Abstract
We study the energetic efficiency of a Brownian particle moving in a spatially symmetric potential with temporally symmetric unbiased fluctuations, which is driven by cross-correlated multiplicative and additive noise. The analytical expressions of the current and efficiency at the quasi-steady state limit are presented. Based on the current and efficiency, it is found that: (i) there exists an optimal value of the temperatures and driving force, at which the current takes its maximum, which means that these parameters can facilitate the transport of Brownian particles; (ii) the efficiency shows a resonant-like phenomenon as a function of the temperatures, the load and the driving force, which implies that these parameters can induce optimized efficiency of energy transformation at finite values; and (iii) the efficiency optimization increases with the increase of the cross-correlation between two noises, i.e. the cross-correlation between two noises can enhance the efficiency optimization.
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