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Windings of the 2D free Rouse chain

Olivier Benichou·Jean Desbois
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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.

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Olivier Benichou, Jean Desbois. 2000-05-09. Windings of the 2D free Rouse chain. https://doi.org/10.1088/0305-4470%2F33%2F38%2F301

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