中文摘要：

在扩散限制凝聚模型基础上引入粒子的自旋自由度（包括自旋向上和向下）,将自旋耦合系数扩展为随粒子间距离幂次变化的非常数项J/rα,采用Monte Carlo方法研究了在二维三角点阵基底上不同幂指数α以及耦合强度系数J值磁性粒子的分形生长规律,给出了此类磁性分形团簇的自旋分布、磁化强度等随模型参数的演化规律。

英文摘要：

The initial growth stage of the 2-dimmsion magnetic cluster on the triangular surface-lattice was modeled and simulated in Monte Carlo method,on the basis of the diffusion limited aggression（DLA） model.The original work is the addition of a spin freedom（up or down） to each particle involved in a power-law coupling interaction.In the simulation,the kinetic aggregation of the magnetic particles on 2-dimension lattice with different exponents,α,and different coupling parameters,J,were evaluated.In addition,the spin distributions and magnetizations of the magnetic fractal clusters,as well as their evolution with the parameters were calculated.Possible improvement of the simulation was tentatively discussed in a thought-provoking way.