| 用矩方程法研究外噪音对宏观态的影响 |
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| 引用本文： | 陈艾平,李述华. 用矩方程法研究外噪音对宏观态的影响[J]. 福建师范大学学报(自然科学版), 1990, 0(1) |
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| 作者姓名： | 陈艾平 李述华 |
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| 作者单位： | 福建师范大学物理系，福建师范大学物理系 |
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| 摘 要： | 本文用求解矩方程的方法研究外噪音驱动的系统的随机行为。在小涨落的条件下推导出同这种系统的FPE对应的闭合的矩方程组,阐述了使用这种方法的计算法则,并用此法详细研究了几种常见的模型系统。
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| 关 键 词： | 外噪音 宏观态 随机微分方程 Fokker-planck方程 矩方程 涨落 定态 |
Study on the Influences of External Noises on the Macroscopic State of a Dynamical System by the Method of Moment Equations |
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| Chen Aiping Li Shuhua. Study on the Influences of External Noises on the Macroscopic State of a Dynamical System by the Method of Moment Equations[J]. Journal of Fujian Teachers University(Natural Science), 1990, 0(1) |
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| Authors: | Chen Aiping Li Shuhua |
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| Affiliation: | Department of Physics |
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| Abstract: | In this paper, the method of moment equations is used to deal with the behavior of the systems driven by external noises. We deduced the set of closed moment equations correspond to the FPE of the systems driven by external noise at the situation of small fluctuation. By this closed moment equations, the first moments and the variances of fluctuations of the state variables can be solved easily.Some rules of calculation of this method have been sumarized and some models have been studied in detail by this method. All results show that this method is very useful and effective for studying relevant problems. |
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| Keywords: | external noise macroscopic state stochastic differential eguation Fokker-planck equation moment equation stationary state fluctuation |
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