Patterns in the Kardar-Parisi-Zhang equation

Details Patterns in the Kardar-Parisi-Zhang equation Patterns in the Kardar-Parisi-Zhang equation

2008-02-09

arxiv.org/abs/0802.1285v1

Physics

Condensed Matter

Statistical Mechanics

8 pages revtex, 4 eps figures

Scientific paper

10.1007/s12043-008-0158-1

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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