Mapping of 2 + 1 dimensional KPZ growth onto driven lattice gas model of dimers
Mapping of 2 + 1 dimensional KPZ growth onto driven lattice gas model of dimers
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: crystal growth; KPZ equation; Edward-Wilkinson equation; scaling behavior; Monte-Carlo simulation
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Physical Review E 79(2009)2, 021125-021130
DOI: 10.1103/PhysRevE.79.021125
Cited 29 times in Scopus
Permalink: https://www.hzdr.de/publications/Publ-12187