Adsorption and desorption in confined geometries: A discrete hopping model

Abstract

Abstract. We study the adsorption and desorption kinetics of interacting particles moving on a one-dimensional lattice. Confinement is introduced by limiting the number of particles on a lattice site. Adsorption and desorption are found to proceed at different rates, and are strongly influenced by the concentration-dependent transport diffusion. Analytical solutions for the transport and self-diffusion are given for systems of length 1 and 2 and for a zero-range process. In the last situation the self-and transport diffusion can be calculated analytically for any length.

Current fluctuations in boundary driven diffusive systems in different dimensions: a numerical study

“…(20) is also exact for the one-dimensional ZRP [43]. Since the particle distribution in the NSS factorizes in any dimension for the ZRP [50], the calculation from [43] can be straightforwardly extended to higher dimensions to show that ρ D ( )is independent of the dimension. To our knowledge, these are the only two cases where the uncorrelated result is exact for GEPs.…”

“…We have studied ρ D ( )in this model both numerically and analytically [41][42][43]. From these studies one can conclude that ρ D ( )is, in general, influenced by correlations (see also [48]).…”

“…Recently, we have studied the diffusive behavior of a lattice model of interacting particles [41][42][43]. The original motivation was the study of diffusion in nanoporous materials [44].…”

“…The rates at which a reservoir cavity at chemical potential μ adds ( + k n ) or removes ( − k n ) one particle from a cavity containing n particles are This model is a GEP [35] with a stochastic thermodynamical interpretation for the equilibrium statistics and dynamics. When defined like this it is an adequate model for the understanding of the equilibrium and diffusive behavior of particles in nanoporous materials [41][42][43]. For = n 1 max the model reduces to the SSEP.…”

Brownian motion in confined geometries

“…The first article reports on fluctuation-induced bidirectional motion in the tug of war model, the second one studies the properties of stochastic self-propelled particles in a narrow channel. Becker et al [37] investigate adsorption and desorption kinetics of interacting particles moving on a one-dimensional lattice where the confinement is created by the limitation on the number of particles allowed to occupy a lattice site.…”