Growth shapes and directed percolation
In: EPL (Europhysics Letters), Vol. 12 (1990), No. 2, pp. 113 - 118
Title:
Growth shapes and directed percolation
Author:
Krug, Joachim;Kertesz, Janos;Wolf, DietrichUDE
- GND
- 1273280393
- LSF ID
- 1114
- Other
- connected with university
Year of publication:
1990
Abstract:
Universal growth shape singularities are derived for a class of growth models which exhibit a kinetic roughening transition related to directed percolation. The curvature of the surface vanishes continuously at the transition point where the surface becomes anomalously flat. The shape close to a facet is determined by the fluctuations of the facet boundary. This implies a relation between d-dimensional directed percolation and (d − 1)-dimensional Edentype growth and leads to the exact result ν = 3/2 for the supercritical exponent of the angle-dependent correlation length in three-dimensional directed percolation.