论文标题

热力学边界,用于在具有多个时间尺度的非平衡系统中扩散

Thermodynamic bounds for diffusion in non-equilibrium systems with multiple timescales

论文作者

Plati, Andrea, Puglisi, Andrea, Sarracino, Alessandro

论文摘要

我们得出了一个热力学不确定性关系,界定了高斯过程的平均平方位移,并通过不平衡的热浴和/或外力驱动。我们的界限在以前的结果方面更加紧密,并且在有限的时间也保持不变。我们将发现应用于实验和数值数据的多体相互作用的颗粒流体,其特征是异常扩散方案。在某些情况下,我们的关系可以区分平衡和非平衡行为,即非平凡的推理任务,尤其是对于高斯过程。

We derive a Thermodynamic Uncertainty Relation bounding the mean squared displacement of a Gaussian process with memory, driven out of equilibrium by unbalanced thermal baths and/or by external forces. Our bound is tighter with respect to previous results and also holds at finite time. We apply our findings to experimental and numerical data for a many-body interacting granular fluid, characterized by regimes of anomalous diffusion. In some cases, our relation can distinguish between equilibrium and non-equilibrium behavior, a non-trivial inference task, particularly for Gaussian processes.

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