| Issue |
Europhys. Lett.
Volume 36, Number 7, December I 1996
|
|
|---|---|---|
| Page(s) | 521 - 526 | |
| Section | Condensed matter: structure, thermal and mechanical properties | |
| DOI | https://doi.org/10.1209/epl/i1996-00263-9 | |
| Published online | 01 September 2002 | |
Proper orthogonal decomposition of DLA clusters
Centre de Recherche Paul Pascal - Avenue Schweitzer, 33600 Pessac,
France
Received:
12
August
1996
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
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