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In the paper, we investigate the transport properties of coupled flashing ratchets in viscoelastic media. Using generalized Langevin equation, subvelocity V α , subdiffusive coefficient D α and generalized Peclet number P e α are calculated as functions of the temperature T and the flashing period τ with different subdiffusive exponents α . The results show that the transport of coupled flashing ratchets can be optimized in viscoelastic media. [ABSTRACT FROM AUTHOR]

Abstract: With this work, we investigate an often neglected aspect of coupled Brownian motors transport, namely, transport coherence. To discuss the transport coherence of coupled Brownian motors, velocity, diffusion coefficient and their ratio (Pe number) are calculated via solving Langevin equation in fluctuating potential ratchet. The results demonstrate that the collective effect of coupled Brownian ratchets can generate high transport coherence. [Copyright &y& Elsevier]

The properties of a ratchet system rectifying the random motion of two harmonically coupled particles with arbitrary coupling strengths are studied via Langevin simulations. In comparison with the result of single particle, our results show that the average center-of-mass velocity vc of two particles is larger than the average velocity v1 of single particle in the rocking ratchet for low-to-moderate noise intensities, however, vc in the flashing ratchet. The former is due to the decrease of effective barrier that the center-of-mass of two particles feels, and the latter is because of the distance of two diffusing particles across the nearest barrier increasing effectively. Numerical results are performed for a larger parameter regime and the validation of the proposed effective potential is illustrated. [Copyright &y& Elsevier]