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KTH/Nordita/SU seminar in Theoretical Physics

Aspects of Nonequilibrium: Growth and Pattern Formation in the Kardar Parisi Zhang equation for a growing interface

by Hans Fogedby (Aarhus)



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.