NEAREST-NEIGHBOR DISTRIBUTION-FUNCTIONS IN MANY-BODY SYSTEMS
NEAREST-NEIGHBOR DISTRIBUTION-FUNCTIONS IN MANY-BODY SYSTEMS
复制标题
DOI：
10.1103/physreva.41.2059
复制
发表时间：
1990-02-15
影响因子：
2.9
通讯作者：
RUBINSTEIN, J
中科院分区：
文献类型：
--
作者：
TORQUATO, S;LU, B;RUBINSTEIN, J
在相互作用粒子的多体系统中，在离参考点一定距离处找到最近邻粒子的概率在物理学和生物科学中的许多问题中都很重要。我们开发了一种形式主义，以获得两种不同类型的最近邻概率密度函数（空隙和粒子概率密度）和密切相关的数量，如其相关的累积分布和条件对分布，多体系统的D维球体。对于特殊情况下的不可穿透的（硬）球，我们计算这些量的低密度膨胀，并获得它们的解析表达式是准确的广泛的领域的浓度。利用这些结果，我们能够计算平均最近邻距离的分布的D维不可穿透的球。我们的理论结果被发现是在良好的协议与计算机模拟数据。
The probability of finding a nearest neighbor at some given distance from a reference point in a many-body system of interacting particles is of importance in a host of problems in the physical as well as biological sciences. We develop a formalism to obtain two different types of nearest-neighbor probability density functions (void and particle probability densities) and closely related quantities, such as their associated cumulative distributions and conditional pair distributions, for many-body systems of D-dimensional spheres. For the special case of impenetrable (hard) spheres, we compute low-density expansions of each of these quantities and obtain analytical expressions for them that are accurate for a wide range of sphere concentrations. Using these results, we are able to calculate the mean nearest-neighbor distance for distributions of D-dimensional impenetrable spheres. Our theoretical results are found to be in excellent agreement with computer-simulation data.