Debabrata Panja
Published 2003-04-16, updated 2003-10-13Version 3
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 $N\to\infty$, $D_f$ approaches zero as $1/\ln^3N$, where $N$ is the average number of particles per correlation volume in the stable phase of the front. This behaviour of $D_f$ stems from the shape fluctuations at the very tip of the front, and is independent of the microscopic model.
Comments: Some minor algebra corrected, to appear in Rapid Comm., Phys. Rev. E
Journal: Phys. Rev. E 68, 065202(R) (2003)
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