Transport coherence and diffusion in a temporal asymmetric rocked ratchet model

Abstract

We study the overdamped Brownian dynamics of a particle in a sawtooth potential along with a temporal asymmetric driving force. We observe that in the deterministic limit, the transport coherence which is determined by a dimensionless quantity, called Peclet number Pe, is quite high under certain circumstances. For all the regime of parameter space of this model, Pe in our model shows similar features of current like Stokes efficiency. Diffusion as a function of driving amplitude shows a nonmonotonic behavior and results a minimum exactly at which the current shows a maximum. Unlike the previously studied models, Pe in our model shows a peaking behavior with temperature. Moreover, the diffusion shows a nonlinear dependence of temperature in the long-time limit and it is sensitive to the potential asymmetry parameter.