论文标题

分析非平衡稳态之间有限缓慢过程中的熵产生

Analysis of entropy production in finitely slow processes between nonequilibrium steady states

论文作者

Matsuo, Toshihiro, Sonoda, Akihiko

论文摘要

我们使用Takahashi,Fujii,Hino和Hayakawa提出的改进的绝热近似方法研究了马尔可夫跳跃过程中非平衡稳态之间有限缓慢过渡的熵产生[1]。该方法可系统地改进绝热近似在无限缓慢的转变上,我们从中获得了非绝热校正,并与缓慢的驾驶扰动有着密切的关系[2,3]。我们将两种类型的Sagawa和Hayakawa [4]和Hatano和Sasa [5]的过剩熵产生为示例,并确认领先的绝热贡献会重现已知结果,然后获得以协议参数空间定义的热力学指标编写的非绝热校正。我们还在数值上研究了两国系统中产生的熵产生。

We investigate entropy production in finitely slow transitions between nonequilibrium steady states in Markov jump processes using the improved adiabatic approximation method proposed by Takahashi, Fujii, Hino and Hayakawa [1]. This method provides systematic improvement of the adiabatic approximation on infinitely slow transitions from which we obtain nonadiabatic corrections and has a close relationship with the slow driving perturbation [2, 3]. We analyze two types of excess entropy production of Sagawa and Hayakawa [4] and Hatano and Sasa [5] as examples, and confirm that the leading adiabatic contribution reproduces the known results, and then obtain nonadiabatic corrections written in terms of thermodynamic metrics defined in protocol parameter spaces. We also numerically study the resulting excess entropy production in a two-state system.

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