Rotational effect in two-dimensional cooperative directed transport

doi:10.1007/s11467-014-0423-3

Front. Phys.

2015, Vol. 10

Issue (1) : 108701 https://doi.org/10.1007/s11467-014-0423-3

Condensed Matter, Materials Physics, and Statistical Physics

Rotational effect in two-dimensional cooperative directed transport

Li-Yan Qiao¹,Yun-yun Li²,Zhi-Gang Zheng^1,^*(

)

1. Department of Physics and the Beijing-Hong Kong-Singapore Joint Center for Nonlinear and Complex Studies, Beijing Normal University, Beijing 100876, China
2. Center for Phononics and Thermal Energy Science, School of Physics Science and Engineering, Tongji University, Shanghai 200092, China

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Abstract

In this review we investigate the rotation effect in the motion of coupled dimer in a two-dimensional asymmetric periodic potential. Free rotation does not generate directed transport in translational direction, while we find it plays an critical role in the motors motility when the dimer moves under the effect of asymmetry ratchet potential. In the presence of external force, we study the relation between the average current and the force numerically and theoretically. The numerical results show that only appropriate driving force could produce nonzero current and there are current transitions when the force is large enough. An analysis of stability analysis of limit cycles is applied to explain the occurrence of these transitions. Moreover, we numerically simulate the transport of this coupled dimer driven by the random fluctuations in the rotational direction. The existence of noise smooths the current transitions induced by the driving force and the resonance-like peaks which depend on the rod length emerge in small noise strength. Thanks to the noise in the rotational direction, autonomous motion emerges without the external force and large noise could make the current reversal happen. Eventually, the new mechanism to generate directed transport by the rotation is studied.

Keywords molecular motor rotational effect noise rotation-translation coupling directed translational motion

Corresponding Author(s): Zhi-Gang Zheng

Issue Date: 10 February 2015

Cite this article:

Li-Yan Qiao,Yun-yun Li,Zhi-Gang Zheng. Rotational effect in two-dimensional cooperative directed transport[J]. Front. Phys. , 2015, 10(1): 108701.

URL:

https://academic.hep.com.cn/fop/EN/10.1007/s11467-014-0423-3
https://academic.hep.com.cn/fop/EN/Y2015/V10/I1/108701

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