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Hydrodynamic and entropic effects on colloidal diffusion in corrugated channels.


ABSTRACT: In the absence of advection, confined diffusion characterizes transport in many natural and artificial devices, such as ionic channels, zeolites, and nanopores. While extensive theoretical and numerical studies on this subject have produced many important predictions, experimental verifications of the predictions are rare. Here, we experimentally measure colloidal diffusion times in microchannels with periodically varying width and contrast results with predictions from the Fick-Jacobs theory and Brownian dynamics simulation. While the theory and simulation correctly predict the entropic effect of the varying channel width, they fail to account for hydrodynamic effects, which include both an overall decrease and a spatial variation of diffusivity in channels. Neglecting such hydrodynamic effects, the theory and simulation underestimate the mean and standard deviation of first passage times by 40% in channels with a neck width twice the particle diameter. We further show that the validity of the Fick-Jacobs theory can be restored by reformulating it in terms of the experimentally measured diffusivity. Our work thus shows that hydrodynamic effects play a key role in diffusive transport through narrow channels and should be included in theoretical and numerical models.

SUBMITTER: Yang X 

PROVIDER: S-EPMC5594686 | biostudies-literature | 2017 Sep

REPOSITORIES: biostudies-literature

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Hydrodynamic and entropic effects on colloidal diffusion in corrugated channels.

Yang Xiang X   Liu Chang C   Li Yunyun Y   Marchesoni Fabio F   Hänggi Peter P   Zhang H P HP  

Proceedings of the National Academy of Sciences of the United States of America 20170822 36


In the absence of advection, confined diffusion characterizes transport in many natural and artificial devices, such as ionic channels, zeolites, and nanopores. While extensive theoretical and numerical studies on this subject have produced many important predictions, experimental verifications of the predictions are rare. Here, we experimentally measure colloidal diffusion times in microchannels with periodically varying width and contrast results with predictions from the Fick-Jacobs theory an  ...[more]

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