4 papers
Analytic Theory of Fractal Growth Patterns in 2 Dimensions
Benny Davidovich, Itamar Procaccia
Diffusion Limited Aggregation (DLA) is a model of fractal growth that was introduced in 1981 and had since attained a paradigmatic status due to its simplicity and its underlying r…
Conformal Dynamics of Fractal Growth Patterns Without Randomness
Benny Davidovich, M. J. Feigenbaum, H. G. E. Hentschel +1
Many models of fractal growth patterns (like Diffusion Limited Aggregation and Dielectric Breakdown Models) combine complex geometry with randomness; this double difficulty is a st…
Dynamics of Finger Formation in Laplacian Growth without Surface Tension
Mitchell J. Feigenbaum, Itamar Procaccia, Benny Davidovich
We study the dynamics of "finger" formation in Laplacian growth without surface tension in a channel geometry (the Saffman-Taylor problem). Carefully determining the role of bounda…
Diffusion Limited Aggregation and Iterated Conformal Maps
Benny Davidovich, H. G. E. Hentschel, Zeev Olami +3
The creation of fractal clusters by diffusion limited aggregation (DLA) is studied by using iterated stochastic conformal maps following the method proposed recently by Hastings an…