Dynamics of a three-dimensional inextensible chain

Details Dynamics of a three-dimensional inextensible chain Dynamics of a three-dimensional inextensible chain

2009-01-12

arxiv.org/abs/0901.1536v2

Acta Phys. Pol. B 40 5, 1369 (2009)

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

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 $z-$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.

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