dorsal/arxiv
View SchemaThe branching structure of diffusion-limited aggregates
| Authors | Thomas C. Halsey |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9705006 |
| URL | https://arxiv.org/abs/patt-sol/9705006 |
| DOI | 10.1209/epl/i1997-00311-6 |
Abstract
I analyze the topological structures generated by diffusion-limited aggregation (DLA), using the recently developed "branched growth model". The computed bifurcation number B for DLA in two dimensions is B ~ 4.9, in good agreement with the numerically obtained result of B ~ 5.2. In high dimensions, B -> 3.12; the bifurcation ratio is thus a decreasing function of dimensionality. This analysis also determines the scaling properties of the ramification matrix, which describes the hierarchy of branches.
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"abstract": "I analyze the topological structures generated by diffusion-limited\naggregation (DLA), using the recently developed \"branched growth model\". The\ncomputed bifurcation number B for DLA in two dimensions is B ~ 4.9, in good\nagreement with the numerically obtained result of B ~ 5.2. In high dimensions,\nB -\u003e 3.12; the bifurcation ratio is thus a decreasing function of\ndimensionality. This analysis also determines the scaling properties of the\nramification matrix, which describes the hierarchy of branches.",
"arxiv_id": "patt-sol/9705006",
"authors": [
"Thomas C. Halsey"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1209/epl/i1997-00311-6",
"title": "The branching structure of diffusion-limited aggregates",
"url": "https://arxiv.org/abs/patt-sol/9705006"
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