Asymptotic Scaling of the Diffusion Coefficient of Fluctuating "Pulled" Fronts

dc.creatorPanja, Debabrata
dc.date2003-04-16
dc.date2003-10-13
dc.date.accessioned2026-07-07T02:50:49Z
dc.date.available2026-07-07T02:50:49Z
dc.descriptionWe 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.
dc.descriptionSome minor algebra corrected, to appear in Rapid Comm., Phys. Rev. E
dc.identifierhttps://arxiv.org/abs/cond-mat/0304371
dc.identifierhttp://arxiv.org/abs/cond-mat/0304371
dc.identifierPhys. Rev. E 68, 065202(R) (2003)
dc.identifierdoi:10.1103/PhysRevE.68.065202
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/21236
dc.subjectStatistical Mechanics
dc.subjectSoft Condensed Matter
dc.titleAsymptotic Scaling of the Diffusion Coefficient of Fluctuating "Pulled" Fronts
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