Statistical Physics

Tracing a diffusion-limited-aggregate: self-affine versus self-similar scaling

The geometry of diffusion-limited aggregation clusters is mapped into single-valued functions by tracing the surface of the aggregate and recording the X (or Y) coordinate of the position of a walker moving along perimeter of the cluster as a function of the arc length. Our numerical results and scaling arguments show that the related plots can be considered as self-affine functions whose scaling behavior is determined by the exponent H=1/D, where D is fractal dimension of the aggregates.


More publications
L.A.N. Amaral, A.-L. Barabási, H.A. Makse, H.E. Stanley

Physical Review E 52, 4087–5005 (1995)

A.-L. Barabási

Fractals 1, 846–859 (1993)