Effective Langevin equations leading to large deviation function of time-averaged velocity for a nonequilibrium Rayleigh piston
Effective Langevin equations leading to large deviation function of time-averaged velocity for a nonequilibrium Rayleigh piston
复制标题
有效的朗之万方程导致非平衡瑞利活塞时均速度的大偏差函数
DOI：
10.1103/physreve.103.022125
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发表时间：
2021
影响因子：
2.4
通讯作者：
Sasa Shin-ichi
中科院分区：
文献类型：
--
作者：
Itami Masato;Nakayama Yohei;Nakagawa Naoko;Sasa Shin-ichi
我们研究了一个自由活动活塞的波动动力学，它将一个无限大的圆柱体分成两个充满相同压力但不同温度的理想气体粒子的区域。为了研究活塞在长时间极限时平均速度的统计性质，我们对时平均速度的大偏差函数进行了微扰计算。然后，我们推导出无限数量的有效朗之万方程，它们产生与原始模型中相同的大偏差函数。最后，我们提供了两种唯一确定有效模型形式的可能性。
We study fluctuating dynamics of a freely movable piston that separates an infinite cylinder into two regions filled with ideal gas particles at the same pressure but different temperatures. To investigate statistical properties of the time-averaged velocity of the piston in the long-time limit, we perturbatively calculate the large deviation function of the time-averaged velocity. Then, we derive an infinite number of effective Langevin equations yielding the same large deviation function as in the original model. Finally, we provide two possibilities for uniquely determining the form of the effective model.