Diffusion across semi-permeable barriers: spectral properties, efficient computation, and applications
Computational Physics
2019-02-25 v2 Statistical Mechanics
Abstract
We present an efficient method to compute the eigenvalues and eigenmodes of the diffusion operator on one-dimensional heterogeneous structures with multiple semi-permeable barriers. This method allows us to calculate the diffusion propagator and related quantities such as diffusion MRI signal or first exit time distribution analytically for regular geometries and numerically for arbitrary ones. The effect of the barriers and the transition from infinite permeability (no barriers) to zero permeability (impermeable barriers) are investigated.
Keywords
Cite
@article{arxiv.1807.06336,
title = {Diffusion across semi-permeable barriers: spectral properties, efficient computation, and applications},
author = {Nicolas Moutal and Denis Grebenkov},
journal= {arXiv preprint arXiv:1807.06336},
year = {2019}
}