterministic counterpart? Can the noise arrest the front motion for some time, or even make it move in the wrong direction? We present a WKB theory that assumes many particles in the front region and answers these questions for the microscopic model A->2A, 2A->A and random walk.

5 pages, 2 figures, revised version

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• Towards Classification of Phase Transitions in Reaction--Diffusion Models
• Extinction rates of established spatial populations
• Six out of equilibrium lectures
• Velocity fluctuations of population fronts propagating into metastable states
• Asymptotic Scaling of the Diffusion Coefficient of Fluctuating "Pulled" Fronts

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