Laplacian Growth and Diffusion Limited Aggregation: different universality classes
统计力学
2009-11-07 v1
摘要
It had been conjectured that Diffusion Limited Aggregates and Laplacian Growth patterns (with small surface tension) are in the same universality class. Using iterated conformal maps we construct a 1-parameter family of fractal growth patterns with a continuously varying fractal dimension. This family can be used to bound the dimension of Laplacian Growth patterns from below. The bound value is higher than the dimension of Diffusion Limited Aggregates, showing that the two problems belong to two different universality classes.
引用
@article{arxiv.cond-mat/0103126,
title = {Laplacian Growth and Diffusion Limited Aggregation: different universality classes},
author = {Felipe Barra and Benny Davidovitch and Anders Levermann and Itamar Procaccia},
journal= {arXiv preprint arXiv:cond-mat/0103126},
year = {2009}
}
备注
4 pages, 4 figures