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Title: Entropic transport without external force in confined channel with oscillatory boundary

Abstract

The dynamics of point-like Brownian particles in a periodic confined channel with oscillating boundaries has been studied. Directional transport (DT) behavior, characterized by net displacement along the horizontal direction, is observed even without external force which is necessary for the conventional DT where the boundaries are static. For typical parameter values, the average velocity V{sub t} of DT reaches a maximum with the variation of the noise intensity D, being alike to the phenomenon of stochastic resonance. Interestingly, we find that V{sub t} shows nontrivial dependences on the particle gravity G depending on the noise level. When the noise is large, V{sub t} increases monotonically with G indicating that heavier particle moves faster, while for small noise, V{sub t} shows a bell-shape dependence on G, suggesting that a particle with an intermediate weight may move the fastest. Such results were not observed for DT in a channel with static boundaries. To understand these findings, we have adopted an effective one-dimensional coarsening description, which facilitates us to introduce an effective entropic force along the horizontal direction. The average force is apparently nonzero due to the oscillatory boundary, hence leading to the net transport, and it shows similar dependences as V{sub t}more » on the noise intensity D and particle gravity G. The dependences of the DT behavior on other parameters describing the oscillatory channel have also been investigated, showing that DT is more pronounced for larger oscillation amplitude and frequency, and asymmetric geometry within a channel period and phase difference between neighboring periods are both necessary for the occurrence of DT.« less

Authors:
; ;  [1]
  1. Department of Chemical Physics & Hefei National Laboratory for Physical Sciences at Microscales, University of Science and Technology of China, Hefei, Anhui 230026 (China)
Publication Date:
OSTI Identifier:
22493399
Resource Type:
Journal Article
Journal Name:
Journal of Chemical Physics
Additional Journal Information:
Journal Volume: 143; Journal Issue: 24; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0021-9606
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AMPLITUDES; ASYMMETRY; BROWNIAN MOVEMENT; GRAVITATION; NOISE; ONE-DIMENSIONAL CALCULATIONS; OSCILLATIONS; PARTICLES; PERIODICITY; RESONANCE; STOCHASTIC PROCESSES; VELOCITY

Citation Formats

Ding, Huai, Jiang, Huijun, and Hou, Zhonghuai. Entropic transport without external force in confined channel with oscillatory boundary. United States: N. p., 2015. Web. doi:10.1063/1.4939081.
Ding, Huai, Jiang, Huijun, & Hou, Zhonghuai. Entropic transport without external force in confined channel with oscillatory boundary. United States. https://doi.org/10.1063/1.4939081
Ding, Huai, Jiang, Huijun, and Hou, Zhonghuai. 2015. "Entropic transport without external force in confined channel with oscillatory boundary". United States. https://doi.org/10.1063/1.4939081.
@article{osti_22493399,
title = {Entropic transport without external force in confined channel with oscillatory boundary},
author = {Ding, Huai and Jiang, Huijun and Hou, Zhonghuai},
abstractNote = {The dynamics of point-like Brownian particles in a periodic confined channel with oscillating boundaries has been studied. Directional transport (DT) behavior, characterized by net displacement along the horizontal direction, is observed even without external force which is necessary for the conventional DT where the boundaries are static. For typical parameter values, the average velocity V{sub t} of DT reaches a maximum with the variation of the noise intensity D, being alike to the phenomenon of stochastic resonance. Interestingly, we find that V{sub t} shows nontrivial dependences on the particle gravity G depending on the noise level. When the noise is large, V{sub t} increases monotonically with G indicating that heavier particle moves faster, while for small noise, V{sub t} shows a bell-shape dependence on G, suggesting that a particle with an intermediate weight may move the fastest. Such results were not observed for DT in a channel with static boundaries. To understand these findings, we have adopted an effective one-dimensional coarsening description, which facilitates us to introduce an effective entropic force along the horizontal direction. The average force is apparently nonzero due to the oscillatory boundary, hence leading to the net transport, and it shows similar dependences as V{sub t} on the noise intensity D and particle gravity G. The dependences of the DT behavior on other parameters describing the oscillatory channel have also been investigated, showing that DT is more pronounced for larger oscillation amplitude and frequency, and asymmetric geometry within a channel period and phase difference between neighboring periods are both necessary for the occurrence of DT.},
doi = {10.1063/1.4939081},
url = {https://www.osti.gov/biblio/22493399}, journal = {Journal of Chemical Physics},
issn = {0021-9606},
number = 24,
volume = 143,
place = {United States},
year = {Mon Dec 28 00:00:00 EST 2015},
month = {Mon Dec 28 00:00:00 EST 2015}
}