Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2000-05-09
Physics
Condensed Matter
Statistical Mechanics
Latex, 10 pages, submitted to J. Stat. Phys
Scientific paper
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 {\theta_i} around fixed points that scale like t and are distributed according to independent Cauchy laws.
Benichou Olivier
Desbois Jean
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