Asymptotic Scaling of the Diffusion Coefficient of Fluctuating "Pulled" Fronts
Abstract
We present a (heuristic) theoretical derivation for the scaling of the diffusion coefficient Df for fluctuating ``pulled'' fronts. In agreement with earlier numerical simulations, we find that as N∞, Df approaches zero as 1/3N, where N is the average number of particles per correlation volume in the stable phase of the front. This behaviour of Df stems from the shape fluctuations at the very tip of the front, and is independent of the microscopic model.
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