Localized growth modes, dynamic textures, and upper critical dimension for the Kardar-Parisi-Zhang equation in the weak noise limit

Details Localized growth modes, dynamic textures, and upper critical dimension for the Kardar-Parisi-Zhang equation in the weak noise limit Localized growth modes, dynamic textures, and upper critical dimension for the Kardar-Parisi-Zhang equation in the weak noise limit

2004-11-08

arxiv.org/abs/cond-mat/0411194v3

Physics

Condensed Matter

Statistical Mechanics

10 pages in revtex and 2 figures in eps, a few typos corrected

Scientific paper

10.1103/PhysRevLett.94.195702

A nonperturbative weak noise scheme is applied to the Kardar-Parisi-Zhang
equation for a growing interface in all dimensions. It is shown that the growth
morphology can be interpreted in terms of a dynamically evolving texture of
localized growth modes with superimposed diffusive modes. Applying Derrick's
theorem it is conjectured that the upper critical dimension is four.

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