Windings of the 2D free Rouse chain
Olivier Benichou, Jean Desbois
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 Tj, areas Aj and winding angles θj (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(Tj), P(Aj), P(θj) and discuss the correlations occuring in those distributions.
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