Makhnovskii, YA, Berezhkovskii, AM, Bogachev, LV et al. (1 more author) (2011) Driven diffusion in a periodically compartmentalized tube: homogeneity versus intermittency of particle motion. Journal of Physical Chemistry B, 115 (14). 3992 - 4002 (11). ISSN 1520-6106
Abstract
We study the effect of a driving force F on drift and diffusion of a point Brownian particle in a tube formed by identical ylindrical compartments, which create periodic entropy barriers for the particle motion along the tube axis. The particle transport exhibits striking features: the effective mobility monotonically decreases with increasing F, and the effective diffusivity diverges as F → ∞, which indicates that the entropic effects in diffusive transport are enhanced by the driving force. Our consideration is based on two different scenarios of the particle motion at small and large F, homogeneous and intermittent, respectively. The scenarios are deduced from the careful analysis of statistics of the particle transition times between neighboring openings. From this qualitative picture, the limiting small-F and large-F behaviors of the effective mobility and diffusivity are derived analytically. Brownian dynamics simulations are used to find these quantities at intermediate values of the driving force for various compartment lengths and opening radii. This work shows that the driving force may lead to qualitatively different anomalous transport features, depending on the geometry design.
Metadata
Item Type: | Article |
---|---|
Authors/Creators: |
|
Copyright, Publisher and Additional Information: | (c) 2011, American Chemical Society. This is an author produced version of a paper published in the Journal of Physical Chemistry B. Uploaded with permission from the publisher. |
Dates: |
|
Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Statistics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 05 Mar 2013 11:07 |
Last Modified: | 24 Oct 2016 16:12 |
Published Version: | http://pubs.acs.org/doi/abs/10.1021/jp112393q |
Status: | Published |
Publisher: | American Chemical Society |
Identification Number: | 10.1021/jp112393q |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:74925 |