Ripples and dots generated by lattice gases

Géza Ódor, Bartosz Liedke, Karl Heinz Heinig, Jeffrey Kelling

Research output: Contribution to journalArticle

4 Citations (Scopus)


We show that the emergence of different surface patterns (ripples, dots) can be well understood by a suitable mapping onto the simplest nonequilibrium lattice gases and cellular automata. Using this efficient approach difficult, unanswered questions of surface growth and its scaling can be studied. The mapping onto binary variables facilitates effective simulations and enables one to consider very large system sizes. We have confirmed that the fundamental Kardar-Parisi-Zhang (KPZ) universality class is stable against a competing roughening diffusion, while a strong smoothing diffusion leads to logarithmic growth, a mean-field type behavior in two dimensions. The model can also describe anisotropic surface diffusion processes effectively. By analyzing the time-dependent structure factor we give numerical estimates for the wavelength coarsening behavior.

Original languageEnglish
Pages (from-to)4186-4190
Number of pages5
JournalApplied Surface Science
Issue number9
Publication statusPublished - Feb 15 2012


  • Coarsening
  • Dot
  • KPZ
  • Kuramoto-Sivashinsky
  • Lattice gas
  • Mullins-Herring
  • PSD
  • Ripple
  • Scaling

ASJC Scopus subject areas

  • Chemistry(all)
  • Condensed Matter Physics
  • Physics and Astronomy(all)
  • Surfaces and Interfaces
  • Surfaces, Coatings and Films

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