有限步扩散反应置限分形聚集

DIFFUSION AND REACTION LIMITED FRACTAL AGGREGATION WITH FINITE STEPS

综合考虑扩散粒子浓度ｎ、粒子扩散限制范围Δ、扩散粒子与种粒子或团簇相遇时，反应概率Ｐ及粒子扩散步数Ｗ的影响，提出了有限步扩散反应置限聚集的分形生长模型，模拟得到一系列典型的聚集生长图形，计算了相应的分形维数．结果表明，在粒子浓度ｎ较小时，呈离散团簇状生长；而在粒子浓度较大时，则随反应概率Ｐ或粒子扩散步数Ｗ的增大，从离散团簇状生长转变为连续枝叉状生长．

Abstract By taking into account the influence of the concentration of particles n ,diffusive range Δ ,the probability of reaction P and maximum diffusive steps W ,the diffusion and reaction limited aggregation with finite steps model is presented.The varied patterns of aggregation and their fractal dimension are obtained under condition of nearest neighbor.The results show that the form of aggregation is discrete cluster at lower n .However,the growth morphologies change from discrete cluster to continuous dendrite with the increase of P or W at higher n .