带电阻的简化量子点制冷机模型最大制冷功率时的性能系数
Coefficient of performance at maximum cooling power of a simplified quantum dot refrigerator model with resistance
摘要：
在不考虑电子自旋和库仑相互作用的情况下，研究了单能级量子点（QD）制冷机的简化解析模型。基于量子点上两个储层之间电子的弹道输运，系统的焦耳热被认为是由量子点和储层之间的欧姆接触产生的。通过使用跃迁速率方程，研究了量子点制冷机的性能与电子传输概率和分配比（即，在系统中产生的焦耳热释放到蓄冷器中的部分）。在不可逆工况下，得到了最大性能系数的解析表达式。量子点系统在最大冷却功率下的卡诺约束相关的性能系数也被数值证明。本文的研究结果对介观制冷机的设计具有一定的指导意义。
英文摘要：
A simplified analytical model of single-level quantum dot (QD) refrigerator was studied without considering the electron spin and Coulomb interaction. Based on the ballistic transport of electrons between two reservoirs across the QD, the Joule heat of the system was assumed to be generated from the Ohmic contacts between the QD and reservoirs. By using the transition rate equation, the performance of the QD refrigerator was studied with respect to the electron transmission probability and the partition ratio (i.e., the fraction of Joule heat generated in the system that releases into the cold reservoir). The analytical expression of the maximum coefficient of performance was obtained under the exoreversible working condition. The Carnot-bound-dependent coefficient of performance at maximum cooling power of the QD system was also demonstrated numerically. The results of this work may provide some guidance for the design of mesoscopic refrigerators.
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。
