Diffusion limited first contact of the ends of a polymer: Comparison of theory with simulation

被引:138
作者
Pastor, RW [1 ]
Zwanzig, R [1 ]
Szabo, A [1 ]
机构
[1] NIDDKD,CHEM PHYS LAB,NIH,BETHESDA,MD 20892
关键词
D O I
10.1063/1.472208
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
The mean first passage time for the close approach of the ends of a polymer is investigated by computer simulation of the Brownian dynamics of a Rouse model. There are N bonds, of length b, and the contact distance is a. The results for N=50, 75, and 100 are compared with theoretical predictions by Wilemski and Fixman (WF), and by Szabo, Schulten, and Schulten (SSS). Theory differs from simulation by a factor of 1.3 to 3 when a is comparable to b but improves considerably when a is reduced. Closest agreement is obtained at a/b = 0.1 for WF with a delta function sink, where theory is within the statistical error (approximate to 5%) of the simulation for each case.
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页码:3878 / 3882
页数:5
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