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Universal Expression of Efficiency at Maximum Power: A Quantum-Mechanical Brayton Engine Working with a Single Particle Confined in a Power-Law Trap
Authors:YE Zhuo-Lin  LI Wei-Sheng  LAI Yi-Ming  HE Ji-Zhou  WANG Jian-Hui
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
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.
Keywords:quantum-mechanical Brayton engine  universal expression  efficiency at maximum power  
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