Windings of the 2D free Rouse chain

被引：6
作者：
Bénichou, O
Desbois, J
机构：
[1] Univ Paris Sud, Lab Phys Theor & Modeles Stat, F-91405 Orsay, France
[2] UPMC, Phys Theor Liquides Lab, F-75252 Paris 05, France
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2000年 / 33卷 / 38期
关键词：
D O I：
10.1088/0305-4470/33/38/301
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study the 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 occurring in those distributions.
引用
收藏
页码：6655 / 6667
页数：13
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