稠密稀疏N体问题解析函数近似计算

Proximately Compute N-body Problem by Analytic Function in Dense Domain and Sparse Domain

考虑粒子相互作用的N体问题解析函数近似计算,建立了粒子稠密和稀疏区域的数学模型,用多重积分表示粒子相互作用径向分布函数的解析表达式,得到了稀疏区域到稠密球域的分析解,计算了蛋白质的径向函数.在球外粒子数M=100,球内粒子数为N=2000的工况下,计算误差小于千分之二,计算时间远小于直接计算时间.

In this paper, proximately compute interacted N-body problem by analytic func- tion, discuss a particle dense and sparse domain mathematical model.. Analytic expression of radial distribution function of particles interacting is denoted by multiple integral, the analysis solution is obtained on the dense and sparse domain. The protein radial function is calculated by using our theory. In the case of M = 100, and N = 2000, the error of analytic solution is less than 0.002, and numeric CPU time is much less than direct computation.