The winding angle distribution of an ordinary random walk
The winding angle distribution of an ordinary random walk
复制标题
普通随机游走的缠绕角度分布
DOI：
--
复制
发表时间：
1987
期刊：
影响因子：
--
通讯作者：
Y. Hu
中科院分区：
文献类型：
--
作者：
J. Rudnick;Y. Hu
缠绕在随机游动的一个选定点上的缠绕角量化了纠缠的最简单表现，这在聚合物的研究中是一个非常重要的现象。本文研究了普通行走和非自避行走的绕角分布。新的结果突出了排除一个有限的区域上的缠绕角分布的选定点的关键影响。将分析结果与格点上随机游动的模拟结果进行了比较，两者吻合得很好。然而，有一些小的、至今无法解释的差异。
The winding angle about a selected point of a random walk quantifies what is perhaps the simplest manifestation of entanglement a phenomenon of great importance in the study of polymers. The distribution of winding angles is studied here for ordinary or non-self-avoiding walks. New results highlight the crucial influence of the exclusion of a finite region about the selected point on the winding angle distribution. The results of this analysis are compared with simulations of random walks on a lattice, the agreement between the two is very good. There are, however, small and as yet unexplained discrepancies.