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

W. K. Schroll, A. B. Walker, Michael Thorpe

Research output: Contribution to journalArticle

13 Citations (Scopus)

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
StatePublished - 1981
Externally publishedYes

Fingerprint

Diamond
Polymers
diamonds
Statistics
statistics
polymers
Eigenvalues and eigenfunctions
Monomers
characteristic equations
eigenvectors
eigenvalues
monomers
formulations
scaling

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Statistics of polymer chains embedded on a diamond lattice. II. Results for arbitrary trans and gauche weightings. / Schroll, W. K.; Walker, A. B.; Thorpe, Michael.

In: The Journal of Chemical Physics, Vol. 76, No. 12, 1981, p. 6384-6392.

Research output: Contribution to journalArticle

Schroll, W. K. ; Walker, A. B. ; Thorpe, Michael. / Statistics of polymer chains embedded on a diamond lattice. II. Results for arbitrary trans and gauche weightings. In: The Journal of Chemical Physics. 1981 ; Vol. 76, No. 12. pp. 6384-6392.
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