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Considering a double-headed Brownian motor moving with both translational androtational degrees of freedom, we investigate the directed transport propertiesof the system in a traveling-wave potential. It is found that the travelingwave 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 thetraveling wave, noise intensity, external driving force and the rod length. Bytransforming the dynamical equation in traveling-wave potential into that in atilted potential, the mechanism of current reversal is analyzed. For both casesof Gaussian and Levy noises, the currents show similar dependence on theparameters. Moreover, the current in the tilted potential shows a typicalstochastic resonance effect. The external driving force has also aresonance-like effect on the current in the tilted potential. But the currentin the traveling-wave potential exhibits the reverse behaviors of that in thetilted potential. Besides, the currents obviously depend on the stability indexof the Levy noise under certain conditions.

Rotation-translation coupling of a double-headed brownian motor in a traveling-wave potential