New Algorithm for Parallel Laplacian Growth by Iterated Conformal Maps
统计力学
2009-11-10 v1 无序系统与神经网络
混沌动力学
摘要
We report a new algorithm to generate Laplacian Growth Patterns using iterated conformal maps. The difficulty of growing a complete layer with local width proportional to the gradient of the Laplacian field is overcome. The resulting growth patterns are compared to those obtained by the best algorithms of direct numerical solutions. The fractal dimension of the patterns is discussed.
引用
@article{arxiv.cond-mat/0305521,
title = {New Algorithm for Parallel Laplacian Growth by Iterated Conformal Maps},
author = {Anders Levermann and Itamar Procaccia},
journal= {arXiv preprint arXiv:cond-mat/0305521},
year = {2009}
}
备注
Sumitted to Phys. Rev. Lett. Further details at http://www.pik-potsdam.de/~anders