Statistics of polymer chains embedded on a diamond lattice. II. Results for arbitrary trans and gauche weightings

W. K. Schroll, A. B. Walker, M. F. Thorpe

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

A polymer of finite length is embedded on a diamond lattice where the angle between adjacent monomers is cos-1(-1/3)=109°. We set up a transfer matrix formulation and show how the characteristic function C n(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 different trans and gauche weightings. The results are particularly interesting and simple in the stiff chain limit, where the chains are shown to obey a scaling relation.

Original languageEnglish (US)
Pages (from-to)6384-6392
Number of pages9
JournalThe Journal of chemical physics
Volume76
Issue number12
DOIs
StatePublished - Jan 1 1981

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry

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