Abstract
The efficiency at maximum power output of stochastic pumps, systems drivenaway from equilibrium by a periodic variation of parameters, is investigated bystudying simple models in which the driving consists of abrupt jumps of systemparameters. The models are chosen to differ by qualitative aspects of thedynamics, namely the degree of directionality and cycle control. The behaviour atmaximum power output is found to depend on the choice of parameters used tomaximize the output. For a natural choice, in which the external force and theperiod of the driving are varied to increase the power output, numerical andanalytical results suggest that the efficiency at maximum power output is at most1/2.
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