Abstract
The effective diffusivity of a heterogeneous medium is calculated numerically as a function of the inclusion fraction using the lattice-Boltzmann approach. Effective diffusivities are calculated for structures consisting of either permeable or nonpermeable inclusions distributed in a continuous phase. Two-dimensional simulations show good agreement with results obtained by means of Monte Carlo simulations of tracer diffusion. Numerical results are shown that are in agreement with the predictions of Maxwell's equation, for small inclusion fractions. \textcopyright{} 1996 The American Physical Society.
Keywords
Thermal diffusivityLattice Boltzmann methodsBoltzmann equationMonte Carlo methodStatistical physicsLattice (music)DiffusionDiffusion equationPhysicsDistribution functionMaterials scienceThermodynamicsMathematicsStatistics
Affiliated Institutions
Related Publications
Fixed-node Monte Carlo study of the two-dimensional Hubbard model
The fixed-node Monte Carlo method is extended to lattice fermion models. This method replaces the problem of finding the ground state of a many-fermion system by an effective ei...
Application of the Monte Carlo Method to the Lattice-Gas Model. I. Two-Dimensional Triangular Lattice
The Monte Carlo numerical method for obtaining statistical mechanical averages in the petite canonical ensemble has been applied to the two-dimensional triangular lattice-gas mo...
Attractive Interaction and Pairing in Fermion Systems with Strong On-Site Repulsion
It is shown that an effective attractive interaction between nearest-neighbor antiparallel spins a-rises in the Hubbard and Anderson lattice models in the limit of large on-site...
Physical symmetry and lattice symmetry in the lattice Boltzmann method
The lattice Boltzmann method (LBM) is regarded as a specific finite difference discretization for the kinetic equation of the discrete velocity distribution function. We argue t...
<i>Ab initio</i>study of the ferroelectric transition in cubic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">GeTe</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>
In the substitutionally disordered narrow-gap semiconductor Pb1−xGexTe, a finite-temperature cubic-rhombohedral transition appears above a critical concentration x ≈ 0.005. As a...
Publication Info
- Year
- 1996
- Type
- article
- Volume
- 53
- Issue
- 3
- Pages
- 2298-2303
- Citations
- 29
- Access
- Closed
External Links
Social Impact
Altmetric
PlumX Metrics
Social media, news, blog, policy document mentions
Citation Metrics
29
OpenAlex
Cite This
José Álvarez‐Ramírez,
Salvador Nieves-Mendoza,
Jesús González-Trejo
(1996).
Calculation of the effective diffusivity of heterogeneous media using the lattice-Boltzmann method.
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
, 53
(3)
, 2298-2303.
https://doi.org/10.1103/physreve.53.2298
Identifiers
- DOI
- 10.1103/physreve.53.2298