Quantum-dot heat engines with irreversible heat transfer

Du, Jianying; Shen, Wei; Zhang, Xin; Su, Shanhe; Chen, Jincan

doi:10.1103/physrevresearch.2.013259

Cited by 15 publications

(11 citation statements)

References 52 publications

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“…In addition, we are motivated to know how much of the maximum available power is being utilized and how the model performs the task at the optimum condition. Recently, few papers have appeared related to quantum dot engine [19][20][21][22][23][24][25][26]. They studied efficiency, power, and period at two optimum operations of a thermoelectric single-level quantum dot in the absence of stochastic external forces.…”

Section: Introductionmentioning

confidence: 99%

Optimized Efficiency at Two Optimum Operations of a Stochastically Driven Quantum Dot Heat Engine

Bassie

Birhanu

Abebe

et al. 2022

Advances in Mathematical Physics

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We take a stochastically driven single-level quantum dot embedded between two metallic leads at different temperatures works as a heat engine. We numerically study the optimized efficiency at two optimum operations, which lies between the maximum and minimum efficiency. The minimum efficiency either takes the efficiency value at maximum power or the lowest possible value, zero. Using a unified criterion for energy converters, we find the optimum working condition for the heat engine. We study the optimized efficiency of a quantum dot heat engine according to the optimization criteria to find their corresponding optimized quantities in an external magnetic field (stochastic driving force). Accordingly, we found (1) efficiency-wise, optimized efficiency is better than efficiency at maximum power; (2) power-wise, the optimized power is smaller than its value at maximum power by 35 % ; and (3) period-wise, it performs the task in a cycle twice that of the period at maximum power. We study the overall performance of the heat engine by introducing a figure of merit that considers the contribution of each of the above quantities as a function of Carnot efficiency. Based on the proposed figure of merit, the model shows that the second optimization criteria are 3 times better than the first optimization criteria as a function of Carnot efficiency.

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Section: Introductionmentioning

confidence: 99%

Optimized Efficiency at Two Optimum Operations of a Stochastically Driven Quantum Dot Heat Engine

Bassie

Birhanu

Abebe

et al. 2022

Advances in Mathematical Physics

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“…Because of their potential use in high efficiency devices, the performance of QD heat engines has been studied extensively by theorists. 31,33,[115][116][117][118][119][120] QD heat engine consists of a single level quantum dot, with orbital energy ϵ, and it exchanges electrons with a cold left lead at temperature T l and chemical potential μ l , and with a hot right lead at temperature T r and chemical potential μ r (Figure 4). The quantum dot is either empty (state 1) or filled (state 2).…”

Section: Quantum Dot As a Heat Engine And Non-universality Of Empmentioning

confidence: 99%

Optimization and Efficiency Studies of Heat Engines: A Review

Aneja

2020

JoARMET

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This review aims to study the various theoretical and numerical investigations in the optimization of heat engines. The main focus is to discuss the procedures to derive the efficiency of heat engines under different operating regimes (or optimization criteria) for different models of heat engines such as endreversible models, stochastic models, low-dissipation models, quantum models etc. Both maximum power and maximum efficiency operational regimes are desirable but not economical, so to meet the thermo-ecological considerations, some other compromise-based criteria have been proposed such as Ω criterion (ecological criterion) and efficient power criterion. Thus, heat engines can be optimized to work at an efficiency which may not be the maximum (Carnot) efficiency. The optimization efficiency obtained under each criterion shows a striking universal behaviour in the near-equilibrium regime. We also discussed a multi-parameter combined objective function of heat engines. The optimization efficiency derived from the multi-parameter combined objective function includes a variety of optimization efficiencies, such as the efficiency at the maximum power, efficiency at the maximum efficiency-power state, efficiency at the maximum criterion, and Carnot efficiency. Thus, a comparison of optimization of heat engines under different criteria enables to choose the suitable one for the best performance of heat engine under different conditions.

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“…Heat engines should ideally have good performance in finite time [ 1 , 2 , 3 , 4 , 5 , 6 ], and operate stably [ 7 , 8 , 9 , 10 ] by exhibiting small fluctuations. Quantum heat engines [ 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 ] were observed to operate with novel performance beyond their classical counterparts. These devices with a limited number of freedoms are exposed to not only thermal fluctuations, but also quantum fluctuations related to discrete energy spectra [ 30 , 31 , 32 , 33 , 34 , 35 , 36 ].…”

Section: Introductionmentioning

confidence: 99%

Performance of Quantum Heat Engines Enhanced by Adiabatic Deformation of Trapping Potential

Xiao

et al. 2023

Entropy

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We present a quantum Otto engine model alternatively driven by a hot and a cold heat reservoir and consisting of two isochoric and two adiabatic strokes, where the adiabatic expansion or compression is realized by adiabatically changing the shape of the potential. Here, we show that such an adiabatic deformation may alter operation mode and enhance machine performance by increasing output work and efficiency, even with the advantage of decreasing work fluctuations. If the heat engine in the sudden limit operates under maximal power by optimizing the control parameter, the efficiency shows certain universal behavior, η*=ηC/2+ηC2/8+O(ηC3), where ηC=1−βhr/βcr is the Carnot efficiency, with βhr(βcr) being the inverse temperature of the hot (cold) reservoir. However, such efficiency under maximal power can be produced by our machine model in the regimes where the machine without adiabatic deformation can only operate as a heater or a refrigerator.

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Quantum-dot heat engines with irreversible heat transfer

Cited by 15 publications

References 52 publications

Optimized Efficiency at Two Optimum Operations of a Stochastically Driven Quantum Dot Heat Engine

Optimized Efficiency at Two Optimum Operations of a Stochastically Driven Quantum Dot Heat Engine

Optimization and Efficiency Studies of Heat Engines: A Review

Performance of Quantum Heat Engines Enhanced by Adiabatic Deformation of Trapping Potential

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