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Rotation-translation coupling of a double-headed Brownian motor in a traveling-wave potential
Frontiers of Physics ( IF 7.5 ) Pub Date : 2021-03-30 , DOI: 10.1007/s11467-021-1057-x
Wei-Xia Wu , Chen-Pu Li , Yan-Li Song , Ying-Rong Han , Zhi-Gang Zheng

Considering a double-headed Brownian motor moving with both translational and rotational degrees of freedom, we investigate the directed transport properties of the system in a traveling-wave potential. It is found that the traveling wave provides the essential condition of the directed transport for the system, and at an appropriate angular frequency, the positive current can be optimized. A general current reversal appears by modulating the angular frequency of the traveling wave, noise intensity, external driving force and the rod length. By transforming the dynamical equation in traveling-wave potential into that in a tilted potential, the mechanism of current reversal is analyzed. For both cases of Gaussian and Lévy noises, the currents show similar dependence on the parameters. Moreover, the current in the tilted potential shows a typical stochastic resonance effect. The external driving force has also a resonance-like effect on the current in the tilted potential. But the current in the traveling-wave potential exhibits the reverse behaviors of that in the tilted potential. Besides, the currents obviously depend on the stability index of the Lévy noise under certain conditions.



中文翻译:

双头布朗电机在行波势中的旋转-平移耦合

考虑带有平移和旋转自由度的双头布朗电机,我们研究了行波势中系统的定向传输特性。发现行波为系统提供了定向传输的基本条件,并且在适当的角频率下,正电流可以得到优化。通过调节行波的角频率,噪声强度,外部驱动力和杆长度,通常会出现电流逆转。通过将行波电势的动力学方程式转换为倾斜电势的动力学方程式,分析了电流反转的机理。对于高斯噪声和列维噪声,电流对参数的依赖性相似。而且,倾斜电位中的电流显示出典型的随机共振效应。外部驱动力还对倾斜电势中的电流产生类似共振的影响。但是行波电势中的电流表现出与倾斜电势中的电流相反的行为。此外,在某些条件下,电流显然取决于Lévy噪声的稳定性指标。

更新日期:2021-03-30
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