Monte Carlo calculation of effective diffusivities in two- and three-dimensional heterogeneous materials of variable structure

Mark R. Riley, Fernando J. Muzzio, Helen M. Buettner, Sebastian C. Reyes

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

A Monte Carlo technique that simulates tracer diffusion in multiphase materials of arbitrary complexity has been developed. Effective diffusivities are calculated for structures consisting of either overlapping or nonoverlapping inclusions with diffusivity Dc distributed in a continuous phase with diffusivity D0>Dc. Two-dimensional simulations for various values of D0/Dc generate normalized diffusivities that correspond closely to their three-dimensional counterparts; they nearly collapse to a common curve when a simple scaling relation is applied.

Original languageEnglish (US)
Pages (from-to)3500-3503
Number of pages4
JournalPhysical Review E
Volume49
Issue number4
DOIs
StatePublished - Jan 1 1994

Fingerprint

Heterogeneous Materials
Variable Structure
Diffusivity
diffusivity
Three-dimensional
Scaling Relations
Monte Carlo Techniques
tracers
Overlapping
Inclusion
inclusions
scaling
Curve
Arbitrary
curves
Simulation
simulation

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Physics and Astronomy(all)

Cite this

Monte Carlo calculation of effective diffusivities in two- and three-dimensional heterogeneous materials of variable structure. / Riley, Mark R.; Muzzio, Fernando J.; Buettner, Helen M.; Reyes, Sebastian C.

In: Physical Review E, Vol. 49, No. 4, 01.01.1994, p. 3500-3503.

Research output: Contribution to journalArticle

Riley, Mark R. ; Muzzio, Fernando J. ; Buettner, Helen M. ; Reyes, Sebastian C. / Monte Carlo calculation of effective diffusivities in two- and three-dimensional heterogeneous materials of variable structure. In: Physical Review E. 1994 ; Vol. 49, No. 4. pp. 3500-3503.
@article{132db8ce566c480ea42b1719531c9c95,
title = "Monte Carlo calculation of effective diffusivities in two- and three-dimensional heterogeneous materials of variable structure",
abstract = "A Monte Carlo technique that simulates tracer diffusion in multiphase materials of arbitrary complexity has been developed. Effective diffusivities are calculated for structures consisting of either overlapping or nonoverlapping inclusions with diffusivity Dc distributed in a continuous phase with diffusivity D0>Dc. Two-dimensional simulations for various values of D0/Dc generate normalized diffusivities that correspond closely to their three-dimensional counterparts; they nearly collapse to a common curve when a simple scaling relation is applied.",
author = "Riley, {Mark R.} and Muzzio, {Fernando J.} and Buettner, {Helen M.} and Reyes, {Sebastian C.}",
year = "1994",
month = "1",
day = "1",
doi = "10.1103/PhysRevE.49.3500",
language = "English (US)",
volume = "49",
pages = "3500--3503",
journal = "Physical review. E",
issn = "1539-3755",
publisher = "American Physical Society",
number = "4",

}

TY - JOUR

T1 - Monte Carlo calculation of effective diffusivities in two- and three-dimensional heterogeneous materials of variable structure

AU - Riley, Mark R.

AU - Muzzio, Fernando J.

AU - Buettner, Helen M.

AU - Reyes, Sebastian C.

PY - 1994/1/1

Y1 - 1994/1/1

N2 - A Monte Carlo technique that simulates tracer diffusion in multiphase materials of arbitrary complexity has been developed. Effective diffusivities are calculated for structures consisting of either overlapping or nonoverlapping inclusions with diffusivity Dc distributed in a continuous phase with diffusivity D0>Dc. Two-dimensional simulations for various values of D0/Dc generate normalized diffusivities that correspond closely to their three-dimensional counterparts; they nearly collapse to a common curve when a simple scaling relation is applied.

AB - A Monte Carlo technique that simulates tracer diffusion in multiphase materials of arbitrary complexity has been developed. Effective diffusivities are calculated for structures consisting of either overlapping or nonoverlapping inclusions with diffusivity Dc distributed in a continuous phase with diffusivity D0>Dc. Two-dimensional simulations for various values of D0/Dc generate normalized diffusivities that correspond closely to their three-dimensional counterparts; they nearly collapse to a common curve when a simple scaling relation is applied.

UR - http://www.scopus.com/inward/record.url?scp=4243718597&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4243718597&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.49.3500

DO - 10.1103/PhysRevE.49.3500

M3 - Article

AN - SCOPUS:4243718597

VL - 49

SP - 3500

EP - 3503

JO - Physical review. E

JF - Physical review. E

SN - 1539-3755

IS - 4

ER -