SCALING IN A SIMPLE MODEL FOR SURFACE GROWTH IN A RANDOM MEDIUM

Amnon Aharony () and Dietrich Stauffer ()
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Amnon Aharony: School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Ramat Aviv, Tel Aviv 69978, Israel;
Dietrich Stauffer: School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Ramat Aviv, Tel Aviv 69978, Israel;

International Journal of Modern Physics C (IJMPC), 2002, vol. 13, issue 05, 603-612

Abstract: Surface growth in random media is usually governed by both the surface tension and the random local forces. Simulations on lattices mimic the former by imposing a maximum gradientmon the surface heights, and the latter by site-dependent random growth probabilities. Here we consider the limitm → ∞, where the surface grows at the site with minimal random number,independentof its neighbors. The resulting height distribution obeys a simple scaling law, which is destroyed when local surface tension is included. Our model is equivalent to Yee's simplification of the Bak–Sneppen model for the extinction of biological species, where the height represents the number of times a biological species is exchanged.

Keywords: Surface growth; Monte Carlo simulation (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1142/S0129183102003383

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