Microscopic derivation of Kardar-Parisi-Zhang Equation

Details Microscopic derivation of Kardar-Parisi-Zhang Equation Microscopic derivation of Kardar-Parisi-Zhang Equation

1996-01-17

arxiv.org/abs/cond-mat/9601067v1

Physics

Condensed Matter

4 pages, RevTeX (twocolumn), no figures

Scientific paper

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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