Deriving time-dependent diffusion and relaxation rate in porous systems using eigenfunctions of the Laplace operator
Journal article, 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.
Author
Matias Nordin
Chalmers, Chemical and Biological Engineering, Applied Surface Chemistry
SuMo Biomaterials
Martin Nilsson Jacobi
Chalmers, Energy and Environment, Physical Resource Theory
Magnus Nydén
Chalmers, Chemical and Biological Engineering, Applied Surface Chemistry
SuMo Biomaterials
Journal of Magnetic Resonance
1090-7807 (ISSN)
Vol. 201 2 205-211Roots
Basic sciences
Subject Categories (SSIF 2011)
Condensed Matter Physics
DOI
10.1016/j.jmr.2009.09.010