论文标题
聚类扩散的粒子方法，用于从可电磁极化颗粒的大集合散射
Clustering Diffused-Particle Method for Scattering from Large Ensembles of Electromagnetically Polarizable Particles
论文作者
论文摘要
折叠式式方程是针对由带电和磁反应的颗粒组成的介质的。结果用于计算散布在颗粒集合中的场。通过层次聚类技术降低了计算复杂性，以启用与10^10个粒子阶的模拟。有了这么多粒子，我们就能看到对田地的批量介质行为的过渡。对于非磁性材料，有效的大量培养基的可观察指数，介电常数和渗透率与Clausius-Mossotti的关系非常吻合。对具有电响应和磁反应的颗粒模拟的场与广义有效培养基理论的新分析结果非常吻合。
The Foldy-Lax equation is generalized for a medium which consists of particles with both electric and magnetic responses. The result is used to compute fields scattered from ensembles of particles. The computational complexity is reduced by hierarchical clustering techniques to enable simulations with on the order of 10^10 particles. With so many particles we are able to see the transition to bulk media behavior of the fields. For non-magnetic materials, the observable index, permittivity, and permeability of the effective bulk medium are in good agreement with the Clausius-Mossotti relation. The fields simulated for particles with both electric and magnetic responses are in good agreement with new analytical results for a generalized effective medium theory.
