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Performance of a quantum heat engine cycle working with harmonic oscillator systems
作者姓名:WANG JianHui  HE JiZhou & MAO ZhiYuan
作者单位:WANG JianHui,HE JiZhou & MAO ZhiYuan Department of Physics,Nanchang University,Nanchang 330047,China
基金项目:国家自然科学基金;江西省自然科学基金
摘    要:A cycle model of an irreversible heat engine working with harmonic systems is established in this paper. Based on the equation of motion of an operator in the Heisenberg picture and semi-group approach, the first law of thermodynamics for a harmonic system and the time evolution of the system are obtained. The general expressions for several important parameters, such as the work, efficiency, power output, and rate of entropy production are derived. By means of numerical analysis, the optimally operating regions and the optimal values of performance parameters of the cycle are determined under the condition of maximum power output. At last, some special cases, such as high temperature limit and frictionless case, are dis-cussed in brief.

收稿时间:31 October 2005
修稿时间:21 September 2006

Performance of a quantum heat engine cycle working with harmonic oscillator systems
WANG JianHui,HE JiZhou & MAO ZhiYuan.Performance of a quantum heat engine cycle working with harmonic oscillator systems[J].Science in China(Physics Astronomy),2007,50(2):163-176.
Authors:WANG JianHui  HE JiZhou  MAO ZhiYuan
Institution:Department of Physics,Nanchang University,Nanchang 330047,China
Abstract:A cycle model of an irreversible heat engine working with harmonic systems is established in this paper.Based on the equation of motion of an operator in the Heisenberg picture and semi-group approach,the first law of thermodynamics for a harmonic system and the time evolution of the system are obtained.The general expressions for several important parameters,such as the work,efficiency,power output,and rate of entropy production are derived.By means of numerical analysis,the optimally operating regions and the optimal values of performance parameters of the cycle are determined under the condition of maximum power output.At last,some special cases,such as high temperature limit and frictionless case,are dis-cussed in brief.
Keywords:harmonic systems  heat engine cycle  irreversible thermodynamics  performance optimization
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