DIFFUSION-LIMITED AGGREGATION
DIFFUSION-LIMITED AGGREGATION
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DOI：
10.1103/physrevb.27.5686
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发表时间：
1983-01-01
影响因子：
3.7
通讯作者：
SANDER, LM
中科院分区：
文献类型：
--
作者：
WITTEN, TA;SANDER, LM
扩散限制聚集（DLA）是物质不可逆地结合形成灰尘，烟灰，树枝状晶体和其他随机物体的过程的理想化，其中限速步骤是物质向聚集体的扩散。我们研究的过程中，从几个角度强调的事实，它显然会产生尺度不变的对象，其Hausdorff维数是独立的短程细节。我们证明了DLA没有上临界维数。我们应用标度不变性来研究聚集体的生长、凝胶化和结构因子。
Diffusion-limited aggregation (DLA) is an idealization of the process by which matter irreversibly combines to form dust, soot, dendrites, and other random objects in the case where the rate-limiting step is diffusion of matter to the aggregate. We study the process from several points of view stressing the fact that it apparently gives rise to scale-invariant objects whose Hausdorff dimension is independent of short-range details. We show that DLA has no upper critical dimension. We apply scale invariance to study growth, gelation, and the structure factor of aggregates.