Understanding surface patterning by lattice gas models

G. Ódor, Bartosz Liedke, Karl Heinz Heinig

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

In present day nanotechnology, surface structures are effectively made via natural processes instead of conventional carving methods. We show that the emergence of different surface patterns can be understood by suitable mapping onto the simple nonequilibrium lattice gases. Surface adsorption/desorption processes correspond to migration of oriented dimers representing local heights. The surface diffusion can be mapped onto attracting or repelling moves of dimers of the lattice. While attracting dimer moves describe roughening surfaces, repulsive ones realize smoothing processes. The competition of these different reactions leads to nontrivial surface pattern formation. With the help of this effective approach, difficult unanswered questions of surface growth and scaling can be investigated and have been resolved. Besides, the mapping onto binary variables facilitates effective simulations and enables us to consider very large system sizes. We have shown that the fundamental Kardar-Parisi-Zhang universality class is stable against a competing roughening diffusion. A strong smoothing diffusion leads to logarithmic growth and mean-field class scaling behavior in two dimensions. These lattice gas simulations result in ripple coarsening, if parallel surface currents are present, otherwise logarithmic behavior can be observed.

Original languageEnglish
Title of host publicationNanofabrication by Ion-Beam Sputtering: Fundamentals and Applications
PublisherPan Stanford Publishing Pte. Ltd.
Pages259-295
Number of pages37
ISBN (Print)9789814303750
DOIs
Publication statusPublished - Nov 30 2012

Fingerprint

Gases
Dimers
Surface diffusion
Coarsening
Nanotechnology
Surface structure
Desorption
Adsorption

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Ódor, G., Liedke, B., & Heinig, K. H. (2012). Understanding surface patterning by lattice gas models. In Nanofabrication by Ion-Beam Sputtering: Fundamentals and Applications (pp. 259-295). Pan Stanford Publishing Pte. Ltd.. https://doi.org/10.4032/9789814303767

Understanding surface patterning by lattice gas models. / Ódor, G.; Liedke, Bartosz; Heinig, Karl Heinz.

Nanofabrication by Ion-Beam Sputtering: Fundamentals and Applications. Pan Stanford Publishing Pte. Ltd., 2012. p. 259-295.

Research output: Chapter in Book/Report/Conference proceedingChapter

Ódor, G, Liedke, B & Heinig, KH 2012, Understanding surface patterning by lattice gas models. in Nanofabrication by Ion-Beam Sputtering: Fundamentals and Applications. Pan Stanford Publishing Pte. Ltd., pp. 259-295. https://doi.org/10.4032/9789814303767
Ódor G, Liedke B, Heinig KH. Understanding surface patterning by lattice gas models. In Nanofabrication by Ion-Beam Sputtering: Fundamentals and Applications. Pan Stanford Publishing Pte. Ltd. 2012. p. 259-295 https://doi.org/10.4032/9789814303767
Ódor, G. ; Liedke, Bartosz ; Heinig, Karl Heinz. / Understanding surface patterning by lattice gas models. Nanofabrication by Ion-Beam Sputtering: Fundamentals and Applications. Pan Stanford Publishing Pte. Ltd., 2012. pp. 259-295
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