Noisy Kuramoto-Sivashinsky equation for an erosion model

Details Noisy Kuramoto-Sivashinsky equation for an erosion model Noisy Kuramoto-Sivashinsky equation for an erosion model

1996-08-06

arxiv.org/abs/cond-mat/9608023v1

Phys. Rev. E 54, 3577-3580 (1996).

Physics

Condensed Matter

latex (w/ multicol.sty), 4 pages; to appear in Physical Review E (Oct 1996)

Scientific paper

10.1103/PhysRevE.54.3577

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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