Diffusion-limited aggregation on curved surfaces
Diffusion-limited aggregation on curved surfaces
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DOI：
10.1209/0295-5075/91/46005
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发表时间：
2010-08-01
期刊：
影响因子：
1.8
通讯作者：
Bazant, M. Z.
中科院分区：
文献类型：
--
作者：
Choi, J.;Crowdy, D.;Bazant, M. Z.
我们开发了一个一般理论的运输限制聚集现象发生在曲面上，随机迭代的共形映射和共形投影的复杂平面的基础上。为了说明这一理论，我们使用赤平投影来模拟常高斯曲率表面上的扩散限制聚集（DLA），包括球面（K>0）和伪球面（K
We develop a general theory of transport-limited aggregation phenomena occurring on curved surfaces, based on stochastic iterated conformal maps and conformal projections to the complex plane. To illustrate the theory, we use stereographic projections to simulate diffusion-limited aggregation (DLA) on surfaces of constant Gaussian curvature, including the sphere (K>0) and the pseudo-sphere (K