有限步扩散反应置限分形聚集

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. 关键词：

DIFFUSION AND REACTION-LIMITED FRACTAL AGGREGATION WITH FINITE STEPS

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.