Limited-control optimal protocols arbitrarily far from equilibrium

Zhong, Adrianne; DeWeese, Michael R.

doi:10.1103/physreve.106.044135

Cited by 16 publications

(12 citation statements)

References 60 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The cyclic path in information geometry and optimal transport theory was discussed in the optimal heat engine [27,31,32,93,94] and the geometric pump [95]. A geometric interpretation of the restricted path may also be interesting in the context of optimal limited control [96][97][98][99]. The dual coordinate systems in stochastic thermodynamics provide the duality in stochastic thermodynamics [41,42,44,82,83,100,101], which is related to the variational calculus such as the maximum caliber principle [44,[101][102][103] and the Schrödinger bridge [104,105].…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Geometric thermodynamics for the Fokker–Planck equation: stochastic thermodynamic links between information geometry and optimal transport

Ito

2023

Info. Geo.

View full text Add to dashboard Cite

We propose a geometric theory of non-equilibrium thermodynamics, namely geometric thermodynamics, using our recent developments of differential-geometric aspects of entropy production rate in non-equilibrium thermodynamics. By revisiting our recent results on geometrical aspects of entropy production rate in stochastic thermodynamics for the Fokker–Planck equation, we introduce a geometric framework of non-equilibrium thermodynamics in terms of information geometry and optimal transport theory. We show that the proposed geometric framework is useful for obtaining several non-equilibrium thermodynamic relations, such as thermodynamic trade-off relations between the thermodynamic cost and the fluctuation of the observable, optimal protocols for the minimum thermodynamic cost and the decomposition of the entropy production rate for the non-equilibrium system. We clarify several stochastic-thermodynamic links between information geometry and optimal transport theory via the excess entropy production rate based on a relation between the gradient flow expression and information geometry in the space of probability densities and a relation between the velocity field in optimal transport and information geometry in the space of path probability densities.

show abstract

Section: Conclusion and Discussionmentioning

confidence: 99%

Geometric thermodynamics for the Fokker–Planck equation: stochastic thermodynamic links between information geometry and optimal transport

Ito

2023

Info. Geo.

View full text Add to dashboard Cite

show abstract

“…Extending minimum-dissipation full control and the connections to optimal-transport theory to more general forms of dynamics (e.g., discrete state spaces) is a rapidly advancing area of active research [47,[52][53][54][55][56].…”

Section: Full Controlmentioning

confidence: 99%

“…This technique eventually led to new fundamental lower bounds on the average work required for finite-time information erasure [50,51]. Initially only applicable to overdamped dynamics, the connections between optimal-transport theory and minimum-dissipation protocols have recently been shown for discrete-state and quantum systems [47,[52][53][54][55][56].…”

Section: Introductionmentioning

confidence: 99%

“…General solutions for parametric control are typically difficult to determine, although recent progress has been made towards exact solutions for general systems building off of optimal-transport [54] or advanced numerical techniques [39,57,58]. Although exact solutions are convenient where possible, the determination of minimumdissipation protocols can be considerably simplified through approximate methods.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Optimal control in stochastic thermodynamics

Blaber

Sivak

2023

J. Phys. Commun.

View full text Add to dashboard Cite

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.

show abstract

“…Recent work has derived optimal protocols in the opposite limit of very fast driving; these rapid protocols, and interpolations between them and near-equilibrium ones, would allow systematic characterization of efficiency across driving speeds. Our simple near-equilibrium theory may also be helpful in physically constraining machine-learning algorithms or in more direct numerical calculation of optimal protocols far from equilibrium. Moreover, there is promise in exploring near-optimal protocols, analysis of which significantly broadens the class of successful control strategies.…”

mentioning

confidence: 99%

Optimal Control of the F₁-ATPase Molecular Motor

Gupta

Large

Toyabe

et al. 2022

J. Phys. Chem. Lett.

View full text Add to dashboard Cite

F1-ATPase is a rotary molecular motor that in vivo is subject to strong nonequilibrium driving forces. There is great interest in understanding the operational principles governing its high efficiency of free-energy transduction. Here we use a near-equilibrium framework to design a nontrivial control protocol to minimize dissipation in rotating F1 to synthesize adenosine triphosphate. We find that the designed protocol requires much less work than a naive (constant-velocity) protocol across a wide range of protocol durations. Our analysis points to a possible mechanism for energetically efficient driving of F1 in vivo and provides insight into free-energy transduction for a broader class of biomolecular and synthetic machines.

show abstract

Limited-control optimal protocols arbitrarily far from equilibrium

Cited by 16 publications

References 60 publications

Geometric thermodynamics for the Fokker–Planck equation: stochastic thermodynamic links between information geometry and optimal transport

Geometric thermodynamics for the Fokker–Planck equation: stochastic thermodynamic links between information geometry and optimal transport

Optimal control in stochastic thermodynamics

Optimal Control of the F₁-ATPase Molecular Motor

Contact Info

Product

Resources

About

Limited-control optimal protocols arbitrarily far from equilibrium

Cited by 16 publications

References 60 publications

Geometric thermodynamics for the Fokker–Planck equation: stochastic thermodynamic links between information geometry and optimal transport

Geometric thermodynamics for the Fokker–Planck equation: stochastic thermodynamic links between information geometry and optimal transport

Optimal control in stochastic thermodynamics

Optimal Control of the F1-ATPase Molecular Motor

Contact Info

Product

Resources

About

Optimal Control of the F₁-ATPase Molecular Motor