Optimal Control in Stochastic Thermodynamics

Abstract

We review recent progress in optimal control in stochastic thermodynamics. Theoretical advances provide in-depth insight into minimum-dissipation control with either full or limited (parametric) control, and spanning the limits from slow to fast driving and from weak to strong driving. Known exact solutions give a window into the properties of minimum-dissipation control, which are reproduced by approximate methods in the relevant limits. Connections between optimal-transport theory and minimum-dissipation protocols under full control give deep insight into the properties of optimal control and place bounds on the dissipation of thermodynamic processes. Since minimum-dissipation protocols are relatively well understood and advanced approximation methods and numerical techniques for estimating minimum-dissipation protocols have been developed, now is an opportune time for application to chemical and biological systems.

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Cited by in corpus (33)

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• Efficient control protocols for an active Ornstein-Uhlenbeck particle
• Flow of Energy and Information in Molecular Machines
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• Thermodynamic geometry of ideal quantum gases: a general framework and a geometric picture of BEC-enhanced heat engines
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• Stochastic thermodynamic bounds on logical circuit operation
• Optimal Control in Soft and Active Matter
• Information in feedback ratchets
• Scaling of Stochastic Normalizing Flows in $\mathrm{SU}(3)$ lattice gauge theory
• Geometric thermodynamics of reaction-diffusion systems: Thermodynamic trade-off relations and optimal transport for pattern formation
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• Minimum time connection between non-equilibrium steady states: the Brownian gyrator
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• Active charge and discharge of a capacitor: scaling solution and energy optimization
• Bit reset protocols that obey activity-constrained speed limits do not minimize work for a given speed
• Optimal synchronisation to a limit cycle
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• Optimal constrained control for generally damped Brownian heat engines
• Increasing the clock speed of a thermodynamic computer by adding noise
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• Thermodynamic speed limit for non-adiabatic work and its classical-quantum decomposition
• Minimal dissipation with viscoelastic baths in weakly driven processes
• Optimal control strategy for collisional Brownian engines