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arXiv · 0802.1285

Patterns in the Kardar-Parisi-Zhang equation

Hans C. Fogedby
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Abstract

We review a recent asymptotic weak noise approach to the Kardar-Parisi-Zhang equation for the kinetic growth of an interface in higher dimensions. The weak noise approach provides a many body picture of a growing interface in terms of a network of localized growth modes. Scaling in 1d is associated with a gapless domain wall mode. The method also provides an independent argument for the existence of an upper critical dimension.

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BibTeXRIS

Hans C. Fogedby. 2008-02-09. Patterns in the Kardar-Parisi-Zhang equation. https://doi.org/10.1007/s12043-008-0158-1

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