### 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 |

State | Published - 1981 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

*The Journal of Chemical Physics*,

*76*(12), 6384-6392.

**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.

Research output: Contribution to journal › Article

*The Journal of Chemical Physics*, vol. 76, no. 12, pp. 6384-6392.

}

TY - JOUR

T1 - Statistics of polymer chains embedded on a diamond lattice. II. Results for arbitrary trans and gauche weightings

AU - Schroll, W. K.

AU - Walker, A. B.

AU - Thorpe, Michael

PY - 1981

Y1 - 1981

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=36749106975&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=36749106975&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:36749106975

VL - 76

SP - 6384

EP - 6392

JO - Journal of Chemical Physics

JF - Journal of Chemical Physics

SN - 0021-9606

IS - 12

ER -