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arxiv: cond-mat/9601067 · v1 · submitted 1996-01-17 · ❄️ cond-mat

Microscopic derivation of Kardar-Parisi-Zhang Equation

classification ❄️ cond-mat
keywords equationkardar-parisi-zhangappropriateasymmetricconsiderconsideredderivationfield
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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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