论文标题
具有记忆的系统的热力学不确定性关系
A thermodynamic uncertainty relation for a system with memory
论文作者
论文摘要
我们介绍了一个由一维广义Langevin动力学建模的系统的热力学不确定性关系（TUR）的示例，并确定了在复杂流体中驱动的微珠的运动。与前几年通常讨论的TUR相反，我们的可观察力和熵的生产率是一次性变量。仅在某些情况下，才能将这种状态依赖性可观察物的信噪比绑定到熵生产率。例如，在马尔可夫系统中确实如此。因此，系统中记忆的存在使不确定性关系的热力学解释变得复杂。
We introduce an example of thermodynamic uncertainty relation (TUR) for systems modeled by a one-dimensional generalised Langevin dynamics with memory, determining the motion of a micro-bead driven in a complex fluid. Contrary to TURs typically discussed in the previous years, our observables and the entropy production rate are one-time variables. The bound to the signal-to-noise ratio of such state-dependent observables only in some cases can be mapped to the entropy production rate. For example, this is true in Markovian systems. Hence, the presence of memory in the system complicates the thermodynamic interpretation of the uncertainty relation.
