摘要
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.
出处
《数学的实践与认识》
CSCD
北大核心
2013年第9期149-156,共8页
Mathematics in Practice and Theory
基金
国家自然科学基金重点项目(51139005)
国家自然科学基金(61240048)
关键词
粒子模拟
N体问题
径向分布函数
多重积分
分析解
数值解
particle simulation
N-body problem
radial distribution function
multiple integral
analytic solution
numerical solution