论文标题
有限时间奥托循环的量子性和热力学不确定性关系
Quantumness and thermodynamic uncertainty relation of finite-time Otto cycle
论文作者
论文摘要
为了揭示量子性在OTTO循环中的作用，并讨论了热力学不确定性关系（TUR）在周期中的有效性，我们研究了量子Otto循环及其经典对应物。特别是，我们准确计算热力学量的平均值和相对误差。在绝对极限中，与没有量子性相比，量子性降低了奥托循环的生产率和精度，而在有限的时间模式下，它可以提高周期的生产率和精度。有趣的是，随着系统和浴缸之间的强度（热电导）的增加，量子奥托循环的精度超过了经典循环的精度。在熵产生足够大的区域测试Otto循环的常规TUR，我们发现比常规TUR的结合更紧密。但是，在有限的时间模式下，量子和经典的奥托周期都违反了熵产生的区域的常规TUR。这意味着需要另一个修改的TUR来覆盖有限的OTTO周期。最后，我们根据热力学量的不确定性产物以及在共振条件附近的相对误差来讨论这种违规的可能起源。
To reveal the role of the quantumness in the Otto cycle and to discuss the validity of the thermodynamic uncertainty relation (TUR) in the cycle, we study the quantum Otto cycle and its classical counterpart. In particular, we calculate exactly the mean values and relative error of thermodynamic quantities. In the quasistatic limit, quantumness reduces the productivity and precision of the Otto cycle compared to that in the absence of quantumness, whereas in the finite-time mode, it can increase the cycle's productivity and precision. Interestingly, as the strength (heat conductance) between the system and the bath increases, the precision of the quantum Otto cycle overtakes that of the classical one. Testing the conventional TUR of the Otto cycle, in the region where the entropy production is large enough, we find a tighter bound than that of the conventional TUR. However, in the finite-time mode, both quantum and classical Otto cycles violate the conventional TUR in the region where the entropy production is small. This implies that another modified TUR is required to cover the finite-time Otto cycle. Finally, we discuss the possible origin of this violation in terms of the uncertainty products of the thermodynamic quantities and the relative error near resonance conditions.
