Universal Expression of Efficiency at Maximum Power: A Quantum-Mechanical Brayton Engine Working with a Single Particle Confined in a Power-Law Trap |
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Authors: | YE Zhuo-Lin LI Wei-Sheng LAI Yi-Ming HE Ji-Zhou WANG Jian-Hui |
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Affiliation: | 1.Department of Physics, Nanchang University, Nanchang 330031, China;2.State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China |
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Abstract: | We propose a quantum-mechanical Brayton engine model that works between two superposed states, employing a single particle confined in an arbitrary power-law trap as the working substance. Applying the superposition principle, we obtain the explicit expressions of the power and efficiency, and find that the efficiency at maximum power is bounded from above by the function:η+ =θ/(θ+ 1), with being a potential-dependent exponent. |
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Keywords: | quantum-mechanical Brayton engine universal expression efficiency at maximum power |
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