论文标题
通过缩放时间来使Langevin动力学的热力学不确定性关系
Thermodynamic uncertainty relation for Langevin dynamics by scaling time
论文作者
论文摘要
热力学不确定性关系（TUR）量化了当前波动与平衡性过平衡过度降低的Langevin动力学之间的关系，这使其自然是平衡统计机制中波动降低定理的自然对应物。对于阻尼不足的Langevin动力学，已知这种情况更为复杂，动力学活动在限制当前波动的幅度方面发挥了作用。那些类似tur的tur的界限的进展很大程度上来自信息理论Cramér-Rao不平等的应用。在这里，我们通过采用大偏差理论提出了另一种观点。该方法为过度阻尼和阻尼不足的兰格文动力学提供了一般统一的统一处理，这是基于通过缩放时间实现的当前波动而构建的。我们遵循这种方法得出的界限类似于已知结果，但我们讨论并合理化了差异。
The thermodynamic uncertainty relation (TUR) quantifies a relationship between current fluctuations and dissipation in out-of-equilibrium overdamped Langevin dynamics, making it a natural counterpart of the fluctuation-dissipation theorem in equilibrium statistical mechanics. For underdamped Langevin dynamics, the situation is known to be more complicated, with dynamical activity also playing a role in limiting the magnitude of current fluctuations. Progress on those underdamped TUR-like bounds has largely come from applications of the information-theoretic Cramér-Rao inequality. Here, we present an alternative perspective by employing large deviation theory. The approach offers a general, unified treatment of TUR-like bounds for both overdamped and underdamped Langevin dynamics built upon current fluctuations achieved by scaling time. The bounds we derive following this approach are similar to known results but with differences we discuss and rationalize.
