Growth and Pattern Formation in the Kardar Parisi Zhang equation
Professor Hans Fogedby
Department of Physics and Astronomy
Tuesday, 20 March 2007, 14:15
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.