Diffusivity in periodic arrays of spherical cavities
Alexander M. Berezhkovskii, Vladimir Yu. Zitserman, Stanislav Y. Shvartsman · The Journal of Chemical Physics · 2003
We derive an expression for the effective diffusivity in a model porous medium formed by a periodic array of touching spherical cavities. Our result explicitly links the effective diffusion constant to the microgeometry of the porous material.