• Patterns in the Kardar–Parisi–Zhang equation

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      https://www.ias.ac.in/article/fulltext/pram/071/02/0253-0262

    • Keywords

       

      Scaling; weak noise; growth modes; dynamical network; upper critical dimension; nonlinear Schrödinger equation; domain walls; solitons; dispersion; diffusive modes.

    • 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.

    • Author Affiliations

       

      Hans C Fogedby1 2

      1. Department of Physics and Astronomy, Aarhus University, Ny Munkegade, DK-8200, Aarhus C, Denmark
      2. Niels Bohr Institute, University of Copenhagen, DK-2100, Copenhagen Ø, Denmark
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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