Directed transport of coupled Brownian motors in a two-dimensional traveling-wave potential**Project supported by the National Natural Science Foundation of China (Grant No. 11875135), Quanzhou Scientific and Technological Foundation, China (Grant No. 2018C085R), the Key Project of Beijing Institute of Graphic Communication, China (Grant No. Ea201702), and the International Ability Improvement Project of Teaching Staff of Beijing Institute of Graphic Communication,

Abstract

Considering an elastically coupled Brownian motors system in a two-dimensional traveling-wave potential, we investigate the effects of the angular frequency of the traveling wave, wavelength, coupling strength, free length of the spring, and the noise intensity on the current of the system. It is found that the traveling wave is the essential condition of the directed transport. The current is dominated by the traveling wave and varies nonmonotonically with both the angular frequency and the wavelength. At an optimal angular frequency or wavelength, the current can be optimized. The coupling strength and the free length of the spring can locally modulate the current, especially at small angular frequencies. Moreover, the current decreases rapidly with the increase of the noise intensity, indicating the interference effect of noise on the directed transport.