Pore-Size Dependence of Quasi-One-Dimensional Single-File Diffusion Mobility†

2007 ◽  
Vol 111 (43) ◽  
pp. 15995-15997 ◽  
Author(s):  
K. K. Mon ◽  
J. K. Percus
Keyword(s):  
Pore Size ◽  
Size Dependence ◽  
Diffusion Mobility ◽  
One Dimensional ◽  
Single File ◽  
Single File Diffusion

Exploring Single-File Diffusion in One-Dimensional Nanochannels by Laser-Polarized129Xe NMR Spectroscopy

2000 ◽  
Vol 104 (50) ◽  
pp. 11665-11670 ◽  
Author(s):  
Thomas Meersmann ◽  
John W. Logan ◽  
Roberto Simonutti ◽  
Stefano Caldarelli ◽  
Angiolina Comotti ◽  
...  
Keyword(s):  
Nmr Spectroscopy ◽  
One Dimensional ◽  
Single File ◽  
Single File Diffusion

scholarly journals Insights from Single-File Diffusion into Cooperativity in Higher Dimensions

2016 ◽  
Vol 11 (01) ◽  
pp. 9-38 ◽  
Author(s):  
Takeshi Ooshida ◽  
Susumu Goto ◽  
Takeshi Matsumoto ◽  
Michio Otsuki
Keyword(s):  
Large Scale ◽  
Mean Square Displacement ◽  
Colloidal Suspensions ◽  
Higher Dimensions ◽  
Colloidal Systems ◽  
One Dimensional ◽  
Single File ◽  
The Mean ◽  
The One ◽  
Single File Diffusion

Diffusion in colloidal suspensions can be very slow due to the cage effect, which confines each particle within a short radius on one hand, and involves large-scale cooperative motions on the other. In search of insight into this cooperativity, here the authors develop a formalism to calculate the displacement correlation in colloidal systems, mainly in the two-dimensional (2D) case. To clarify the idea for it, studies are reviewed on cooperativity among the particles in the one-dimensional (1D) case, i.e. the single-file diffusion (SFD). As an improvement over the celebrated formula by Alexander and Pincus on the mean-square displacement (MSD) in SFD, it is shown that the displacement correlation in SFD can be calculated from Lagrangian correlation of the particle interval in the one-dimensional case, and also that the formula can be extended to higher dimensions. The improved formula becomes exact for large systems. By combining the formula with a nonlinear theory for correlation, a correction to the asymptotic law for the MSD in SFD is obtained. In the 2D case, the linear theory gives description of vortical cooperative motion.

scholarly journals Single-File Diffusion of Colloids in One-Dimensional Channels

2004 ◽  
Vol 93 (2) ◽  
Author(s):  
Christoph Lutz ◽  
Markus Kollmann ◽  
Clemens Bechinger
Keyword(s):  
One Dimensional ◽  
Single File ◽  
Single File Diffusion

Toward Observation of Single-File Diffusion Using the Tracer Zero-Length Column Method

2008 ◽  
Vol 112 (12) ◽  
pp. 3821-3825 ◽  
Author(s):  
Abduljelil Iliyas ◽  
Mladen Eić ◽  
M. Hassan Zahedi-Niaki ◽  
Sergey Vasenkov
Keyword(s):  
Single File ◽  
Column Method ◽  
Single File Diffusion
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