ANOMALOUS DIFFUSION IN A RANDOM VELOCITY-FIELD

被引：12

作者：

GAVEAU, B ^{[1
]}

SCHULMAN, LS ^{[1
]}

机构：

[1] CLARKSON UNIV,DEPT PHYS,POTSDAM,NY 13699

来源：

JOURNAL OF STATISTICAL PHYSICS | 1992年 / 66卷 / 1-2期

关键词：

DIFFUSION IN RANDOM FIELD; SUPERDIFFUSIVE BEHAVIOR;

D O I：

10.1007/BF01060072

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We construct diffusions in random velocity fields which present anomalous superdiffusive behavior. The mean square displacement can be made to have any power law t-alpha for 1 less-than-or-equal-to alpha < 2. Higher moments and characteristic functions are also investigated.

引用

页码：375 / 383

页数：9

共 13 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] ANOMALOUS DIFFUSION IN STEADY FLUID-FLOW THROUGH A POROUS-MEDIUM [J].

ARONOVITZ, JA ;

NELSON, DR .

PHYSICAL REVIEW A, 1984, 30 (04) :1948-1954

[3] 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

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

BOUCHAUD, JP ;

GEORGES, A ;

KOPLIK, J ;

PROVATA, A ;

REDNER, S .

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

[5]

FISCHER D, 1985, PHYS REV A, V31, P3841

[6] SHAPE OF A SELF-AVOIDING WALK OR POLYMER CHAIN [J].

FISHER, ME .

JOURNAL OF CHEMICAL PHYSICS, 1966, 44 (02) :616-&

[7] AN ANOMALOUS DIFFUSION IN A LONG-RANGE DISORDERED LATTICE [J].

GAVEAU, B ;

MERITET, A .

LETTERS IN MATHEMATICAL PHYSICS, 1988, 15 (04) :351-355

[8] LIMIT-THEOREM RELATED TO A NEW CLASS OF SELF SIMILAR PROCESSES [J].

KESTEN, H ;

SPITZER, F .

ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1979, 50 (01) :5-25

[9] SMALL-SCALE STRUCTURE OF A SCALAR FIELD CONVECTED BY TURBULENCE [J].

KRAICHNAN, RH .

PHYSICS OF FLUIDS, 1968, 11 (05) :945-+

[10] RANDOM-WALKS IN MEDIA WITH CONSTRAINED DISORDER [J].

KRAVTSOV, VE ;

LERNER, IV ;

YUDSON, VI .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1985, 18 (12) :L703-L707

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