Steps minimize dissipation in rapidly driven stochastic systems

Abstract

Micro- and nano-scale systems driven by rapid changes in control parameters (control protocols) dissipate significant energy. In the fast-protocol limit, we find that protocols that minimize dissipation at fixed duration are universally given by a two-step process, jumping to and from a point that balances jump size with fast relaxation. Jump protocols could be exploited by molecular machines or thermodynamic computing to improve energetic efficiency, and implemented in nonequilibrium free-energy estimation to improve accuracy.

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Cited by in corpus (20)

• Optimal Control in Stochastic Thermodynamics
• Geometric thermodynamics for the Fokker-Planck equation: Stochastic thermodynamic links between information geometry and optimal transport
• Collective advantages in finite-time thermodynamics
• Minimally dissipative information erasure in a quantum dot via thermodynamic length
• Limited-control optimal protocols arbitrarily far from equilibrium
• Thermodynamics and optimal protocols of multidimensional quadratic Brownian systems
• Optimal Control of the F${}_1$-ATPase Molecular Motor
• Performance of optimal linear-response processes in driven Brownian motion far from equilibrium
• Beyond Linear Response: Equivalence between Thermodynamic Geometry and Optimal Transport
• Optimal control of dissipation and work fluctuations for rapidly driven systems
• Efficient two-dimensional control of barrier crossing
• Learning efficient erasure protocols for an underdamped memory
• Optimal control with a strong harmonic trap
• Active particles in moving traps: minimum work protocols and information efficiency of work extraction
• Analytical solution for optimal protocols of weak drivings
• Time-Asymmetric Fluctuation Theorem and Efficient Free Energy Estimation
• Scaling flow-based approaches for topology sampling in $\mathrm{SU}(3)$ gauge theory
• Rapid optimal work extraction from a quantum-dot information engine
• Multiparameter optimal control of F1-ATPase
• Global thermodynamic manifold for conservative control of stochastic systems