Geometric bounds on the power of adiabatic thermal machines.
Geometric bounds on the power of adiabatic thermal machines.
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DOI：
10.1103/physreve.105.l052102
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发表时间：
2022-02
期刊：
影响因子：
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通讯作者：
Joshua Eglinton;K. Brandner
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文献类型：
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作者：
Joshua Eglinton;K. Brandner
我们分析了缓慢驱动的中尺度和微尺度制冷机和热机的性能，这些制冷机和热机在两个温差很小的热浴之间运行。使用一般的缩放参数，我们表明，这样的设备可以任意接近他们的卡诺极限，只有当浴之间的热泄漏被完全抑制。然后，它们的功率输出受到一个普遍的几何约束，在卡诺极限下二次衰减到零。如果适当地优化驱动方案并且浴槽之间的温差随着驱动频率而趋于零，则该界限可以在准静态极限中渐近饱和。这些结果在一般的条件下，允许一个定义良好的绝热反应制度和广义Onsager对称性的任何物理一致的动力学。为了说明，我们制定了量子位冰箱和作为冷却设备的相干电荷泵的模型。
We analyze the performance of slowly driven meso- and microscale refrigerators and heat engines that operate between two thermal baths with a small temperature difference. Using a general scaling argument, we show that such devices can work arbitrarily close to their Carnot limit only if heat leaks between the baths are fully suppressed. Their power output is then subject to a universal geometric bound that decays quadratically to zero at the Carnot limit. This bound can be asymptotically saturated in the quasistatic limit if the driving protocols are suitably optimized and the temperature difference between the baths goes to zero with the driving frequency. These results hold under generic conditions for any thermodynamically consistent dynamics admitting a well-defined adiabatic-response regime and a generalized Onsager symmetry. For illustration, we work out models of a qubit-refrigerator and a coherent charge pump operating as a cooling device.