Random walk is a fundamental concept with applications ranging from quantum physics to
econometrics. Remarkably, one specific model of random walks appears to be ubiquitous …

Reactive transport (RT) couples bio-geo-chemical reactions and transport. RT is important to
understand numerous scientific questions and solve some engineering problems. RT is …

Modern microscopic techniques following the stochastic motion of labelled tracer particles
have uncovered significant deviations from the laws of Brownian motion in a variety of …

Advances in detection of genetic material from species in aquatic ecosystems, including
environmental DNA (eDNA), have improved species monitoring and management. eDNA …

While environmental DNA (eDNA) is now being regularly used to detect rare and elusive
species, detection in lotic environments comes with a caveat: The species being detected is …

There is growing interest in using advanced imaging techniques to describe the complex
pore-space of natural rocks at resolutions that allow for quantitative assessment of the flow …

Blood microcirculation supplies neurons with oxygen and nutrients, and contributes to
clearing their neurotoxic waste, through a dense capillary network connected to larger tree …

We propose a new experimental set up to characterize mixing and reactive transport in
porous media with a high spatial resolution at the pore scale. The analogous porous …

We use confocal microscopy to directly visualize the spatial fluctuations in fluid flow through
a three-dimensional porous medium. We find that the velocity magnitudes and the velocity …

In this article we demonstrate the very inspiring role of the continuous-time random walk
(CTRW) formalism, the numerous modifications permitted by its flexibility, its various …