The transport of particles through channels is of paramount importance in physics,
chemistry, and surface science due to its broad real world applications. Much insight can be …

We study some geometric aspects that influence the transport properties of particles that
diffuse on curved surfaces. We compare different approaches to surface diffusion based on …

Axial diffusion in a two-dimensional channel of smoothly varying geometry can be
approximately described as one-dimensional diffusion in the entropy potential with position …

In the last decade, the Fick–Jacobs approximation has been exploited to capture transport
across constrictions. Here, we review the derivation of the Fick–Jacobs equation with …

We focus on the derivation of a general position-dependent effective diffusion coefficient to
describe two-dimensional (2D) diffusion in a narrow and smoothly asymmetric channel of …

This paper deals with diffusion of point particles in linearly corrugated two-dimensional
channels. Such geometry allows one to obtain an approximate analytical expression that …

We present a study exploring the range of applicability of a generalized Fick–Jacobs
equation in the case when diffusive mass transport of a fluid along a pore includes chemical …

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 crossing time statistic of diffusing point particles between the two ends of
expanding and narrowing two-dimensional conical channels under a transverse external …

A theoretical framework based on using the Frenet-Serret moving frame as the coordinate
system to study the diffusion of bounded Brownian point-like particles has been recently …