Microscopic derivation of Kardar-Parisi-Zhang Equation

1996/01/17 by L. Bertini, Bertini, L.
Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/9601067

4 pages, RevTeX (twocolumn), no figures

arxiv created 1996/01/17 · arxiv updated 2009/11/30

Abstract

We consider the scaling limits for a one-dimensional random growth model, the weakly asymmetric single step Solid-on-Solid process. We show that the fluctuation field, if considered in an appropriate (long) space-time scale, solves the Kardar-Parisi-Zhang equation.

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