Numerical optimal control finds that for a harmonically trapped Brownian heat engine, maximum power and efficiency fall as damping weakens, and optimizing the temperature profile materially improves efficiency at intermediate damping.
(15) for a time-periodic solution σ(t) by forward integration from an initial condition, given the current u(t) and λ(t)
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Optimal constrained control for generally damped Brownian heat engines
Numerical optimal control finds that for a harmonically trapped Brownian heat engine, maximum power and efficiency fall as damping weakens, and optimizing the temperature profile materially improves efficiency at intermediate damping.