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 …

Single-file transport in pore-like structures constitutes an important topic for both theory and
experiment. For hardcore interacting particles, a good understanding of the collective …

A universal feature of single-file transport in micropores is the anomalous diffusion of a
tracer particle. Here, we report on a new inherent property of the tracer dynamics in periodic …

In many practically important problems which rely on particles' transport in realistic
corrugated channels, one is interested in knowing the probability that either of the …

We study the motion of an overdamped particle connected to a thermal heat bath in the
presence of an external periodic potential in one dimension. When we coarse-grain, ie, bin …

In this chapter, we describe several approximations in the theory of Laplacian transport near
complex or heterogeneously reactive boundaries. This phenomenon, governed by the …

Particle transport in both natural and fabricated systems often takes place in confined
geometries under single-file conditions. This means, that particles cannot pass each other …

Transport of solutes through channels with rough boundaries is abundant in natural and
engineered settings. However, it is not known currently what the consequences of an …

We study diffusion of a Brownian particle in a two-dimensional periodic channel of abruptly
alternating width. Our main result is a simple approximate analytical expression for the …

We revisit the classic problem of the effective diffusion constant of a Brownian particle in a
square lattice of reflecting impenetrable hard disks. This diffusion constant is also related to …