NON-FICKIAN STEADY FLUX IN A ONE-DIMENSIONAL SINAI-TYPE DISORDERED SYSTEM

被引：29

作者：

BURLATSKY, SF

OSHANIN, GS

MOGUTOV, AV

MOREAU, M

机构：

[1] ACAD SCI USSR, INST CHEM PHYS, MOSCOW V334, USSR

[2] UNIV PARIS 06, PHYS THEOR LIQUIDES LAB, F-75252 PARIS 05, FRANCE

来源：

PHYSICAL REVIEW A | 1992年 / 45卷 / 10期

关键词：

D O I：

10.1103/PhysRevA.45.R6955

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We study both numerically and analytically the steady-state flux of particles in a finite one-dimensional Sinai-type disordered system (with no global bias). We show that the steady flux is proportional to N-1/2, where N is chain length, i.e., it has a much slower dependence on N than the Fickian flux.

引用

收藏

页码：R6955 / R6957

页数：3

相关论文

共 20 条

[1] VELOCITY AND DIFFUSION-COEFFICIENT OF A RANDOM ASYMMETRIC ONE-DIMENSIONAL HOPPING MODEL [J].

ASLANGUL, C ;

POTTIER, N ;

SAINTJAMES, D .

JOURNAL DE PHYSIQUE, 1989, 50 (08) :899-921

[2] RANDOM-WALK IN A ONE-DIMENSIONAL RANDOM MEDIUM [J].

ASLANGUL, C ;

POTTIER, N ;

SAINTJAMES, D .

PHYSICA A, 1990, 164 (01) :52-80

[3] EXACT RESULTS AND SELF-AVERAGING PROPERTIES FOR RANDOM RANDOM-WALKS ON A ONE-DIMENSIONAL INFINITE LATTICE [J].

ASLANGUL, C ;

BOUCHAUD, JP ;

GEORGES, A ;

POTTIER, N ;

STJAMES, D .

JOURNAL OF STATISTICAL PHYSICS, 1989, 55 (1-2) :461-468

[4] ANOMALOUS DIFFUSION IN RANDOM-MEDIA OF ANY DIMENSIONALITY [J].

BOUCHAUD, JP ;

COMTET, A ;

GEORGES, A ;

LEDOUSSAL, P .

JOURNAL DE PHYSIQUE, 1987, 48 (09) :1445-1450

[5] CLASSICAL DIFFUSION OF A PARTICLE IN A ONE-DIMENSIONAL RANDOM FORCE-FIELD [J].

BOUCHAUD, JP ;

COMTET, A ;

GEORGES, A ;

LEDOUSSAL, P .

ANNALS OF PHYSICS, 1990, 201 (02) :285-341

[6] ANOMALOUS DIFFUSION IN DISORDERED MEDIA - STATISTICAL MECHANISMS, MODELS AND PHYSICAL APPLICATIONS [J].

BOUCHAUD, JP ;

GEORGES, A .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1990, 195 (4-5) :127-293

[7] CLASSICAL DIFFUSION ON A RANDOM CHAIN [J].

DERRIDA, B ;

POMEAU, Y .

PHYSICAL REVIEW LETTERS, 1982, 48 (09) :627-630

[8]

GOLOSOV O, 1983, SOV MATH DOKL, V28, P19

[9] TRANSPORT IN RANDOM CORRELATED FIELDS [J].

HAVLIN, S .

JOURNAL OF STATISTICAL PHYSICS, 1990, 58 (3-4) :653-668

[10]

KESTEN H, 1975, COMPOS MATH, V30, P145