High Efficiency Algorithm for The Dipolar Interaction Energy of 2D Magnetic Nanoparticle Systems
Most of simulations often require the calculation of all pairwise interaction in large ensembles of particles, such as N-body problem of gravitation, electrostatic interaction and magnetic dipolar interaction, etc. The main difficulty in the calculation of long-range interaction is how to accelerate the slow convergence of the occurring sums. In this work, we are interested in the dipolar interaction in the two dimensional (2D) magnetic dipolar nanoparticle systems, which have attracted much attention due to both their important technological applications such as high-density patterned recording media and their rich and often unusual experimental behaviours. We develop a high efficiency algorithm based on the Lekner method to evaluate the magnetic dipolar energy for such systems, where the simulation cell is periodically replicated in the plane. Taking advantage of the symmetry of the systems, the dipolar interaction energy is expressed by rapidly converging series of modified Bessel functions in our algorithm. We found that our algorithm is better than the traditional Ewald summation method in efficiency for the regular arrays. Moreover, two simple formulas are obtained to evaluate the self-energy, which is important in the simulation of the dipolar systems.
Dipolar interaction Lekner method nanoparticle system
Ke Tanga Hongjie Yang Linhong Cao Hongtao Yu Jinsong Liu Junxia Wang
State Key Laboratory Cultivation Base for Nonmetal Composite and Functional Materials,Southwest Univ State Key Laboratory Cultivation Base for Nonmetal Composite and Functional Materials, Southwest Uni
国际会议
11th IUMRS International Conference in Asia(第十一届国际材联亚洲材料大会 IUMRS-ICA 2010)
青岛
英文
108-113
2010-09-25（万方平台首次上网日期，不代表论文的发表时间）