Underdamped stochastic thermodynamic engines in contact with a heat bath with arbitrary temperature profile

Miangolarra, Olga Movilla; Fu, Rui; Taghvaei, Amirhossein; Chen, Yongxin; Georgiou, Tryphon T.

doi:10.1103/physreve.103.062103

Cited by 10 publications

(8 citation statements)

References 28 publications

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“…There are a number of related topics which are not covered in this review, such as optimal control of heat engines [78] (including optimal cycles [73,74,[79][80][81][82]] and efficiency at maximum power [48,[83][84][85][86][87][88][89][90][91][92][93][94][95][96]) and optimal control in quantum thermodynamics (including thermodynamic geometry [63,67,97,98] and shortcuts to adiabaticity [99][100][101]).…”

Section: Introductionmentioning

confidence: 99%

Optimal control in stochastic thermodynamics

Blaber

Sivak

2023

J. Phys. Commun.

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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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Section: Introductionmentioning

confidence: 99%

Optimal control in stochastic thermodynamics

Blaber

Sivak

2023

J. Phys. Commun.

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“…The work of Sekimoto [15,18] shed light on a thermodynamic description of Langevin systems driven far out of equilibrium. Recent attempts in quantifying the optimal performance extracted from heat engines in the microscopic scale have gained extensive attention [19][20][21][22][23][24]. Significant attention has been focused on the Carnot-like heat engine, which alternately contacts between two heat baths [25][26][27][28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Optimal performance of the stochastic thermodynamic engine with a periodic heat bath

Wang

2023

Phys. Scr.

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Stochastic thermodynamics provides a conceptual framework for describing the fluctuating behavior of small systems like colloids or biomolecules far from thermodynamic equilibriums but still contacted with a heat bath. In contrast to most literature focusing on the classical paradigm of Carnot engines, we herein study the optimal performance of the thermodynamic heat engine with a heat bath that periodically changes temperature, which is outside controllable by a time-dependent harmonic potential. Under reasonable assumptions on the control actuation, we derive the achievable upper bound for the maximal power and also the optimal control protocol. In addition, we also obtain the corresponding efficiency at maximal power, which only depends on the ratio of the minimal and maximal value of the temperature profile.

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“…In the regime of small mesoscopic systems, remarkable progress on this topic has been achieved in the last decades with the development of the field of stochastic thermodynamics [4,[9][10][11][12][13][14]. Optimal drivings are nowadays known for overdamped [15][16][17][18][19][20] and underdamped systems [21][22][23], as well as driven single-level quantum dots [24]. However, such explicit solutions only exist for one-dimensional systems and are, in general, computationally hard to scale up.…”

Section: Introductionmentioning

confidence: 99%

Thermodynamics and optimal protocols of multidimensional quadratic Brownian systems

et al. 2022

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We characterize finite-time thermodynamic processes of multidimensional quadratic overdamped systems. Analytic expressions are provided for heat, work, and dissipation for any evolution of the system covariance matrix. The Bures-Wasserstein metric between covariance matrices naturally emerges as the local quantifier of dissipation. General principles of how to apply these geometric tools to identify optimal protocols are discussed. Focusing on the relevant slow-driving limit, we show how these results can be used to analyze cases in which the experimental control over the system is partial.

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Underdamped stochastic thermodynamic engines in contact with a heat bath with arbitrary temperature profile

Cited by 10 publications

References 28 publications

Optimal control in stochastic thermodynamics

Optimal control in stochastic thermodynamics

Optimal performance of the stochastic thermodynamic engine with a periodic heat bath

Thermodynamics and optimal protocols of multidimensional quadratic Brownian systems

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