论文标题
随机动力学中的统计不确定性原理
Statistical Uncertainty Principle in Stochastic Dynamics
论文作者
论文摘要
最大熵原理确定了与可观察物的结合的力以及它们之间的热力学关系，独立于其潜在的机械细节。对于有关状态分布或过渡统计的数据，该原理可以从无限数据采样的限制定理得出。该推导揭示了其经验起源，并阐明了将其应用于大型但有限数据的含义。我们得出了观察力和推断力的统计变化的不确定性原理。我们将玩具模型用于分子电机。
Maximum entropy principle identifies forces conjugated to observables and the thermodynamic relations between them, independent upon their underlying mechanistic details. For data about state distributions or transition statistics, the principle can be derived from limit theorems of infinite data sampling. This derivation reveals its empirical origin and clarify the meaning of applying it to large but finite data. We derive an uncertainty principle for the statistical variations of the observables and the inferred forces. We use a toy model for molecular motor as an example.
