Statistical properties of the 2D attached rouse chain

Citation
O. Benichou et J. Desbois, Statistical properties of the 2D attached rouse chain, J STAT PHYS, 101(3-4), 2000, pp. 921-931
Citations number
21
Categorie Soggetti
Physics
Journal title
JOURNAL OF STATISTICAL PHYSICS
ISSN journal
00224715 → ACNP
Volume
101
Issue
3-4
Year of publication
2000
Pages
921 - 931
Database
ISI
SICI code
0022-4715(200011)101:3-4<921:SPOT2A>2.0.ZU;2-#
Abstract
We study various dynamical properties (winding angles, areas) of a set of h armonically bound Brownian particles (monomers), one endpoint of this chain being kept fixed at the origin 0. In particular, we show that. ibr long ti mes t, the areas {A(i)} enclosed by the monomers scale like t(1/2), with co rrelated gaussian distributions. This has to be compared to the winding ang les {theta (i)} around fixed points that scale like t and are distributed a ccording to independent Cauchy laws.