From random walks on networks to nonlinear diffusion

C Falcó - Physical Review E, 2022 - APS
Mathematical models of motility are often based on random-walk descriptions of discrete
individuals that can move according to certain rules. It is usually the case that large masses …

First passage times of transport on planar spatial networks and their connections to off-network planar diffusion

DB Wilson, CHL Beentjes - arXiv preprint arXiv:2108.09260, 2021 - arxiv.org
Consider a network embedded in the 2D plane, where a particle diffuses along the edges of
the network. It is clear that over short length scales a particle moves along a single edge and …