Statistics of polymer chains embedded on a diamond lattice. II. Results for arbitrarytransandgaucheweightings

摘要

A polymer of finite length is embedded on a diamond lattice where the angle between adjacent monomers is cosminus;1(minus;1/3) = 109deg;. We set up a transfer matrix formulation and show how the characteristic functionCn(k) can be expressed in terms of the eigenvalues and eigenvectors of the transfer matrix. Results are presented for chains of various lengths and for differenttransandgaucheweightings. The results are particularly interesting and simple in thestiffchainlimit, where the chains are shown to obey a scaling relation.