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Double-temperature ratchet model and current reversal of coupled brownian motors

Frontiers of physics 2017年第6期12卷 43-52页

作者： Chen-Pu Li Hong-Bin Chen Zhi-Gang Zheng Department of Physics Beijing Normal University Beijing 100875 China College of Science Hebei University of ArchitectureZhangjiakou 075000 China Institute of Systems Science (ISS) Huaqiao University Xiamen 361021 China College of Information Science and Engineering Huaqiao University Xiamen 361021 China

On the basis of the transport features and experimental phenomena observed in studies of molecular motors, we propose a double-temperature ratchet model of coupled motors to reveal tile dynamical mechanism of cooperative transport of motors with two heads, where the interactions and asynchrony between two motor heads are taken into account. We investigate the collective unidirectional trans- port of coupled system and find that the direction of motion can be reversed under certain conditions. Reverse motion can be achieved by modulating the coupling strength, coupling free length, and asym- metric coefficient of the periodic potential, which is understood in terms of the effective potential theory. The dependence of the directed current on various parameters is studied systematically. Di- rected transport of coupled brownian motors can be manipulated and optimized by adjusting the pulsation period or the phase shift of the pulsation temperature.

关键词： coupled brownian motors ratchet model effective potential noise

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Collective Transport of coupled brownian motors with Low Randomness

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Communications in Theoretical Physics 2007年第5X期48卷 859-863页

作者： WANG Hai-Yan Department of Physics Beijing Normal University Beijing 100875 China

The transport properties of coupled brownian motors in rocking ratchet are investigated via solving Langevin equation. By means of velocity, diffusion coefficient, and their ratio （Peclet number）, different features from a single particle have been found. In the regime of low-to-moderate D, the average velocity of elastically coupled brownian motors is larger than that of a single brownian particles; the Peclet number of elastically coupled brownian motors is peaked functions of intensity of noise D but the Peclet number of a single brownian motor decreases monotonously with the increase of a single brownian motor. The results exhibit an interesting cooperative behavior between coupled particles subjected to a rocking force, which can generate directed transport with low randomness or high transport coherence in symmetrical periodic potential.

关键词： coupled brownian motors diffusion coefficient randomness

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Ratchet motion and current motors in pulsating reversal of coupled brownian symmetric potentials

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Frontiers of physics 2017年第4期12卷 197-206页

作者： Chen-Pu Li Hong-Bin Chen Zhi-Gang Zheng Department of Physics Beijing Normal University Beijing 100875 China College of Science Hebei University of Architecture Zhangjiakou 075000 China Institute of Systems Science (ISS) Huaqiao University Xiamen 361021 China College of Information Science and Engineering Huaqiao University Xiamen 361021 China

In this study, we investigate the collective directed transport of coupled brownian particles in spatially symmetric periodic potentials under time-periodic pulsating modulations. We find that the coupling between two particles can induce symmetry breaking and consequently collective directed motion. Moreover, the direction of motion can be reversed under certain conditions. The dependence of directed current on various parameters is systematically studied, reverse motion can be achieved by modulating the coupling free length and the phase shift of tile pulsating potential. The dynamical mechanism of these transport properties is understood in terms of the effective-potential theory and the space-time transformation invariance. The directed transport of coupled brownian motors can be maniplflated and optimized by adjusting the coupling strength, pulsating frequency, or noise intensity.

关键词： coupled brownian motors ratchet effective potential symmetric periodic potential noise

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