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

doi:10.1063/1.442994

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

Arizona State University

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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 language	English (US)
Pages (from-to)	6384-6392
Number of pages	9
Journal	The Journal of chemical physics
Volume	76
Issue number	12
DOIs	https://doi.org/10.1063/1.442994
State	Published - Jan 1 1981

ASJC Scopus subject areas

Physics and Astronomy(all)
Physical and Theoretical Chemistry

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10.1063/1.442994

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AB - 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.

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

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