THE NUMBER OF CONTACTS IN A SELF-AVOIDING WALK OF VARIABLE RADIUS OF GYRATION IN 2 AND 3 DIMENSIONS

被引:15
作者
VICTOR, JM [1 ]
IMBERT, JB [1 ]
LHUILLIER, D [1 ]
机构
[1] UNIV PARIS 06,CNRS,MODELISAT MECAN LAB,F-75252 PARIS 05,FRANCE
关键词
D O I
10.1063/1.467151
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
A simple scaling law is proposed for the dependence of the number of contacts on the radius of gyration of a self-avoiding walk (SAW). We test our proposal on SAWs generated by a Monte Carlo simulation on square and cubic lattices. The distribution of the number of contacts is then combined with the distribution of configurations previously derived to deduce the free energy of a polymer chain for low values of the interaction parameter chi. As compared to the free energy of Flory, the new expression takes a much better account of the spatial correlations between distant monomers of the chain.
引用
收藏
页码:5372 / 5377
页数:6
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