Effects of critical fluctuations to stochastic thermodynamic behavior of chemical reaction systems at steady state far from equilibrium
Effects of critical fluctuations to stochastic thermodynamic behavior of chemical reaction systems at steady state far from equilibrium
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DOI：
10.1039/b201564c
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发表时间：
2002-08
影响因子：
3.3
通讯作者：
Jiuli Luo;N. Zhao;Bambi Hu
中科院分区：
文献类型：
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作者：
Jiuli Luo;N. Zhao;Bambi Hu
我们将化学反应系统的随机热力学推广到包括临界区。本文提出了一种适用于展宽指数为α=3/4的非平衡定态涨落的随机熵产生的显式理论。结果表明，这种临界涨落对熵产生的贡献趋于V−1/2量级(其中V是系统的体积)，主要由两部分组成，分别是由于分布偏离泊松行为和中心极限定理。此外，还发现由内部涨落引起的二阶超额熵产生的随机平均值与临界涨落的熵产生有关。在这种分布状态下，可以通过对涨落行为的一般分析来检测稳态化学反应体系的宏观稳定性。
We extend the stochastic thermodynamics of chemical reaction systems to include the critical regime. An explicit theory of stochastic entropy production valid for the fluctuations around non-equilibrium steady state with broadening exponent α = 3/4 is presented in this paper. It is shown that the contribution of this critical fluctuations to entropy production tends to the order of V−1/2 (where V is the volume of the system), mainly consisting of two parts due respectively to the deviations of the distribution from Poissonian behavior and the central limit theorem. Furthermore, it is found that the stochastic average of 2nd order excess entropy production due to internal fluctuations is linked to the entropy production of the critical fluctuations. In this regime of the distribution it is possible to detect the macroscopic stability of chemical reaction systems at steady state by means of a general analysis of the fluctuation behaviour.