Proper orthogonal decomposition of DLA clusters
Centre de Recherche Paul Pascal - Avenue Schweitzer, 33600 Pessac,
Accepted: 17 October 1996
We use the proper orthogonal decomposition to analyze the fluctuations around the mean of DLA clusters grown in a sector. These fluctuations are described as a superposition of orthogonal modes, which appear to have very well-defined shapes. These modes are invariants of the growth, and show a strong selection phenomenon which is reflected in the large-scale structure of the branching pattern of DLA clusters. We also discuss the appearance of discrete scale invariance.
PACS: 68.70.+w – Whiskers and dendrites (growth, structure, and nonelectronic properties) / 47.20.Hw – Morphological instability; phase changes / 05.40.+j – Fluctuation phenomena, random processes, and Brownian motion
© EDP Sciences, 1996