Efficiency in a temporally asymmetric Brownian motor with stochastic potentials

The efficiency of a Brownian motor moving in a periodic potential is investigated in the presence of a position-dependent stochastic perturbation and a temporally asymmetric unbiased external force. The competition between two or more driving factors may induce optimized efficiency at finite temperatures, which indicates that thermal fluctuations facilitate the efficiency of energy transformation. There is an optimized value of the asymmetric parameter of external force at which the efficiency exhibits its maximum. It is also found that the potential fluctuations can facilitate energy conversion.