W. von Bloh, A. Block, and H.-J. Schellnhuber

Physica A 191, 108-112 (1992)

Fachbereich Physik and Institut für Chemie und Biologie des Meeres, Universität Oldenburg, 26111 Oldenburg, Germany.

Abstract

Aggregation by particle-cluster interaction of type r^-a leads to tenuos growth products with continuously tunable dimension. By using a=2.7, aggregation clusters are generated with scaling behavior (mass scaling, capacity dimension and fjord structure) similar to the one observed in DLA aggregates. It is shown that a simple backward iteration scheme provides an accurate estimation of the interaction induced off-lattice growth probabilities, a phase transition in the multifractal measure is found.