The method is an alternative to microscopic
particle tracking mimicked by Monte Carlo simulations
and is equivalent to determining effective diffusion coefficients
from Fick’s law: the steady-state diffusive flux is
measured as a function of the concentration difference maintained
between the opposite sides of a large rectangular box.
Mathematically, homogenization is an asymptotic analysis
that utilizes a small parameter, the ratio of micro- and
macro-length scales, to obtain accurate effective characteristics
of the medium (35).