The underdamped Brownian duet and stochastic linear irreversible thermodynamics

Proesmans, Karel; Broeck, C. Van den

doi:10.1063/1.5001187

Cited by 28 publications

(23 citation statements)

References 62 publications

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“…Dashed lines show the values of λ 1 the system can not be operated as a thermal machine. [18,[43][44][45][46][47]. The conversion of a given type of energy into another one requires the existence of a generic force X 1 operating against its flux J 1 X 1 0 counterbalancing with driving forces X 2 and X T in which J 2 X 2 + J T X T 0.…”

Section: Bilinear Form and Onsager Coefficientsmentioning

confidence: 99%

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Thermodynamics of collisional models for Brownian particles: General properties and efficiency

Stable

Noa

Oropesa

et al. 2020

Phys. Rev. Research

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We introduce the idea of collisional models for Brownian particles, in which a particle is sequentially placed in contact with distinct thermal environments and external forces. Thermodynamic properties are exactly obtained, irrespective of the number of reservoirs involved. In the presence of external forces, the entropy production presents a bilinear form in which Onsager coefficients are exactly calculated. Analysis of Brownian engines based on sequential thermal switchings is proposed and considerations about their efficiencies are investigated, taking into account distinct external forces protocols. Our results shed light to an alternative route for obtaining efficient thermal engines based on finite times Brownian machines.

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Section: Bilinear Form and Onsager Coefficientsmentioning

confidence: 99%

“…(49) and (50), powers P mP , P mE and efficiencies η mP , η mE are linked through a couple of simple expressions (in similarity with Refs. [18,46]):…”

Section: Bilinear Form and Onsager Coefficientsmentioning

confidence: 99%

Thermodynamics of collisional models for Brownian particles: General properties and efficiency

Stable

Noa

Oropesa

et al. 2020

Phys. Rev. Research

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“…For classical heat engines, efficiency fluctuations have been theoretically investigated in recent studies [6][7][8][9][10][11][12][13][14][15][16]. In particular, the stochastic efficiency of a Carnot engine has been shown to admit values larger than the Carnot bound [6].…”

Section: Introductionmentioning

confidence: 99%

Efficiency fluctuations of a quantum heat engine

Denzler

Lutz

2020

Phys. Rev. Research

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The efficiency of quantum heat engines is a stochastic quantity owing to the presence of thermal and quantum fluctuations. We here extend the standard two-projective-measurement scheme to derive the efficiency distribution of a quantum Otto engine. We analyze the generic properties of this distribution for scale-invariant driving Hamiltonians which describe a large class of single-particle, many-body, and nonlinear systems. We find that the mean efficiency is equal to the macroscopic efficiency for adiabatic driving. It generally diverges for nonadiabatic driving when no heat is absorbed while work is produced. We further compute the quantum efficiency statistics for an analytically solvable two-level engine and investigate its classical-to-quantum transition.

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“…A natural question to ask is how the classical ideas of linear irreversible thermodynamics can be incorporated in the theory of stochastic thermodynamics. This problem has been addressed for several case-studies [10][11][12][13][14][15][16][17][18][19]. Furthermore, general theories have been derived for periodically driven systems in contact with a single reservoir [20][21][22], and for steady-state systems in contact with two reservoirs [23,24], leading to bounds the power and efficiency of thermodynamic engines [25][26][27].…”

Section: Introductionmentioning

confidence: 99%

General linear thermodynamics for periodically driven systems with multiple reservoirs

Proesmans

Fiore²

2019

Phys. Rev. E

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We derive a linear thermodynamics theory for general Markov dynamics with both steady-state and time-periodic drivings. Expressions for thermodynamic quantities, such as mechanical and chemical work, heat and entropy production are obtained in terms of equilibrium probability distribution and the drivings. The entropy production is derived as a bilinear function of thermodynamic forces and the associated fluxes. We derive explicit formulae for the Onsager coefficients and use them to verify the Onsager-Casimir reciprocal relations. Our results are illustrated on a periodically driven quantum dot in contact with two electron reservoirs and optimization protocols are discussed.

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The underdamped Brownian duet and stochastic linear irreversible thermodynamics

Cited by 28 publications

References 62 publications

Thermodynamics of collisional models for Brownian particles: General properties and efficiency

Thermodynamics of collisional models for Brownian particles: General properties and efficiency

Efficiency fluctuations of a quantum heat engine

General linear thermodynamics for periodically driven systems with multiple reservoirs

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