Lacoste David, Lomholt Michael A
Laboratoire de Physico-Chimie Théorique - UMR CNRS Gulliver 7083, PSL Research University, ESPCI, 10 rue Vauquelin, F-75231 Paris, France.
MEMPHYS-Center for Biomembrane Physics, Department of Physics, Chemistry and Pharmacy, University of Southern Denmark, Campusvej 55, 5230 Odense M, Denmark.
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Feb;91(2):022114. doi: 10.1103/PhysRevE.91.022114. Epub 2015 Feb 11.
We study the stochastic thermodynamics of an overdamped harmonic chain, which can be viewed equivalently as a one-dimensional Rouse chain or as an approximate model of single file diffusion. We discuss mainly two levels of description of this system: the Markovian level for which the trajectories of all the particles of the chain are known and the non-Markovian level in which only the motion of a tagged particle is available. For each case, we analyze the energy dissipation and its dependence on initial conditions. Surprisingly, we find that the average coarse-grained entropy production rate can become transiently negative when an oscillating force is applied to the tagged particle. This occurs due to memory effects as shown in a framework based on path integrals or on a generalized Langevin equation.
我们研究了过阻尼谐振链的随机热力学，它可以等效地看作一维劳厄链或单文件扩散的近似模型。我们主要讨论了该系统的两个描述层次：马尔可夫层次，其中链中所有粒子的轨迹是已知的；非马尔可夫层次，其中仅可获得标记粒子的运动。对于每种情况，我们分析了能量耗散及其对初始条件的依赖性。令人惊讶的是，我们发现当对标记粒子施加振荡力时，平均粗粒化熵产生率可能会瞬间变为负值。这是由于基于路径积分或广义朗之万方程的框架中所示的记忆效应所致。
