| 系统消去中表征系统随机性的量Z_t~(v)的处理 |
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| 引用本文： | 司书义,曹力,吴大进.系统消去中表征系统随机性的量Z_t~(v)的处理[J].华中科技大学学报(自然科学版),1992(1). |
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| 作者姓名： | 司书义 曹力 吴大进 |
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| 作者单位： | 华中理工大学物理系
(司书义，曹力)，华中理工大学物理系(吴大进) |
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| 摘 要： | 本文运用系统消去快变量的方法导出了简化单模激光模型的Ito和Strato-novich形式的序参量方程;证明了两者的等价性;比较了由系统消去、系统绝热消去及通常绝热消去快变量三者所导出的序参量方程;推导了相应的福克-普朗克方程,求出了定态几率分布并确定了几率极值的位置.
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| 关 键 词： | 激光模型 序参量 快变量 福克-普朗克方程 定态几率分布 |
On the Treatment of z_t~(y) Characterizing the Randomness of System in the Elimination of Fast Variable |
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| Shi Shuyi Cao Li Wu Dajin.On the Treatment of z_t~(y) Characterizing the Randomness of System in the Elimination of Fast Variable[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1992(1). |
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| Authors: | Shi Shuyi Cao Li Wu Dajin |
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| Institution: | Shi Shuyi Cao Li Wu Dajin |
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| Abstract: | By using the systematic method of the elimination of fast variable, the equations of order parameter for the simplified single-mode laser model are derived in both Ito and Stratonovich forms. The equivalence of the two forms is proved. The equation of order parameter obtained by the systematic elimination, systematic adiabatic elimination and conventional adiabatic elimination are compared. The corresponding Fokker-Planck e-quation is derived and the stationary random distribution has been obtained and the positions of the extremum for the distribution are determined. |
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| Keywords: | laser modele order parameter fast variable Fokker-Planck equation stationary random distribution |
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