摘要
通过分析噪声对跃迁概率的不同影响，借助Novikov定理及MSR理论，建立了受多源白噪声影响的有限化学反应体系的有效主方程及有效熵平衡方程，导出非平衡定态时这类噪声体系熵产生的一般表达式，揭示涨落熵产生的统计内涵及噪声贡献，并针对非宏观量级的外噪声，借助扰动按分布参数分离法及有效主方程的Kramers－Moyal展开，进一步对简单加合性噪声建立了非平衡定态宏观稳定性判据的随机模拟，论证了噪声对化学反应体系定态稳定性的弱化作用．
By using Novikov's Law and MSR theorem, both the effective master equation and effective entropy balance equation, generally valid for finite chemical reaction systems influenced by Gaussian white noises, have been established. It is shown that there are three kinds of conjugated stochastic forces and fluxes. A general expression of effective entropy production explicitly involving the contributions from both the internal fluctuations and the external noises is deduced. Furthermore, for the case of the non-macroscopic order noises,by means of the Kramers-Moyal expansion of the effective master equation, a stochastic formalism simulating the macroscopic stability criterion of nonequilibrium steady states in finite chemical reaction systems influenced by white noises is also established, and then an illustration quoting the simple case with additive noises shows the weakening effect of the external noises to the stability of chemical reaction systems.
出处
《高等学校化学学报》
SCIE
EI
CAS
CSCD
北大核心
1998年第1期86-93,共8页
Chemical Journal of Chinese Universities
基金
国家自然科学基金!29273118
关键词
高斯白噪声
外噪声
化学反应
有效熵平衡方程
Gaussian white noises
Effective master equation
Average probability distribution
Effective entropy balance equation
Kramers-Moyal expansion
