Ripples and dots generated by lattice gases

G. Ódor, Bartosz Liedke, Karl Heinz Heinig, Jeffrey Kelling

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

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
Volume258
Issue number9
DOIs
Publication statusPublished - Feb 15 2012

Fingerprint

Gases
Surface diffusion
Cellular automata
Coarsening
Wavelength

Keywords

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

ASJC Scopus subject areas

  • Surfaces, Coatings and Films

Cite this

Ripples and dots generated by lattice gases. / Ódor, G.; Liedke, Bartosz; Heinig, Karl Heinz; Kelling, Jeffrey.

In: Applied Surface Science, Vol. 258, No. 9, 15.02.2012, p. 4186-4190.

Research output: Contribution to journalArticle

Ódor, G, Liedke, B, Heinig, KH & Kelling, J 2012, 'Ripples and dots generated by lattice gases', Applied Surface Science, vol. 258, no. 9, pp. 4186-4190. https://doi.org/10.1016/j.apsusc.2011.10.013
Ódor, G. ; Liedke, Bartosz ; Heinig, Karl Heinz ; Kelling, Jeffrey. / Ripples and dots generated by lattice gases. In: Applied Surface Science. 2012 ; Vol. 258, No. 9. pp. 4186-4190.
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