Windings of the 2D free Rouse chain
Statistical Mechanics
2009-10-31 v1
Abstract
We study long time dynamical properties of a chain of harmonically bound Brownian particles. This chain is allowed to wander everywhere in the plane. We show that the scaling variables for the occupation times T_j, areas A_j and winding angles \theta_j (j=1,...,n labels the particles) take the same general form as in the usual Brownian motion. We also compute the asymptotic joint laws P({T_j}), P({A_j}), P({\theta_j}) and discuss the correlations occuring in those distributions.
Cite
@article{arxiv.cond-mat/0005155,
title = {Windings of the 2D free Rouse chain},
author = {Olivier Benichou and Jean Desbois},
journal= {arXiv preprint arXiv:cond-mat/0005155},
year = {2009}
}
Comments
Latex, 17 pages, submitted to J. Phys. A