Directed transport of coupled Brownian motors in a two-dimensional traveling-wave potential

2020 ◽  
Vol 29 (9) ◽  
pp. 090503
Author(s):  
Wei-Xia Wu ◽  
Zhi-Gang Zheng ◽  
Yan-Li Song ◽  
Ying-Rong Han ◽  
Zhi-Cheng Sun ◽  
...  
Keyword(s):  
Traveling Wave ◽  
Two Dimensional ◽  
Brownian Motors ◽  
Directed Transport ◽  
Wave Potential ◽  
Coupled Brownian Motors

The Directed Transport of Elastically Coupled Brownian Motors in a Two-Dimensional Potential

2014 ◽  
Vol 668-669 ◽  
pp. 647-650
Author(s):  
Wei Xia Wu
Keyword(s):  
Numerical Simulation ◽  
Two Dimensional ◽  
Brownian Motors ◽  
Directed Transport ◽  
Directional Flow ◽  
Ac Drive ◽  
Coupled Brownian Motors ◽  
Ratchet Potential

A model of directed transport of elastically coupled Brownian motors in a two-dimensional potential is established, in which one AC drive and a noise are acted on the non-ratchet potential direction but none is acted on the ratchet potential direction. Through numerical simulation, the position and the velocity of the coupled Brownian motors in two directions versus time are analyzed in different cases, which include that the AC drive and the noise are all moderate in the non-ratchet potential direction, no AC drive or no noise. The results show that at appropriate AC drive or the noise, there is a directional flow in the ratchet potential direction none acted.

scholarly journals Anti-periodic traveling wave solutions to a class of higher-order Kadomtsev-Petviashvili-Burgers equations

1994 ◽  
Vol 7 (1) ◽  
pp. 1-12
Author(s):  
Sergiu Aizicovici ◽  
Yun Gao ◽  
Shih-Liang Wen
Keyword(s):  
Traveling Wave ◽  
Continuous Dependence ◽  
Traveling Wave Solutions ◽  
Higher Order ◽  
Two Dimensional ◽  
Burgers Equations ◽  
Wave Solutions ◽  
Periodic Traveling Wave ◽  
Continuous Dependence On Data

We discuss the existence, uniqueness, and continuous dependence on data, of anti-periodic traveling wave solutions to higher order two-dimensional equations of Korteweg-deVries type.

The single- and double-particle properties and the current reversal of coupled Brownian motors

2017 ◽  
Vol 50 (47) ◽  
pp. 475003
Author(s):  
Chen-Pu Li ◽  
Hong-Bin Chen ◽  
Hong Fan ◽  
Wen-Mei Shen ◽  
Zhi-Gang Zheng
Keyword(s):  
Brownian Motors ◽  
Particle Properties ◽  
Current Reversal ◽  
Coupled Brownian Motors

The Optimum Design of Traveling-Wave Electroosmotic Micropumps

2009 ◽  
Author(s):  
Shou-Ping Hsu ◽  
Hong-Jun Ye ◽  
Win-Jet Luo ◽  
Jauh-Shyong Chen
Keyword(s):  
Electric Field ◽  
Optimum Design ◽  
Double Layer ◽  
Traveling Wave ◽  
Microelectrode Arrays ◽  
Operating Frequency ◽  
Optimum Operating ◽  
Gap Size ◽  
Wave Potential

This study investigates the performace of electroosmotic micropumps with arrays of microelectrodes for pumping electrolyte in a microchannel. Traveling-wave potentials are applied to the microelectrode arrays. Ions accumulate in the double layer in response to the applied signal. The electric field acts on the charge pulling the fluid in the direction of the traveling wave. In this study, the effects of the widths and heights of the electrodes, the gap size between the electrodes and the frequency of the applied traveling-wave potential on the pumping velocity of the micropump are investigated in order to obtain the optimum design of the micropump. The optimum operating frequency of the traveling-wave potential is about 1 kHz for the micropumps with different electrode widths and gap sizes. The pumping velocities increase with the decrease of the electrode widths and gap sizes for the micropumps. For the micropumps with different electrode widths and gap sizes, it is found the optimum electrode heights are about 5.5 μm when the gap sizes are less than the electrode widths, and the optimum electrode heights are about 10.4 μm when the gap sizes are greater than the electrode widths.

Similarity reductions and exact solutions for two-dimensional Euler–Boussinesq equations

2019 ◽  
Vol 33 (27) ◽  
pp. 1950328
Author(s):  
En Gui Fan ◽  
Man Wai Yuen
Keyword(s):  
Exact Solutions ◽  
Stream Function ◽  
Traveling Wave ◽  
Traveling Wave Solutions ◽  
Boussinesq Equations ◽  
Two Dimensional ◽  
Similarity Reduction ◽  
Wave Solutions ◽  
Similarity Reductions

In this paper, by introducing a stream function and new coordinates, we transform classical Euler–Boussinesq equations into a vorticity form. We further construct traveling wave solutions and similarity reduction for the vorticity form of Euler–Boussinesq equations. In fact, our similarity reduction provides a kind of linearization transformation of Euler–Boussinesq equations.

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