Description of random Gaussian surfaces by a four-vertex model.
A lattice model of random self-affine surfaces is derived using the inverse order of applying the six-vertex model. The well-argued simplification of such an approach results in the four-vertex model. The high numerical efficiency of the four-vertex model is demonstrated by calculating the fractal dimension of contour loops (isolines) of fractional Brownian surfaces as the function of the roughness exponent.
Kalda
J
J
Institute of Cybernetics, Tallinn Technical University, Akadeemia tee 21, 12618 Tallinn, Estonia.