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Nonequilibrium dynamics of a growing interface

Hans C Fogedby
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Abstract

A growing interface subject to noise is described by the Kardar-Parisi-Zhang equation or, equivalently, the noisy Burgers equation. In one dimension this equation is analyzed by means of a weak noise canonical phase space approach applied to the associated Fokker-Planck equation. The growth morphology is characterized by a gas of nonlinear soliton modes with superimposed linear diffusive modes. We also discuss the ensuing scaling properties.

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Hans C Fogedby. 2001-10-17. Nonequilibrium dynamics of a growing interface. https://doi.org/10.1088/0953-8984%2F14%2F7%2F313

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