| 一类化学反应系统的统计性质 |
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| 引用本文： | 梅冬成,曹力,吴大进. 一类化学反应系统的统计性质[J]. 华中科技大学学报(自然科学版), 1994, 0(Z1) |
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| 作者姓名： | 梅冬成 曹力 吴大进 |
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| 作者单位： | 云南大学 |
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| 摘 要： | 研究在高斯白噪声作用下的一类化学反应：得到了该系统随机动力学方程的精确含时解，推导了系统组分ｘ（ｔ）和ｙ（ｔ）的一阶矩和二阶矩，讨论了系统的统计性质。
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| 关 键 词： | 高斯白噪声；非平衡化学反应；随机微分方程；矩；关联 |
The Statistical Properties for a Class of Chemical Reaction Systems |
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| Mei DongchemgPhys.Yunnan Univ,Kunming ,China).,Cao Li,Wu Dajin. The Statistical Properties for a Class of Chemical Reaction Systems[J]. JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE, 1994, 0(Z1) |
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| Authors: | Mei DongchemgPhys.Yunnan Univ Kunming China). Cao Li Wu Dajin |
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| Affiliation: | Mei DongchemgPhys.Yunnan Univ,Kunming 650091,China).,Cao Li,Wu Dajin |
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| Abstract: | The exact time-dependent solution of the stochastic dynamics equation for a class of uni-molecular bivariable reaction,A.driven by Gaussian white noise is investigat-ed.The first-order and second-order moments of the constituent variables x(t)and y(t)andthe corresponding stationary moments are derived,It is concluded that,for the statisticalproperties of the system,the first-order moment is not influenced by the Gaussian whitenoise;the second-order moment increases with the noise intensities Dx and Dy;and the sta-tionary correlation function decays exponentially with the time interval.The decay constantsare given. |
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| Keywords: | Gaussian white noise nonequilibrium chemical reaction stochastic differential equation moment correlation |
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