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arXiv 1111.5077cond-mat.stat-mech
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量子热机有限时间运行时的最大功率效率

Efficiency at maximum power output of quantum heat engines under finite-time operation

Jianhui Wang, Jizhou He, Zhaoqi Wu

摘要:

我们研究了在最大功率下,$η_m$,不可逆量子卡诺发动机(QCE),执行有限的时间之间的热和冷的水库温度$T_h$和$T_c$,分别循环的效率。对于可逆极限(长循环周期,零耗散)的QCE,$η_m$与卡诺效率$η_{_C}=1-\frac{T_c}{T_h}$相同。对于包括非绝热耗散和在两个涡轮上花费的时间的QCE循环,最大功率输出时的效率$η_m$从上到下分别由$\frac{η_{_C}}{2-η_{_C}}$和$\frac{η_{_C}}2$限定。在对称耗散的情况下,当粒子间的时间分配与粒子与储层的接触时间满足一定关系时,可以恢复Curzon-Ahlborn效率$η_{_{CA}}=1-\sqrt{\frac{T_c}{T_h}}$。

英文摘要:

We study the efficiency at maximum power, $η_m$, of irreversible quantum Carnot engines (QCEs) that perform finite-time cycles between a hot and a cold reservoir at temperatures $T_h$ and $T_c$, respectively. For QCEs in the reversible limit (long cycle period, zero dissipation), $η_m$ becomes identical to Carnot efficiency $η_{_C}=1-\frac{T_c}{T_h}$. For QCE cycles in which nonadiabatic dissipation and time spent on two adiabats are included, the efficiency $η_m$ at maximum power output is bounded from above by $\frac{η_{_C}}{2-η_{_C}}$ and from below by $\frac{η_{_C}}2$. In the case of symmetric dissipation, the Curzon-Ahlborn efficiency $η_{_{CA}}=1-\sqrt{\frac{T_c}{T_h}}$ is recovered under the condition that the time allocation between the adiabats and the contact time with the reservoir satisfy a certain relation.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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