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A Two-State Model for the Transport of Molecular Motors

In this paper a model in which the flashing colored noise induces the directed motion of Brownian motors is proposed. The problems of the directed motion and the current reversal of the Brownian particle can be discussed in a unified theoretical framework. For the specified potential, the current of the directed motion and the current reversal depend on the factors such as the noise intensity and the flip frequency are calculated. The changing of correlation time can also lead to current reversal.