English

Nonequilibrium dynamics of a growing interface

Statistical Mechanics 2014-10-07 v2 Soft Condensed Matter

Abstract

A growing interface subject to noise is described by the Kardar-Parisi-Zhang equation or, equivalently, the noisy Burgers equation. In one dimension this equation is analyzed by means of a weak noise canonical phase space approach applied to the associated Fokker-Planck equation. The growth morphology is characterized by a gas of nonlinear soliton modes with superimposed linear diffusive modes. We also discuss the ensuing scaling properties.

Keywords

Cite

@article{arxiv.cond-mat/0108177,
  title  = {Nonequilibrium dynamics of a growing interface},
  author = {Hans C Fogedby},
  journal= {arXiv preprint arXiv:cond-mat/0108177},
  year   = {2014}
}

Comments

14 pages, 11 figures, conference proceeding; a few corrections have been added