论文标题

来自非平衡稳态的异常松弛:mpemba效应的等温类似物

Anomalous relaxation from a non-equilibrium steady state: An isothermal analog of the Mpemba effect

论文作者

Degünther, Julius, Seifert, Udo

论文摘要

MPEMBA效应表示一种异常的松弛现象,其中最初在热温下的系统比在温度较低的系统中更快冷却。我们引入了以非平衡稳态制备的系统的等温类似物,然后朝平衡放松。在这里,决定了初始非平衡稳态的驱动强度在原始版本中占据了温度的作用。作为一个范式,我们考虑了最初由一维周期电势驱动的粒子。我们表明,对于强驱动的初始状态的不对称潜在放松速度比至少在两个可能的驾驶方向之一中的一个较弱驱动的驱动率要快。这些结果首先是通过扰动理论以潜在的强度获得的,然后通过拓扑论证扩展到任意强度的潜力。

The Mpemba effect denotes an anomalous relaxation phenomenon where a system initially at a hot temperature cools faster than a system that starts at a less elevated temperature. We introduce an isothermal analog of this effect for a system prepared in a non-equilibrium steady state that then relaxes towards equilibrium. Here, the driving strength, which determines the initial non-equilibrium steady state, takes the role of the temperature in the original version. As a paradigm, we consider a particle initially driven by a non-conservative force along a one-dimensional periodic potential. We show that for an asymmetric potential relaxation from a strongly driven initial state is faster than from a more weakly driven one at least for one of the two possible directions of driving. These results are first obtained through perturbation theory in the strength of the potential and then extended to potentials of arbitrary strength through topological arguments.

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