Windings of the 2D free Rouse chain

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 θ_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({θ_j}) and discuss the correlations occuring in those distributions.

Latex, 17 pages, submitted to J. Phys. A

Cited by in corpus (3)

• On the joint residence time of N independent two-dimensional Brownian motions
• Dynamical Windings of Random Walks and Exclusion Models. Part I: Thermodynamic Limit
• Winding of planar gaussian processes