DISPERSION OF PARTICLES IN PERIODIC MEDIA

被引：13

作者：

CLAES, I ^{[1
]}

VANDENBROECK, C ^{[1
]}

机构：

[1] LUC,B-3590 DIEPENBEEK,BELGIUM

来源：

JOURNAL OF STATISTICAL PHYSICS | 1993年 / 70卷 / 5-6期

关键词：

RANDOM WALKS; PERIODIC SYSTEMS; TRANSPORT COEFFICIENTS;

D O I：

10.1007/BF01049429

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We discuss the long-time properties of the dispersion of particles in periodic media, using the random walk formalism. Exact asymptotic results are obtained for the average velocity and the diffusion coefficient, expressed in terms of the Green's function of the random walk inside the periodically repeated unit cell. We explicitly calculate the transport coefficients for several specific cases of interest, including a system with ''dead zones,'' a simple model for field-induced trapping, and a one-dimensional map leading to deterministic diffusion.

引用

页码：1215 / 1231

页数：17

共 26 条

[1] THE LONGITUDINAL DIFFUSION COEFFICIENT IN FLOW THROUGH A TUBE WITH STAGNANT POCKETS [J].

ARIS, R .

CHEMICAL ENGINEERING SCIENCE, 1959, 11 (03) :194-198

[2] ON THE DISPERSION OF A SOLUTE IN A FLUID FLOWING THROUGH A TUBE [J].

ARIS, R .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1956, 235 (1200) :67-77

[3]

Aris R., 1975, MATH THEORY DIFFUSIO

[4]

BALAKRISHNAN V, 1985, P SOLID STATE PHYS C, V28, P77

[5] DISPERSION RESULTING FROM FLOW THROUGH SPATIALLY PERIODIC POROUS-MEDIA .2. SURFACE AND INTRAPARTICLE TRANSPORT [J].

BRENNER, H ;

ADLER, PM .

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1982, 307 (1498) :149-200

[6] DISPERSION RESULTING FROM FLOW THROUGH SPATIALLY PERIODIC POROUS-MEDIA [J].

BRENNER, H .

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1980, 297 (1430) :81-133

[7] TRANSPORT-PROPERTIES, LYAPUNOV EXPONENTS, AND ENTROPY PER UNIT TIME [J].

GASPARD, P ;

NICOLIS, G .

PHYSICAL REVIEW LETTERS, 1990, 65 (14) :1693-1696

[8]

GEFEN Y, 1985, J PHYS A-MATH GEN, V18, P1037

[9]

GEISEL T, 1981, PHYS REV LETT, V48, P7

[10] CALCULATION OF DISPERSION COEFFICIENTS BY MEANS OF MOMENTS [J].

HORN, FJM .

AICHE JOURNAL, 1971, 17 (03) :613-&

← 1 2 3 →