Entropy and entropy production of finite chemical reaction systems influenced by Gaussian noise
Entropy and entropy production of finite chemical reaction systems influenced by Gaussian noise
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DOI：
10.1063/1.1363676
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发表时间：
2001-04
影响因子：
4.4
通讯作者：
N. Zhao;Jiuli Luo
中科院分区：
文献类型：
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作者：
N. Zhao;Jiuli Luo
在本文中，我们提出了一种随机形式来揭示受高斯噪声影响的有限化学反应系统的熵和熵产生的细观统计意义。作为香农熵的扩展，引入了广义随机熵，而不会丢失此类系统中共存的内部和外部波动的任何信息。获得了对于受高斯白噪声影响的稳态有效的熵产生的显式表达式。事实证明，噪声对波动熵产生的贡献是由于它加剧了有效概率行为与泊松分布和中心极限定理的偏差。同时，如果噪声是乘性的，吉布斯熵产生的重大转变是不可避免的。最后，作为高斯有色噪声的说明，还讨论了 Ornstein-Uhlenbeck 噪声对熵产生的影响......
In this paper we present a stochastic formalism to reveal the meso-statistical significance of the entropy and entropy production of finite chemical reaction systems influenced by the Gaussian noise. As an extension of Shanon entropy a generalized stochastic entropy is introduced without missing any information from both internal and external fluctuations coexisting in this kind of system. An explicit expression of the entropy production valid for the steady state affected by the Gaussian white noise has been obtained. It turns out that the contributions of noise to entropy production of the fluctuations are due to the effect that it intensifies the deviations of the effective probability behavior from the Poisson distribution and the central limit theorem. Meanwhile, a nontrivial shift of the Gibbs’ entropy production is inevitable if the noise is multiplicative. Finally, as an illustration of the Gaussian colored noise, the influence of the Ornstein–Uhlenbeck noise to entropy production is also discusse...