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 gradient m on the surface heights, and the latter by site-dependent random growth probabilities. Here we consider the limit m ∞, where the surface grows at the site with minimal random number, independent of 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.
Original language | English |
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Pages (from-to) | 603-612 |
Number of pages | 10 |
Journal | International Journal of Modern Physics C |
Volume | 13 |
Issue number | 5 |
DOIs | |
State | Published - 1 Jun 2002 |
Externally published | Yes |
Keywords
- Monte Carlo simulation
- Surface growth
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- General Physics and Astronomy
- Computer Science Applications
- Computational Theory and Mathematics