English

Dynamics of a three-dimensional inextensible chain

Statistical Mechanics 2009-05-22 v2

Abstract

In the first part of this work the classical and statistical aspects of the dynamics of an inextensible chain in three dimensions are investigated. In the second part the special case of a chain admitting only fixed angles with respect to the zz-axis is studied using a path integral approach. It is shown that it is possible to reduce this problem to a two-dimensional case, in a way which is similar to the reduction of the statistical mechanics of a directed polymer to the random walk of a two-dimensional particle.

Keywords

Cite

@article{arxiv.0901.1536,
  title  = {Dynamics of a three-dimensional inextensible chain},
  author = {Franco Ferrari and Jaroslaw Paturej and Thomas A. Vilgis},
  journal= {arXiv preprint arXiv:0901.1536},
  year   = {2009}
}

Comments

15 pages, 3 figures, LaTeX, version accepted for publication

R2 v1 2026-06-21T11:59:43.710Z