# Singular optimal driving cycles of stochastic pumps

@article{Bogod2022SingularOD, title={Singular optimal driving cycles of stochastic pumps}, author={Ilana Bogod and Saar Rahav}, journal={Physical Review Research}, year={2022} }

The investigation of optimal processes has a long history in the ﬁeld of thermodynamics. It is well known that ﬁnite-time processes that minimize dissipation often exhibit discontinuities. We use a combination of numerical and analytical approaches to study the driving cycle that maximizes the output in a simple model of a stochastic pump: a system driven out of equilibrium by a cyclic variation of external parameters. We ﬁnd that this optimal solution is singular, with an inﬁnite rate of…

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