Modified Maxwell-Garnett equation for the effective transport coefficients in inhomogeneous media

Juris Robert Kalnin; Eugene Kotomin

doi:10.1088/0305-4470/31/35/004

Modified Maxwell-Garnett equation for the effective transport coefficients in inhomogeneous media

Juris Robert Kalnin^*
, Eugene Kotomin

^*Corresponding author for this work

Laboratory of Kinetics in Self-Organizing Systems, Institute of Solid State Physics

University of Latvia

Research output: Contribution to journal › Article › peer-review

31 Citations (Scopus)

Abstract

The well known Maxwell-Garnett equation for the effective diffusion coefficient in two-phase media (a matrix with spherical inclusions) is modified in order to describe a wide range of experimental situations. This novel approach correctly treats the partial trapping of a diffusing particle by an inclusion as well as the consequences of an energy barrier for the particle penetration into an inclusion.

Original language	English
Pages (from-to)	7227-7234
Number of pages	8
Journal	Journal of Physics A: Mathematical and General
Volume	31
Issue number	35
DOIs	https://doi.org/10.1088/0305-4470/31/35/004
Publication status	Published - 4 Sept 1998

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10.1088/0305-4470/31/35/004

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title = "Modified Maxwell-Garnett equation for the effective transport coefficients in inhomogeneous media",

abstract = "The well known Maxwell-Garnett equation for the effective diffusion coefficient in two-phase media (a matrix with spherical inclusions) is modified in order to describe a wide range of experimental situations. This novel approach correctly treats the partial trapping of a diffusing particle by an inclusion as well as the consequences of an energy barrier for the particle penetration into an inclusion.",

author = "Kalnin, \{Juris Robert\} and Eugene Kotomin",

year = "1998",

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T1 - Modified Maxwell-Garnett equation for the effective transport coefficients in inhomogeneous media

AU - Kalnin, Juris Robert

AU - Kotomin, Eugene

PY - 1998/9/4

Y1 - 1998/9/4

N2 - The well known Maxwell-Garnett equation for the effective diffusion coefficient in two-phase media (a matrix with spherical inclusions) is modified in order to describe a wide range of experimental situations. This novel approach correctly treats the partial trapping of a diffusing particle by an inclusion as well as the consequences of an energy barrier for the particle penetration into an inclusion.

AB - The well known Maxwell-Garnett equation for the effective diffusion coefficient in two-phase media (a matrix with spherical inclusions) is modified in order to describe a wide range of experimental situations. This novel approach correctly treats the partial trapping of a diffusing particle by an inclusion as well as the consequences of an energy barrier for the particle penetration into an inclusion.

UR - https://www.scopus.com/pages/publications/0032483287

U2 - 10.1088/0305-4470/31/35/004

DO - 10.1088/0305-4470/31/35/004

M3 - Article

AN - SCOPUS:0032483287

SN - 0305-4470

VL - 31

SP - 7227

EP - 7234

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 35

ER -

Modified Maxwell-Garnett equation for the effective transport coefficients in inhomogeneous media

Abstract

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