Krug, Joachim; Kertesz, Janos; Wolf, Dietrich:
Growth shapes and directed percolation
1990
In: Europhysics letters - epl, Jg. 12 (1990), Heft 2, S. 113 - 118
Artikel/Aufsatz in Zeitschrift / Fach: Physik
Titel:
Growth shapes and directed percolation
Autor(in):
Krug, Joachim; Kertesz, Janos; Wolf, Dietrich im Online-Personal- und -Vorlesungsverzeichnis LSF anzeigen
Erscheinungsjahr:
1990
Erschienen in:
Europhysics letters - epl, Jg. 12 (1990), Heft 2, S. 113 - 118
ISSN:
DOI:
Signatur der UB:

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.