Anomalous diffusion in a self-similar random advection field

被引：20

作者：

Dykhne, AM ^{[1
]}

Dranikov, IL ^{[1
]}

Kondratenko, PS ^{[1
]}

Matveev, LV ^{[1
]}

机构：

[1] Russian Acad Sci, Nucl Safety Inst, Moscow 115191, Russia

来源：

PHYSICAL REVIEW E | 2005年 / 72卷 / 06期

关键词：

D O I：

10.1103/PhysRevE.72.061104

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

The problem on passive scalar advection in random (statistically homogeneous) self-similar media is solved. Even in superdiffusive mode the solution is found not to possess "heavy" power tails. Instead, they are exponential (not Gaussian). The derivation is conducted by means of the scaling analysis.

引用

页数：5

共 19 条

[1] Levy diffusion as an effect of sporadic randomness [J].

Bologna, M ;

Grigolini, P ;

Riccardi, J .

PHYSICAL REVIEW E, 1999, 60 (06) :6435-6442

[2] 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

[3] Retarding subdiffusion and accelerating superdiffusion governed by distributed-order fractional diffusion equations [J].

Chechkin, AV ;

Gorenflo, R ;

Sokolov, IM .

PHYSICAL REVIEW E, 2002, 66 (04) :7-046129

[4] Comment on "Towards deterministic equations for Levy walks: The fractional material derivative" [J].

Chukbar, KV ;

Zaburdaev, VY .

PHYSICAL REVIEW E, 2003, 68 (03) :2-331012

[5] Stochastic foundations of fractional dynamics [J].

Compte, A .

PHYSICAL REVIEW E, 1996, 53 (04) :4191-4193

[6] Anomalous transport regimes in a stochastic advection-diffusion model [J].

Dranikov, IL ;

Kondratenko, PS ;

Matveev, LV .

JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS, 2004, 98 (05) :945-952

[7]

Dranikov IL, 2004, LASER PHYS, V14, P429

[8] PERCOLATION, STATISTICAL TOPOGRAPHY, AND TRANSPORT IN RANDOM-MEDIA [J].

ISICHENKO, MB .

REVIEWS OF MODERN PHYSICS, 1992, 64 (04) :961-1043

[9] ANOMALOUS DIFFUSION IN HETEROGENEOUS POROUS-MEDIA [J].

KOCH, DL ;

BRADY, JF .

PHYSICS OF FLUIDS, 1988, 31 (05) :965-973

[10] ANOMALOUS DIFFUSION DUE TO LONG-RANGE VELOCITY FLUCTUATIONS IN THE ABSENCE OF A MEAN FLOW [J].

KOCH, DL ;

BRADY, JF .

PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1989, 1 (01) :47-51

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