We study the diffusion of particles confined close to a single wall and in double-wall planar
channel geometries where the local diffusivities depend on the distance to the boundaries …

Understanding and controlling transport through complex media is central for a plethora of
processes ranging from technical to biological applications. Yet, the effect of micro-scale …

The dispersive spreading of microscopic particles in shear flows is influenced both by
advection and thermal motion. At the nanoscale, interactions between such particles and …

Small intestine motility and its ensuing flow of luminal content impact both nutrient
absorption and bacterial growth. To explore this interdependence we introduce a …

Despite its physiological and pathological importance, the mechanical relationship between
glucose uptake in the intestine and intestinal flows is unclear. In the intestine of the …

In multispecies electrolyte solutions, even in the absence of an external electric field,
differences in ion diffusivities induce an electric potential and generate additional fluxes for …

Advection-diffusion coupling can enhance particle and solute dispersion by orders of
magnitude as compared to pure diffusion, with a steady state being reached for confined …

We study the effect of a fourth-order derivative term in the diffusion of Brownian particles
confined to a narrow 2D channel whose longitudinal coordinate is larger than the …

Particles transported in fluid flows, such as cells, polymers, or nanorods, are rarely spherical.
In this study, we numerically and theoretically investigate the dispersion of an initially …

We study the long-time behavior of an advection-diffusion equation with a general time-
varying (including random) shear flow imposing no-flux boundary conditions on channel …