有限尺寸热库热机的最优效率
量子物理
2017-07-19 v3 统计力学
摘要
利用信息几何和强大型偏差理论，给出了热库为 粒子系统的量子（或经典）热机的最优效率。我们将最优功提取过程具体表述为热库与功存储之间保持能量的幺正时间演化。通过分别评估热库和功存储中的熵差与能量差之比，我们证明了该最优功提取过程将热库的无序能量转化为功存储的有序能量。通过比较统计力学最优效率与宏观热力学界限，我们从统计力学角度评估了有限尺寸热库下宏观热力学的准确性。此外，通过比较经典与量子最优效率，我们在不限制循环时间的情况下，评估了量子相干性对循环过程最优效率的影响。
引用
@article{arxiv.1405.6457,
title = {Optimal Efficiency of Heat Engines with Finite-Size Heat Baths},
author = {Hiroyasu Tajima and Masahito Hayashi},
journal= {arXiv preprint arXiv:1405.6457},
year = {2017}
}
备注
Main: 16pages, 3figures Appendix: 21pages The second and third versions treat essentially the same topics as the first version, and give a substantial expansion of the first version. Because the first version has problems in the formulation, we gives a new formulation for quantum and classical heat engines in arXiv:1504.06150v2. The second and third versions are based on the new formulation