N体问题复合区域解析函数近似计算

Numeric Model of N-Body Problem on Domains

摘要: 研究粒子模拟的计算问题，推导出单连通区域和复连通区域的粒子相互作用径向分布函数的解析解，得到了双球域的分析解，对计算复杂性进行了研究，结果表明，当粒子数M = 1800时，计算误差小于千分之一，分析解的计算时间非常少。对蛋白质的距离函数计算结果表明，分析解能显著减少计算量。

Abstract: In this paper, proximately compute interacted N-body problem by analytic function, Analytic expression of radial distribution function of particles interacting is denoted by multiple integral, the analysis solution is obtained on double sphere domains. In the case of M = 1800, the error of analytic solution is less than 0.001, and numeric CPU time is much less than direct computation. The two polypeptide chains protein radial function is obtained, and points out that this method needs to be improved.