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Published on: September 26, 2016
Asymptotic scaling of the diffusion coefficient of fluctuating "pulled" fronts
1Institute for Theoretical Physics, Universiteit van Amsterdam, Valckenierstraat 65, 1018 XE Amsterdam, The Netherlands.
Abstract:
We present a (heuristic) theoretical derivation for the scaling of the diffusion coefficient D(f) for fluctuating "pulled" fronts. In agreement with earlier numerical simulations, we find that as N--> infinity, D(f) approaches zero as 1/ln(3) N, where N is the average number of particles per correlation volume in the stable phase of the front. This behavior of D(f) stems from the shape fluctuations at the very tip of the front, and is independent of the microscopic model.
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