论文标题
直接通往热力学不确定性关系及其饱和的途径
Direct Route to Thermodynamic Uncertainty Relations and Their Saturation
论文作者
论文摘要
热力学不确定性关系（TURS）通过观察到的电流的波动与非平衡系统中的耗散结合。与现有证明中使用的精心设计的技术对比，我们在这里直接证明了turs turs the langevin方程。这将TUR确定为运动的固有特性。此外，我们将瞬态TUR扩展到具有显式时间依赖性的电流和密度。此外，通过包括电流密度相关性，我们为瞬态动力学提供了新的锐化TUR。我们可以说，我们最简单，最直接的证明以及新的概括使我们能够系统地确定不同的TUR饱和的条件，从而可以进行更准确的热力学推断。最后，我们还概述了马尔可夫跳跃动力学的直接证明。
Thermodynamic uncertainty relations (TURs) bound the dissipation in non-equilibrium systems from below by fluctuations of an observed current. Contrasting the elaborate techniques employed in existing proofs, we here prove TURs directly from the Langevin equation. This establishes the TUR as an inherent property of overdamped stochastic equations of motion. In addition, we extend the transient TUR to currents and densities with explicit time-dependence. By including current-density correlations we, moreover, derive a new sharpened TUR for transient dynamics. Our arguably simplest and most direct proof, together with the new generalizations, allows us to systematically determine conditions under which the different TURs saturate and thus allows for a more accurate thermodynamic inference. Finally we outline the direct proof also for Markov jump dynamics.
