Size of a polymer molecule in solution. Part 1.—Excluded volume problem

摘要: A study is made of the probability distribution end to distance R a polymer N segments, length Nl=L, and self repulsion ω. simple method, capable adoption in more complicated problems, developed, using idea an effective step length.The mean square value R2 developed as series which for large L R2=ω2/5L6/5l2/5(1.12 + 1.05 1.03 +…).The terms dimensionless parameter x=R2/l2/5ω2/5L6/5, small x, logp(x)–x([graphic omitted]+[graphic omitted]+…) but x definite asymptotic form derived log p(x)=–(⅗)π1/2/3 x[graphic omitted].