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arXiv · cond-mat/9608023

Noisy Kuramoto-Sivashinsky equation for an erosion model

Kent Baekgaard Lauritsen·Rodolfo Cuerno·Hernan A. Makse
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Abstract

We derive the continuum equation for a discrete model for ion sputtering. We follow an approach based on the master equation, and discuss how it can be truncated to a Fokker-Planck equation and mapped to a discrete Langevin equation. By taking the continuum limit, we arrive at the Kuramoto-Sivashinsky equation with a stochastic noise term.

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Kent Baekgaard Lauritsen, Rodolfo Cuerno, Hernan A. Makse. 1996-08-06. Noisy Kuramoto-Sivashinsky equation for an erosion model. https://doi.org/10.1103/physreve.54.3577

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