Deriving time-dependent diffusion and relaxation rate in porous systems using eigenfunctions of the Laplace operator
Artikel i vetenskaplig tidskrift, 2009
Porous systems are investigated using eigendecomposition of the Laplace matrix. Three parameters; tor-
tuosity, surface-to-pore volume ratio and relaxation rate are derived from the eigenvalue spectrum of the
Laplace matrix and connected to the parameters in the Padé approximation, an expression often used to
describe the time-dependent diffusion coefficient in porous systems. The Padé length is identified for sys-
tems with large pore to connector volume ratio. The results are compared with simulations.