Fractional dynamics in random velocity fields

被引：45

作者：

Compte, A

Caceres, MO

机构：

[1] Univ Autonoma Barcelona, Dept Fis, E-08193 Bellaterra, Spain

[2] Univ Nacl Cuyo, CNEA, Ctr Atom Bariloche, RA-8400 Bariloche, Rio Negro, Argentina

[3] Univ Nacl Cuyo, CNEA, Inst Balseiro, RA-8400 Bariloche, Rio Negro, Argentina

来源：

PHYSICAL REVIEW LETTERS | 1998年 / 81卷 / 15期

关键词：

D O I：

10.1103/PhysRevLett.81.3140

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We develop an iterative approach, from which an exact systematic calculation of the moments of the probability density of test particles, under a generalized Fickian evolution and in the presence of a stratified random velocity field, can be calculated. The type of fractional diffusion-advection equation studied is useful for transport in anisotropic and heterogeneous media, Our method stresses the relevance of the coupling between anomalous diffusion and convection by stratified random velocity fields. [S0031-9007(98)07342-6].

引用

收藏

页码：3140 / 3143

页数：4

相关论文

共 39 条

[1] EXCITATION DYNAMICS IN RANDOM ONE-DIMENSIONAL SYSTEMS [J].

ALEXANDER, S ;

BERNASCONI, J ;

SCHNEIDER, WR ;

ORBACH, R .

REVIEWS OF MODERN PHYSICS, 1981, 53 (02) :175-198

[2]

[Anonymous], FLOW POROUS MEDIA

[3] SUPERDIFFUSION IN NEARLY STRATIFIED FLOWS [J].

AVELLANEDA, M ;

MAJDA, AJ .

JOURNAL OF STATISTICAL PHYSICS, 1992, 69 (3-4) :689-729

[4] SUPERBALLISTIC MOTION IN A RANDOM-WALK SHEAR-FLOW [J].

BENAVRAHAM, D ;

LEYVRAZ, F ;

REDNER, S .

PHYSICAL REVIEW A, 1992, 45 (04) :2315-2319

[5] Theory of anomalous chemical transport in random fracture networks [J].

Berkowitz, B ;

Scher, H .

PHYSICAL REVIEW E, 1998, 57 (05) :5858-5869

[6] CONDUCTION IN ANISOTROPIC DISORDERED SYSTEMS - EFFECTIVE-MEDIUM THEORY [J].

BERNASCONI, J .

PHYSICAL REVIEW B, 1974, 9 (10) :4575-4579

[7] SUPERDIFFUSION IN RANDOM VELOCITY-FIELDS [J].

BOUCHAUD, JP ;

GEORGES, A ;

KOPLIK, J ;

PROVATA, A ;

REDNER, S .

PHYSICAL REVIEW LETTERS, 1990, 64 (21) :2503-2506

[8] 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

[9] Theory of diffusion in finite random media with a dynamic boundary condition [J].

Caceres, MO ;

Matsuda, H ;

Odagaki, T ;

Prato, DP ;

Lamberti, W .

PHYSICAL REVIEW B, 1997, 56 (10) :5897-5908

[10] Biased continuous time random walks between parallel plates [J].

Compte, A ;

Metzler, R ;

Camacho, J .

PHYSICAL REVIEW E, 1997, 56 (02) :1445-1454

← 1 2 3 4 →