Windings of the 2D free Rouse chain

Details Windings of the 2D free Rouse chain Windings of the 2D free Rouse chain

2000-05-09

arxiv.org/abs/cond-mat/0005155v1

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1088/0305-4470/33/38/301

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.

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