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 …

We introduce a heterogeneous continuous-time random walk (HCTRW) model as a versatile
analytical formalism for studying and modeling diffusion processes in heterogeneous …

We study the transport properties of diffusing particles restricted to confined regions on
curved surfaces. We relate particle mobility to the curvature of the surface where they diffuse …

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 …

In a great number of technologically and biologically relevant cases, transport of micro-or
nanosized objects is governed by both omnipresent thermal fluctuations and confining walls …

This work analyzes the effect of wall geometry when a reaction–diffusion system is confined
to a narrow channel. In particular, we study the entropy production density in the reversible …

Plasmodesmata are slender nanochannels that link neighboring plant cells and enable the
exchange of nutrients and signaling molecules. Recent experiments have demonstrated …

In this chapter we extend the generalization of the Kalinay-Percus projection method for
asymmetric channels. We project the anisotropic two-dimensional diffusion equation on a …

In this contribution we provide a formal differential geometrical description of diffusion of
Brownian particles in confined two-dimensional systems. We present a method to map the …

In this contribution we provide a formal differential geometrical description of diffusion of
Brownian particles in confined two-dimensional systems. We present a method to map the …