The effective diffusion coefficient in a one-dimensional discrete lattice with the inclusions

被引：3

作者：

Kalnin, J. R. ^{[1
]}

Kotomin, E. A. ^{[2
]}

机构：

[1] Ventspils Engn Res Ctr, Int Radio Astron Ctr V1RAC, LV-3601 Ventspils, Latvia

[2] Univ Latvia, Inst Solid State Phys, LV-1063 Riga, Latvia

来源：

PHYSICA B-CONDENSED MATTER | 2015年 / 470卷

基金：

俄罗斯科学基金会;

关键词：

Heterogeneous media; Transport; Effective diffusion coefficient; Random walks;

D O I：

10.1016/j.physb.2015.04.021

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

The expression for the effective diffusion coefficient in one-dimensional discrete lattice model of random walks in matrix with inclusions and unequal hopping lengths is derived. This allowed us to suggest a physical interpretation to the concentration jump - ad hoc parameter commonly used in extended effective medium theory for accounting particle partial reflection on the boundary matrix-inclusion. The analytical results obtained are in excellent agreement with computer simulations. (C) 2015 Elsevier B.V. All rights reserved

引用

页码：50 / 52

页数：3

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