Maximum efficiency of low-dissipation refrigerators at arbitrary cooling power

Holubec, Viktor; Ye, Zhuolin

doi:10.1103/physreve.101.052124

Cited by 14 publications

(32 citation statements)

References 60 publications

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“…As a consequence, our proposal allows for increasing the power of a finite-time Carnot cycles [7][8][9][13][14][15] and refrigerators [41][42][43][44] without compromising their efficiency.…”

Section: Discussionmentioning

confidence: 99%

“…Now we consider a refrigerator, in which input power is used to extract energy from the cold bath (i.e., to reverse the natural heat flow) [41][42][43][44]. The cooling power is given by…”

Section: B Refrigeratorsmentioning

confidence: 99%

“…37], and ϵ C is the Carnot COP, given by ϵ C ≔ ðθ −1 − 1Þ −1 . As in the previous section, our goal is to extent previous results in the low-dissipation regime for the COP at maximum cooling power [41][42][43][44] to the more generic decay of dissipation given in Eq. (34).…”

Section: B Refrigeratorsmentioning

confidence: 99%

“…Here, our aim is to design speed-ups to isothermal processes which do not come at the price of higher dissipation or work cost. As a consequence, our speedups to isothermality (SI) can be readily used to maximize the power of finite-time Carnot engines [7,9,[13][14][15] and refrigerators [41][42][43][44][45][46][47] while keeping their efficiency constant. Because of the extra control of the system-bath interaction, we find that the dissipation W diss for optimal SI can asymptotically decay as…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Speed-Ups to Isothermality: Enhanced Quantum Thermal Machines through Control of the System-Bath Coupling

et al. 2020

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Isothermal transformations are minimally dissipative but slow processes, as the system needs to remain close to thermal equilibrium along the protocol. Here, we show that smoothly modifying the system-bath interaction can significantly speed up such transformations. In particular, we construct protocols where the overall dissipation W diss decays with the total time τ tot of the protocol as W diss ∝ τ −2α−1 tot , where each value α > 0 can be obtained by a suitable modification of the interaction, whereas α ¼ 0 corresponds to a standard isothermal process where the system-bath interaction remains constant. Considering heat engines based on such speed-ups, we show that the corresponding efficiency at maximum power interpolates between the Curzon-Ahlborn efficiency for α ¼ 0 and the Carnot efficiency for α → ∞. Analogous enhancements are obtained for the coefficient of performance of refrigerators. We confirm our analytical results with two numerical examples where α ¼ 1=2, namely the time-dependent Caldeira-Leggett and resonant-level models, with strong system-environment correlations taken fully into account. We highlight the possibility of implementing our proposed speed-ups with ultracold atomic impurities and mesoscopic electronic devices.

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Section: Discussionmentioning

confidence: 99%

“…Now we consider a refrigerator, in which input power is used to extract energy from the cold bath (i.e., to reverse the natural heat flow) [41][42][43][44]. The cooling power is given by…”

Section: B Refrigeratorsmentioning

confidence: 99%

Section: B Refrigeratorsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Speed-Ups to Isothermality: Enhanced Quantum Thermal Machines through Control of the System-Bath Coupling

et al. 2020

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“…We report here for simplicity only on the case where

, thus

, as

The importance of the term

was noted already in [ 49 ] as a natural unit of entropy over time, defining the performance of thermal machines in the low-dissipation regime for any trade-off between power and efficiency. The equivalent optimisation for a refrigerator has been conducted in [ 76 ], where one has a cooling power and COP coefficient (this time

is defined to be positive on the cold isotherm)

which leads to a maximum cooling power at given COP (again we report it for flat spectral density

, see [ 76 ] for generalisations)

…”

Section: Optimisation Of Thermodynamic Processes In the Slow Drivimentioning

confidence: 99%

Geometric Optimisation of Quantum Thermodynamic Processes

Abiuso

Miller

Perarnau-Llobet

et al. 2020

Entropy

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Differential geometry offers a powerful framework for optimising and characterising finite-time thermodynamic processes, both classical and quantum. Here, we start by a pedagogical introduction to the notion of thermodynamic length. We review and connect different frameworks where it emerges in the quantum regime: adiabatically driven closed systems, time-dependent Lindblad master equations, and discrete processes. A geometric lower bound on entropy production in finite-time is then presented, which represents a quantum generalisation of the original classical bound. Following this, we review and develop some general principles for the optimisation of thermodynamic processes in the linear-response regime. These include constant speed of control variation according to the thermodynamic metric, absence of quantum coherence, and optimality of small cycles around the point of maximal ratio between heat capacity and relaxation time for Carnot engines.

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Performance optimization of irreversible heat devices in the nonlinear response regime: Insights from the ecological criterion

Bai

Zhang

2023

Chinese Journal of Physics

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Maximum efficiency of low-dissipation refrigerators at arbitrary cooling power

Cited by 14 publications

References 60 publications

Speed-Ups to Isothermality: Enhanced Quantum Thermal Machines through Control of the System-Bath Coupling

Speed-Ups to Isothermality: Enhanced Quantum Thermal Machines through Control of the System-Bath Coupling

Geometric Optimisation of Quantum Thermodynamic Processes

Performance optimization of irreversible heat devices in the nonlinear response regime: Insights from the ecological criterion

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