KPZ growth mapping onto driven lattice gas model of n-mers


KPZ growth mapping onto driven lattice gas model of n-mers

Odor, G.; Liedke, B.; Heinig, K.-H.

We show that a 2+1 dimensional discrete surface growth model exhibiting KPZ class scaling can be mapped onto a two dimensional conserved lattice gas model of directed dimers. In case of KPZ height anisotropy the dimers follow driven diffusive motion. We confirm by numerical simulations that the scaling exponents of the dimer model are in agreement with those of the 2+1 dimensional KPZ class. This opens up the possibility of analyzing growth models via reaction-diffusion models, which allow much more efficient computer simulations.

Keywords: layer growth; ion erosion; scaling behavior; KPZ equation

  • Lecture (Conference)
    Workshop on Statistical Physics, 16.04.2009, Kisterem, Budapest Roosevelt tér 9, Hungary

Permalink: https://www.hzdr.de/publications/Publ-12684
Publ.-Id: 12684