Pore opening effects and transport diffusion in the Knudsen regime in comparison to self- (or tracer-) diffusion

Type: Article

Publication Date: 2007-03-22

Citations: 14

DOI: https://doi.org/10.1209/0295-5075/78/20001

Abstract

We study molecular diffusion in linear nanopores with different types of roughness in the so-called Knudsen regime. Knudsen diffusion represents the limiting case of molecular diffusion in pores, where mutual encounters of the molecules within the free pore space may be neglected and the time of flight between subsequent collisions with the pore walls significantly exceeds the interaction time between the pore wall and the molecules. We present an extension of a commonly used procedure to calculate transport diffusion coefficients. Our results show that using this extension, the coefficients of self- and transport diffusion in the Knudsen regime are equal for all regarded systems, which improves previous literature data.

Locations

  • EPL (Europhysics Letters) - View
  • arXiv (Cornell University) - View - PDF

Similar Works

Action Title Year Authors
+ Pore opening effects and transport diffusion in the Knudsen regime in comparison to self- (or tracer-) diffusion 2007 Stephan Zschiegner
Stefanie Russ
Armin Bunde
Jörg Kärger
+ PDF Chat Tracer diffusion of hard-sphere binary mixtures under nano-confinement 2015 Umberto Marini Bettolo Marconi
Paolo Malgaretti
Ignacio Pagonabarraga
+ Tracer diffusion of hard-sphere binary mixtures under nano-confinement 2015 Umberto Marini Bettolo Marconi
Paolo Malgaretti
Ignacio Pagonabarraga
+ Tracer diffusion of hard-sphere binary mixtures under nano-confinement 2015 Umberto Marini Bettolo Marconi
Paolo Malgaretti
Ignacio Pagonabarraga
+ PDF Chat Diffusion of finite-size particles in two-dimensional channels with random wall configurations 2014 Maximilian Bauer
Aljaž Godec
Ralf Metzler
+ Markov and Non-Markov Transport Processes within Bulk-Mediated Surface Diffusion Schemes 2019 Horacio S. Wio
Jorge A. Revelli
+ PDF Chat A Fractal-Based Correlation for Time-Dependent Surface Diffusivity in Porous Adsorbents 2020 Vassilis J. Inglezakis
Marco Balsamo
Fabio Montagnaro
+ Experimental confirmation of Graham's law of diffusion up to pore diameters of 2 μm 1985 G Knaff
E.‐U. Schlünder
+ Knudsen Diffusion Through Cylindrical Tubes of Varying Radii: Theory and Monte Carlo Simulations 2012 Yong Shi
Yong Taek Lee
Albert S. Kim
+ PDF Chat Entropically induced asymmetric passage times of charged tracers across corrugated channels 2016 Paolo Malgaretti
Ignacio Pagonabarraga
J. Miguel Rubi
+ Solving the inverse Knudsen problem: Gas diffusion in random fibrous media 2020 Wojciech Szmyt
Carlos Guerra‐Nuñez
Clemens Dransfeld
Ivo Utke
+ Lévy Distribution of Collisions for Knudsen Diffusion in Fractal Pores 1997 S. B. Santra
B. Sapoval
Olivier Haeberlé
+ PDF Chat New insights into the classical molecular transport theory 2021 Xiaofeng Yang
Luyao Shang
Jian Sui
+ New insights into the classical molecular transport theory 2021 Xiaofeng Yang
Luyao Shang
Jian Sui
+ PDF Chat Single-particle diffusion coefficient on surfaces with Ehrlich–Schwoebel barriers 1998 K. Mussawisade
Thomas Wichmann
K. W. Kehr
+ Single-file diffusion through inhomogeneous nanopores 2008 Tusar Bandyopadhyay
+ PDF Chat Hydrodynamic and entropic effects on colloidal diffusion in corrugated channels 2017 Yang Xiang
Chang Liu
Yunyun Li
Fabio Marchesoni
Peter Hänggi
Hepeng Zhang
+ Colloidal Brownian motion in corrugated channels: When hydrodynamic interactions hamper entropic diffusion 2017 Yang Xiang
Chang Liu
Yunyun Li
Fabio Marchesoni
Peter Hänggi
H. P. Zhang
+ Semi-empirical formula for the change of diffusion coefficients caused by empty channels 1966 R. Persson
+ PDF Chat Diffusion of interacting particles in discrete geometries: Equilibrium and dynamical properties 2014 Thijs Becker
K. Nelissen
Bart Cleuren
B. Partoens
J. van den Brand