基于幂次相互作用的二维磁性团簇耦合能研究

Study on the coupling energy of two-dimensional magnetic clusters with power-law interaction

在扩散限制凝聚模型基础上,采用Monte Carlo方法模拟了磁耦合作用随粒子间距离幂次变化的磁性粒子动力学凝聚过程.重点研究了在不同幂指数α值下团簇在生长过程中,即随着粒子数N的增加,团簇平均耦合能Ec(N)的演化过程.模拟结果表明:对于α≥5时,Ec(N)随着粒子数N的增加变化较小;当α=2时,Ec(N)随着N的增加先缓慢减小并最终趋于稳定值;而随着α的继续减小,Ec(N)逐渐演变至线性变化行为.此外,还研究了在不同幂指数α值下团簇耦合能E随耦合系数的演化规律.

Based on the diffusion-limited aggregation model, the kinetic aggregation process of magnetic particle with power-law coupling interaction is investigated by Monte Carlo method in this paper. The evolution of the average coupling energy Ec of clusters with particle number N for different values of exponent α during the growth process is studied in detail. The simulation shows that, for α≥5, Ec（N） almost does not vary with N; for α = 2, Ec（N） decreases slowly and then approaches a steady value as N further increases. For smaller values of α, however, Ec（N） varies linearly with N. The influence of the coupling parameter on the average coupling energy Ec for different values of a is also studied.