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Statistical properties of the 2D attached Rouse chain

Olivier Benichou·Jean Desbois
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Abstract

We study various dynamical properties (winding angles, areas) of a set of harmonically bound Brownian particles (monomers), one endpoint of this chain being kept fixed at the origin 0. In particular, we show that, for long times t, the areas {A_i} enclosed by the monomers scale like t^{1/2}, with correlated gaussian distributions. This is at variance with the winding angles {θ_i} around fixed points that scale like t and are distributed according to independent Cauchy laws.

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Olivier Benichou, Jean Desbois. 2000-05-09. Statistical properties of the 2D attached Rouse chain. https://arxiv.org/abs/cond-mat/0005156

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