Gradient-limited surfaces
arXiv:cond-mat/0203593 · doi:10.1103/PhysRevLett.90.118501
Abstract
A simple scenario of the formation of geological landscapes is suggested and the respective lattice model is derived. Numerical analysis shows that the arising non-Gaussian surfaces are characterized by the scale-dependent Hurst exponent, which varies from 0.7 to 1, in agreement with experimental data.
4 pages, 5 figures