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建立一种不可逆谐振子系统量子热机循环模型,基于Heisenberg表象算符运动方程和半群分析法,获得了谐振子系统中热力学第一定律和循环的时间演化公式.推导出量子热机循环的输出功、效率、输出功率和熵产率等重要性能参数的一般表达式.通过数值解,得到了在最大输出功率的条件下,热机循环中各主要性能参数的最佳优化值和优化区间.最后,简要地讨论了诸如无摩擦、高温等特殊情况下循环的性能特征.
Based on the Heisenberg equation of operator motion and semigroup analysis, the first law of thermodynamics in the resonator system and the evolution of the cycle time are obtained. The output work of the quantum thermocycle cycle is deduced. , Efficiency, output power and entropy yield and other important performance parameters of the general expression.Through the numerical solution, the best optimization value and optimization interval of the main performance parameters in the heat engine cycle under the conditions of maximum output power.Finally, Briefly discussed the performance characteristics of the cycle such as frictionless, high temperature and other special circumstances.