Department of Physics, Friedrich-Alexander-Universität Erlangen-Nürnberg, D-91058 Erlangen, Germany.
Department of Physics, Graduate School of Science, Kyoto University, Kyoto 606-8502, Japan.
Phys Rev E. 2018 Feb;97(2-1):022131. doi: 10.1103/PhysRevE.97.022131.
We investigate the occurrence of heat leakages in overdamped nonequilibrium Brownian harmonic systems. We exactly compute the underdamped and overdamped stochastic heats exchanged with the bath for a sudden frequency or temperature switch. We show that the underdamped heat reduces to the corresponding overdamped expression in the limit of large friction for the isothermal process. However, we establish that this is not the case for the isochoric transformation. We microscopically derive the additionally generated heat leakage and relate its origin to the initial relaxation of the velocity of the system. Our results highlight the limitations of the overdamped approximation for the evaluation of the stochastic heat in systems with changing bath temperature.
我们研究了过阻尼非平衡布朗谐振子系统中热泄漏的发生。我们精确计算了在突然的频率或温度切换下与浴槽交换的欠阻尼和过阻尼随机热。我们表明，对于等温过程，在较大摩擦的极限下，欠阻尼热会简化为相应的过阻尼表达式。然而，我们确定对于等容变换，情况并非如此。我们从微观上推导出额外产生的热泄漏，并将其起源与系统速度的初始弛豫联系起来。我们的结果强调了在评估随浴温变化的系统中的随机热时，过阻尼近似的局限性。
