Statistical properties of the 2D attached Rouse chain
Statistical Mechanics
2007-05-23 v1
Abstract
We study various dynamical properties (winding angles, areas) of a set of harmonically bound Brownian particles (monomers), one endpoint of this chain being kept fixed at the origin 0. In particular, we show that, for long times t, the areas {A_i} enclosed by the monomers scale like t^{1/2}, with correlated gaussian distributions. This is at variance with the winding angles {\theta_i} around fixed points that scale like t and are distributed according to independent Cauchy laws.
Cite
@article{arxiv.cond-mat/0005156,
title = {Statistical properties of the 2D attached Rouse chain},
author = {Olivier Benichou and Jean Desbois},
journal= {arXiv preprint arXiv:cond-mat/0005156},
year = {2007}
}
Comments
Latex, 10 pages, submitted to J. Stat. Phys