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中国物理学会期刊

有限步扩散反应置限分形聚集

CSTR: 32037.14.aps.47.542

DIFFUSION AND REACTION-LIMITED FRACTAL AGGREGATION WITH FINITE STEPS

CSTR: 32037.14.aps.47.542
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  • 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.

     

    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.

     

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