Patterns in the Kardar–Parisi–Zhang equation

Pramana

Hans C Fogedby1 2¹ 

[1] Department of Physics and Astronomy, Aarhus University, Ny Munkegade, DK-8200, Aarhus C, Denmark$$

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

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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.

【 授权许可】

Unknown