| 非线性OU色噪声诱导相变理论 |
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| 引用本文： | 张纪岳 周沧涛. 非线性OU色噪声诱导相变理论[J]. 西北大学学报(自然科学版), 1989, 19(4): 33-42 |
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| 作者姓名： | 张纪岳 周沧涛 |
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| 作者单位： | 西北大学物理系，西北大学物理系 |
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| 摘 要： | 本文利用Altares和Nicolis分析线性OU色噪声的方法,从二维FPE出发,利用WKB法详细分析了非线性OU色噪声在其噪声强度足够小时对非平衡相变行为的影响,得到了定态几率密度和噪声诱导定态分支点漂移的最可几表达式。此外对于具体模型,讨论了噪声相关时间趋于零时的白噪声极限情况,并将有关结果与San Miguel和Sancho及Altares和Nicolis的结果进行了比较。
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| 关 键 词： | 非线性系统 噪声 福克-普朗克方程 几率密度 |
Theory of the Nonlinear Ornstein-Uhlenbeck Colored Noise Induced Transitions |
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| Zhang Jiyue,Zhou Cangtao. Theory of the Nonlinear Ornstein-Uhlenbeck Colored Noise Induced Transitions[J]. Journal of Northwest University(Natural Science Edition), 1989, 19(4): 33-42 |
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| Authors: | Zhang Jiyue Zhou Cangtao |
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| Affiliation: | Department of Physics |
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| Abstract: | The influence of the nonlinear OU weak colored noise on the nonequilibrium transitions is investigated by making use of the method that Altares and Nicolis are used for analysing linear OU solutions to the bivarite Fokker-Planck-Equation ( FPE). We obtain the expression of the stationary probability density and of the shift of the most probable value induced by colored noise. As for some models concerned, the white noise limit is also discussed. Finally, we compare our results with those obtained by San Miguel and Sancho or Altares and Nicolis. |
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| Keywords: | Nonlinear system Noise Fokker-Planck equation Probability density |
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