二维磁性团簇形貌及其分形维数的数值研究  

Numerical study on the morphology and fractal dimension of two-dimensional magnetic clusters

作　　者：王凤飞[1] 许晓军[2] 金进生[2] 

机构地区：[1]浙江教育学院物理系,浙江杭州310023 [2]浙江大学物理系,浙江杭州310027

出　　处：《浙江大学学报（理学版）》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)

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.

关 键 词：扩散限制凝聚模型 幂次相互作用 分形维数 

分 类 号：O484.1[理学—固体物理]