Quantum Brayton Engine of Non-Interacting Fermions in a One Dimensional Box

Singh, Satnam

doi:10.1007/s10773-020-04549-3

Cited by 12 publications

(11 citation statements)

References 56 publications

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“…The goal of finite-time thermodynamics is finding the optimal performance of thermal machines when these limitations are taken into account as well as devising ways to improve on it [8][9][10][11]. One is usually interested in optimizing the power output of a heat engine and its corresponding efficiency [12][13][14][15][16][17][18][19][20][21][22][23], whereas, for a refrigerator, the most desirable figure of merit is cooling * varinder@ibs.re.kr power [11,[24][25][26]. A well-known observation that the thermal engines operating at maximum power also dissipate a large amount of power due to entropy production, which ultimately pollutes the environment [7,27,28].…”

Section: Introductionmentioning

confidence: 99%

Unified trade-off optimization of quantum harmonic Otto engine and refrigerator

Singh,

Abah

et al. 2021

Preprint

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We investigate quantum Otto engine and refrigeration cycles of a time-dependent harmonic oscillator operating under the conditions of maximum Ω-function, a trade-off objective function which represents a compromise between energy benefits and losses for a specific job, for both adiabatic and nonadiabatic (sudden) frequency modulations. We derive analytical expressions for the efficiency and coefficient of performance of the Otto cycle. For the case of adiabatic driving, we point out that in the low-temperature regime, the harmonic Otto engine (refrigerator) can be mapped to Feynman's ratchet and pawl model which is a steady state classical heat engine. For the sudden switch of frequencies, we obtain loop-like behavior of the efficiency-work curve, which is characteristic of irreversible heat engines. Finally, we discuss the behavior of cooling power at maximum Ω-function and indicate the optimal operational point of the refrigerator.

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Section: Introductionmentioning

confidence: 99%

Unified trade-off optimization of quantum harmonic Otto engine and refrigerator

Singh,

Abah

et al. 2021

Preprint

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“…Singh [49] presented a quantum Brayton heat engine with noninteracting fermions in one dimensional box model. The efficiency and irreversibility of engine have not affected by the number of the fermions in system.…”

Section: Introductionmentioning

confidence: 99%

“…As the result, the change of work of this process will become zero and the internal energy of the engine will only be affected of the heat injected from the hot reservoir, dU = dQ ≈ Q in . At the beginning of this process, one of which Fermion particles will nest at ground state and another one is at the first excited level and so on, because these particles should obey Pauli's exclusion principle [41,49,51]. We call these states as the initial states of the non-interacting fermions,…”

Section: Introductionmentioning

confidence: 99%

Optimizations of Multilevel Quantum Heat Engine with N Noninteracting Fermions Based on Lenoir Cycle

Ade¹,

Sutantyo²,

Abdullah³

2021

Preprint

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We consider optimizations of Lenoir heat engine within a quantum dynamical field consisting of N noninteracting fermions trapped in multilevel infinite potential square-well. Fermions play role as working substance of the engine with each particle nested at different level of energy. We optimized this quantum heat engine model by analysing the physical parameter and deriving the optimum properties of the engine model. The model we investigated consists of one high-energy heat bath and one low-energy sink bath. Heat leakage occurs between these two bathes as expected will degenerate the efficiency of quantum heat engine model. The degeneration increased as we raised the constant parameter of heat leakage. We also obtained loop curves in dimensionless power vs. efficiency of the engine, which efficiency is explicitly affected by heat leakage, but in contrast for the power output. From the curves, we assured that the efficiency of the engine would go back to zero as we raised compression ratio of engine with leakage. Lastly, we checked Clausius relations for each model with various levels of heat leakage. We found that models with leakage have a reversible process on specific compression ratios for each variation of heat leakage. Nevertheless, the compression ratio has limitations because of the dQ/E > 0 after the reversible point, i.e. violates the Clausius relation.

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“…In a classical system, the system absorbed thermal energy from the high-temperature bath and out of the system towards a low-temperature bath. Research on the efficiency of the quantum Brayton engine has been carried out using a 1-dimensional potential well system [6,8,15]. However, research on quantum heat engines using a 3-dimensional system was just being carried out by Sutantyo et al [16] and Saputra [17].…”

Section: Introductionmentioning

confidence: 99%

Quantum-Mechanical Brayton Engine for the Nonrelativistic Particle Trapped in a Symmetric Potential Box

Abdillah

Saputra

2020

Positron

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A theoretical quantum Brayton engine research has been carried out using a potential box system to increase its thermal efficiency. The method applied in this research is a classical thermodynamics system model in the form of a piston tube containing a monatomic ideal gas analogous to a quantum model in the form of a potential box containing one particle. The efficiency formulation of the quantum Brayton engine obtained from this study is following the classical version. However, the efficiency value obtained on a quantum Brayton engine is higher when compared to its classic. It happens because the value of the Laplace constant owned by the Brayton quantum version is 3, while the classic version is 5/3.

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Quantum Brayton Engine of Non-Interacting Fermions in a One Dimensional Box

Cited by 12 publications

References 56 publications

Unified trade-off optimization of quantum harmonic Otto engine and refrigerator

Unified trade-off optimization of quantum harmonic Otto engine and refrigerator

Optimizations of Multilevel Quantum Heat Engine with N Noninteracting Fermions Based on Lenoir Cycle

Quantum-Mechanical Brayton Engine for the Nonrelativistic Particle Trapped in a Symmetric Potential Box

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