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Patterns in the Kardar-Parisi-Zhang equation

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Abstract

We review a recent asymptotic weak noise approach to the Kardar-Parisi-Zhang equation for the kinetic growth of an interface in higher dimensions. The weak noise approach provides a many-body picture of a growing interface in terms of a network of localized growth modes. Scaling in 1d is associated with a gapless domain wall mode. The method also provides an independent argument for the existence of an upper critical dimension.

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Correspondence to Hans C. Fogedby.

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Fogedby, H.C. Patterns in the Kardar-Parisi-Zhang equation. Pramana - J Phys 71, 253–262 (2008). https://doi.org/10.1007/s12043-008-0158-1

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  • DOI: https://doi.org/10.1007/s12043-008-0158-1

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