Aspects of Nonequilibrium: Growth and Pattern Formation in the Kardar Parisi Zhang equation for a growing interface
by Hans Fogedby
Abstract: 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.
For More Information: Iwan Jensen I.Jensen@ms.unimelb.edu.au