Abstract
We propose a time dependent force suitable for rectifying the current in a deterministic chaotic ratchet system. This force of a piecewise shape is characterized by its amplitude Q and its phase λ, referred to as the temporal asymmetry parameter. When , with , the asymmetry of this force of period T is guaranteed, while the time reversal symmetry is always broken. The emergent current reversal is systematically controlled by means of Q and λ. The direction of a particle can thus be enforced, thereby avoiding or inducing current reversal. A threshold amplitude for which current reversal is predominant is found to be matching with the periodic–chaotic transition. It is shown that the current behavior is predictable with the associated bifurcation diagram. Finally, we computed a two-parameter (Q, λ) current reversal diagram which may be an interesting guide for experiments.
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