Growth and Pattern Formation in the Kardar Parisi Zhang equation

Professor Hans Fogedby

Department of Physics and Astronomy
(Aarhus University)

Tuesday, 20 March 2007, 14:15
MatFys Library

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.