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

页码：6655 / 6667

页数：13

共 21 条

[1]

BENICHOU O, 2000, IN PRESS J STAT PHYS

[2]

BENICHOU O, 2000, UNPUB

[3] THE RANDOM-WALK WINDING NUMBER PROBLEM - CONVERGENCE TO A DIFFUSION PROCESS WITH EXCLUDED AREA [J].

BERGER, MA .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (17) :5949-5960

[4] A TOPOLOGICAL PROBLEM IN POLYMER PHYSICS - CONFIGURATIONAL AND MECHANICAL-PROPERTIES OF A RANDOM-WALK ENCLOSING A CONSTANT AREA [J].

BRERETON, MG ;

BUTLER, C .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (12) :3955-3968

[5] ASYMPTOTIC WINDING ANGLE DISTRIBUTIONS FOR PLANAR BROWNIAN-MOTION WITH DRIFT [J].

COMTET, A ;

DESBOIS, J ;

MONTHUS, C .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (21) :5637-5643

[6]

de Gennes P.G., 1979, SCALING CONCEPTS POL

[7] PERTURBATIVE ANYON GAS [J].

DEVEIGY, AD ;

OUVRY, S .

NUCLEAR PHYSICS B, 1992, 388 (03) :715-755

[8]

Doi M., 1986, The Theory of Polymer Dynamics

[9]

FEYNMAN RP, 1965, QUANTUM MECH PATH IN

[10]

GROSBERG AY, 1994, STAT PHSYICS MACROMO

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