论文标题
亚高斯和次指数的波动反应不平等
Sub-Gaussian and subexponential fluctuation-response inequalities
论文作者
论文摘要
引入了高斯和次指定分布，并应用于研究平衡的波动响应关系。根据其次级或次指数规范建立了任意下高斯或次指数物理量的预期值的差异。基于此，我们发现两个状态之间的熵差是这些状态的能量波动的界定。此外，我们获得了不同政权中热力学不确定性关系的广义版本。还解决了有关结果在实验环境中应用的操作问题，并且通过使用样品平均值而不是我们波动反应不平等中的预期值而产生的误差的非反应界限。
Sub-Gaussian and subexponential distributions are introduced and applied to study the fluctuation-response relation out of equilibrium. A bound on the difference in expected values of an arbitrary sub-Gaussian or subexponential physical quantity is established in terms of its sub-Gaussian or subexponential norm. Based on that, we find that the entropy difference between two states is bounded by the energy fluctuation in these states. Moreover, we obtain generalized versions of the thermodynamic uncertainty relation in different regimes. Operational issues concerning the application of our results in an experimental setting are also addressed, and nonasymptotic bounds on the errors incurred by using the sample mean instead of the expected value in our fluctuation-response inequalities are derived.
