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.

References in corpus (80)

• A nonequilibrium equality for free energy differences
• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Verification of the Crooks fluctuation theorem and recovery of RNA folding free energies
• Shortcuts to adiabaticity: concepts, methods, and applications
• Steady State Thermodynamics of Langevin Systems
• Efficiency at maximum power of low dissipation Carnot engines
• High-precision test of Landauer's principle in a feedback trap
• Measuring thermodynamic length
• Universality of efficiency at maximum power
• Optimal finite-time processes in stochastic thermodynamics
• Thermodynamic metrics and optimal paths
• Universal trade-off relation between power and efficiency for heat engines
• Optimal protocols and optimal transport in stochastic thermodynamics
• The Physical Origins of Entropy Production, Free Energy Dissipation and their Mathematical Representations
• Integral fluctuation theorem for the housekeeping heat
• Extracting work from a single heat bath through feedback
• Thermodynamic Unification of Optimal Transport: Thermodynamic Uncertainty Relation, Minimum Dissipation, and Thermodynamic Speed Limits
• Finite-time Landauer principle
• Optimal protocols for minimal work processes in underdamped stochastic thermodynamics
• The geometry of thermodynamic control
• Theory of nonequilibrium free energy transduction by molecular machines
• Optimal cycles for low-dissipation heat engines
• Efficiency of molecular motors at maximum power
• Thermodynamic Geometry of Microscopic Heat Engines
• Thermodynamic length in open quantum systems
• Finite time thermodynamics for a single level quantum dot
• Power-efficiency-dissipation relations in linear thermodynamics
• Optimal driving of isothermal processes close to equilibrium
• Geometrical aspects of entropy production in stochastic thermodynamics based on Wasserstein distance
• Minimum entropy production, detailed balance and Wasserstein distance for continuous-time Markov processes
• Erasure without work in an asymmetric, double-well potential
• A geometric approach to optimal nonequilibrium control: Minimizing dissipation in nanomagnetic spin systems
• Computing the optimal protocol for finite-time processes in stochastic thermodynamics
• Dynamic Riemannian Geometry of the Ising Model
• A dissipation bound for thermodynamic control
• Analysis of slow transitions between nonequilibrium steady states
• Driving rapidly while remaining in control: classical shortcuts from Hamiltonian to stochastic dynamics
• Thermodynamic control -- an old paradigm with new applications
• Optimal finite-time bit erasure under full control
• Optimal Control of Overdamped Systems
• Phase transition in protocols minimizing work fluctuations
• Shortcuts to adiabaticity from linear response theory
• Clausius inequality and optimality of quasi static transformations for nonequilibrium stationary states
• Thermodynamic geometry of minimum-dissipation driven barrier crossing
• Experimental validation of the $1/\tau$ -scaling entropy generation in finite-time thermodynamics with dry air
• Optimal estimates of free energies from multi-state nonequilibrium work data
• Nonequilibrium dissipation-free transport in F1-ATPase and the thermodynamic role of asymmetric allosterism
• A geometric bound on the efficiency of irreversible thermodynamic cycles
• Geometry of work fluctuations versus efficiency in microscopic thermal machines
• Minimal dissipation in processes far from equilibrium
• Optimal control of transitions between nonequilibrium steady states
• Topological Speed Limit
• Fluctuations in heat engines
• Housekeeping and excess entropy production for general nonlinear dynamics
• Optimal operating protocol to achieve efficiency at maximum power of heat engines
• Recovery of state-specific potential of molecular motor from single-molecule trajectory
• Nanoscale virtual potentials using optical tweezers
• Thermodynamic transformations of nonequilibrium states
• Steps minimize dissipation in rapidly driven stochastic systems
• Optimal finite-time Brownian Carnot engine
• Finite-Time Thermodynamics of Fluctuations in Microscopic Heat Engines
• Skewed Thermodynamic Geometry and Optimal Free Energy Estimation
• Limited-control optimal protocols arbitrarily far from equilibrium
• Thermodynamics and optimal protocols of multidimensional quadratic Brownian systems
• Optimal Control of Rotary Motors
• Optimal discrete control: minimizing dissipation in discretely driven nonequilibrium systems
• Stochastic control in microscopic nonequilibrium systems
• Alchemical Grid Dock (AlGDock): Binding Free Energy Calculations between Flexible Ligands and Rigid Receptors
• Multidimensional minimum-work control of a 2D Ising model
• Work needed to drive a thermodynamic system between two distributions
• Shortcuts to adiabaticity applied to nonequilibrium entropy production: An information geometry viewpoint
• Optimal Control of the F${}_1$-ATPase Molecular Motor
• Performance of optimal linear-response processes in driven Brownian motion far from equilibrium
• Optimizing Brownian heat engine with shortcut strategy
• Optimization of stochastic thermodynamic machines
• Efficient two-dimensional control of barrier crossing
• Underdamped stochastic thermodynamic engines in contact with a heat bath with arbitrary temperature profile
• Optimal control with a strong harmonic trap
• Quantitative analysis of Clausius inequality
• Optimal control of protein copy number

Cited by in corpus (33)

• Active matter under control: Insights from response theory
• Roadmap on Quantum Thermodynamics
• Efficient control protocols for an active Ornstein-Uhlenbeck particle
• Flow of Energy and Information in Molecular Machines
• Energetic cost of feedback control
• Thermodynamic geometry of ideal quantum gases: a general framework and a geometric picture of BEC-enhanced heat engines
• Active particles in moving traps: minimum work protocols and information efficiency of work extraction
• 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
• Optimal control of levitated nanoparticles through finite-stiffness confinement
• Efficiently driving F${}_1$ molecular motor in experiment by suppressing nonequilibrium variation
• Minimum time connection between non-equilibrium steady states: the Brownian gyrator
• Experimentally achieving minimal dissipation via thermodynamically optimal transport
• Speed limit, dissipation bound and dissipation-time trade-off in thermal relaxation processes
• 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
• Scaling flow-based approaches for topology sampling in $\mathrm{SU}(3)$ gauge theory
• Optimal constrained control for generally damped Brownian heat engines
• Increasing the clock speed of a thermodynamic computer by adding noise
• Noise equals control
• Multiparameter optimal control of F1-ATPase
• Experimentally accessible measurement of irreversibility in stochastic systems by categorizing single-molecule displacements
• Decomposition of metric tensor in thermodynamic geometry in terms of relaxation timescales
• Thermodynamic optimization equalities in weakly driven processes
• Kinetic glass transition in granular gases and non-linear molecular fluids
• Global thermodynamic manifold for conservative control of stochastic systems
• 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