CURRENT FLOW UNDER ANOMALOUS-DIFFUSION CONDITIONS - LEVY WALKS

被引：13

作者：

ZUMOFEN, G

BLUMEN, A

KLAFTER, J

机构：

[1] UNIV BAYREUTH, BAYREUTHER INST MAKROMEKULFORSCH, W-8580 BAYREUTH, GERMANY

[2] UNIV BAYREUTH, INST PHYS, W-8580 BAYREUTH, GERMANY

[3] TEL AVIV UNIV, SCH CHEM, IL-69978 TEL AVIV, ISRAEL

来源：

PHYSICAL REVIEW A | 1990年 / 41卷 / 08期

关键词：

D O I：

10.1103/PhysRevA.41.4558

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We investigate the current flow under anomalous-diffusion conditions (disordered media and also turbulent motion) in the limit of strong-bias fields. A unified picture for anomalous behavior is provided by Lévy walks. These are continuous-time random walks with coupled spatial and temporal memories. We find that the long-time asymptotic behavior of the current adheres to the following power laws: dispersive transport decreasing and enhanced diffusion increasing with time. In both cases the characteristic exponents depend (in a complex way) on the memory terms. We corroborate the values of the exponents by Monte Carlo simulations. © 1990 The American Physical Society.

引用

收藏

页码：4558 / 4561

页数：4

相关论文

共 14 条

[1] TRANSPORT ASPECTS IN ANOMALOUS DIFFUSION - LEVY WALKS [J].

BLUMEN, A ;

ZUMOFEN, G ;

KLAFTER, J .

PHYSICAL REVIEW A, 1989, 40 (07) :3964-3974

[2] ANOMALOUS DIFFUSION IN A LINEAR-ARRAY OF VORTICES [J].

CARDOSO, O ;

TABELING, P .

EUROPHYSICS LETTERS, 1988, 7 (03) :225-230

[3] STOCHASTIC PATHWAY TO ANOMALOUS DIFFUSION [J].

KLAFTER, J ;

BLUMEN, A ;

SHLESINGER, MF .

PHYSICAL REVIEW A, 1987, 35 (07) :3081-3085

[4] RANDOM WALKS ON LATTICES .2. [J].

MONTROLL, EW ;

WEISS, GH .

JOURNAL OF MATHEMATICAL PHYSICS, 1965, 6 (02) :167-+

[5] TRANSIENT PHOTOCONDUCTIVITY AND PHOTOINDUCED OPTICAL-ABSORPTION IN AMORPHOUS-SEMICONDUCTORS [J].

ORENSTEIN, J ;

KASTNER, MA ;

VANINOV, V .

PHILOSOPHICAL MAGAZINE B-PHYSICS OF CONDENSED MATTER STATISTICAL MECHANICS ELECTRONIC OPTICAL AND MAGNETIC PROPERTIES, 1982, 46 (01) :23-62

[6] Atmospheric diffusion shown on a distance-neighbour graph [J].

Richardson, LF .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-CONTAINING PAPERS OF A MATHEMATICAL AND PHYSICAL CHARACTER, 1926, 110 (756) :709-737

[7] ANOMALOUS TRANSIT-TIME DISPERSION IN AMORPHOUS SOLIDS [J].

SCHER, H ;

MONTROLL, EW .

PHYSICAL REVIEW B, 1975, 12 (06) :2455-2477

[8] TRANSIENT TRANSPORT IN A QUASI-ONE-DIMENSIONAL HOPPING MODEL WITH A POWER-LAW DISTRIBUTION OF TRANSITION RATES [J].

SCHNORER, H ;

BLUMEN, A .

PHYSICAL REVIEW B, 1989, 39 (06) :3912-3914

[9] CROSSOVER FROM DISPERSIVE TO NONDISPERSIVE TRANSPORT IN A TRAP-CONTROLLED HOPPING MODEL [J].

SCHNORER, H ;

HAARER, D ;

BLUMEN, A .

PHYSICAL REVIEW B, 1988, 38 (12) :8097-8101

[10] ASYMPTOTIC SOLUTIONS OF CONTINUOUS-TIME RANDOM-WALKS [J].

SHLESING.MF .

JOURNAL OF STATISTICAL PHYSICS, 1974, 10 (05) :421-434