Corrections to scaling in 2--dimensional polymer statistics

Details Corrections to scaling in 2--dimensional polymer statistics Corrections to scaling in 2--dimensional polymer statistics

1995-10-30

arxiv.org/abs/cond-mat/9510162v1

Physics

Condensed Matter

10 pages of RevTex, 5 Postscript figures. Accepted for publication in Phys. Rev. B. Brief Reports. Also submitted to J. Phys.

Scientific paper

10.1103/PhysRevB.53.2175

Writing $ = AN^{2\nu}(1+BN^{-\Delta_1}+CN^{-1}+ ...)$ for the mean square end--to--end length $$ of a self--avoiding polymer chain of $N$ links, we have calculated $\Delta_1$ for the two--dimensional {\em continuum} case from a new {\em finite} perturbation method based on the ground state of Edwards self consistent solution which predicts the (exact) $\nu=3/4$ exponent. This calculation yields $\Delta_1=1/2$. A finite size scaling analysis of data generated for the continuum using a biased sampling Monte Carlo algorithm supports this value, as does a re--analysis of exact data for two--dimensional lattices.

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