In the absence of advection, confined diffusion characterizes transport in many natural and
artificial devices, such as ionic channels, zeolites, and nanopores. While extensive …

Nonlinear relaxation phenomena in three different systems of condensed matter are
investigated.(i) First, the phase dynamics in Josephson junctions is analyzed. Specifically, a …

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 paper develops a robust and computationally efficient homogenization approach,
grounded on exact local and integral moments, to investigate the temporal evolution of …

We study the mean first exit time (Tε) of a particle diffusing in a circular or a spherical micro-
domain with an impenetrable confining boundary containing a small escape window (EW) of …

Channels are fundamental building blocks from biophysics to soft robotics, often used to
transport or separate solutes. As solute particles inevitably transverse between streamlines …

The paradigmatic model for heterogeneous media used in diffusion studies is built from
reflecting obstacles and surfaces. It is well known that the crowding effect produced by these …

We show that when particles are suspended in an electrolyte confined between corrugated
charged surfaces, electrokinetic flows lead to a new set of phenomena such as particle …

The problem of blockage dynamics in the microchannel for small values of the initial solute
concentration is investigated numerically using the random walk method. One of the most …

This paper develops a homogenization approach, based on the introduction of exact local
and integral moments, to investigate the temporal evolution of effective dispersion properties …