论文标题
来自详细波动定理的热力学偏度关系
Thermodynamic Skewness Relation From Detailed Fluctuation Theorem
论文作者
论文摘要
详细的波动定理（DFT）是熵产生统计中不对称的陈述。 DFT的后果是热力学的第二定律和热力学不确定性关系（TUR），分别转化为电流的平均值和差异。但是，远非平衡，平均方差不足以表征熵产生的基本分布。波动不一定是高斯（也不是对称），这意味着其偏度可能不是零。我们证明，DFT施加了熵产生的偏度的负面下限，这是平均值的函数。作为应用，我们检查了两个由量子交换发动机介导的热储层之间的热交换问题中的界限。
The detailed fluctuation theorem (DFT) is a statement about the asymmetry in the statistics of the entropy production. Consequences of the DFT are the second law of thermodynamics and the thermodynamics uncertainty relation (TUR), which translate into lower bounds for the mean and variance of currents, respectively. However, far from equilibrium, mean and variance are not enough to characterize the underlying distribution of the entropy production. The fluctuations are not necessarily Gaussian (nor symmetric), which means its skewness could be nonzero. We prove that the DFT imposes a negative tight lower bound for the skewness of the entropy production as a function of the mean. As application, we check the bound in the heat exchange problem between two thermal reservoirs mediated by a qubit swap engine.
