摘要
在扩散限制凝聚（DLA）模型基础上，采用Monte Carlo方法模拟了具有幂次相互作用的磁性粒子动力学凝聚过程．重点研究了在不同幂指数。值下团簇的形貌及其分形维数Df随耦合参数膨的演化规律．模拟结果表明：对于较大的α值，即α=5时，团簇形貌随雕的变化较小，其分形维数Df一般在1．60～1．70；而随着α值的减小，团簇形貌随参数βC有一明显的演化过程，在模拟范围内，分形维数Df在1．20～1．95．
Based on the diffusion-limited aggregation （DLA） model, the kinetic aggregation process of magnetic particles with power-law interactions was investigated by Monte Carlo simulation. The morphology and fractal dimension Df of the clusters as well as their evolutions with coupling parameter βC at different values of α were studied in detail. The simulation showed that, for α= 5, the patterns of the clusters almost do not vary with βC, and their fractal dimensions are in the range between 1.60 and 1.70; However, for the small value of α, the morphology of the clusters and its evolution exhibit rich behaviors, and the fractal dimension Df changes continuously from about 1.20 to 1.95.
出处
《浙江大学学报（理学版）》
CAS
CSCD
北大核心
2008年第4期404-408,共5页
Journal of Zhejiang University（Science Edition）
基金
国家自然科学基金资助项目(10574109)
关键词
扩散限制凝聚模型
幂次相互作用
分形维数
diffusion-limited aggregation
power-law interactions
fractal dimension
