Singular optimal driving cycles of stochastic pumps

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