关联噪声和周期信号驱动非对称双稳系统的稳态分析

发布时间：2018-07-10 05:41

本文选题：非线性光学 + 非对称双稳系统　；参考：《量子电子学报》2014年01期

【摘要】：运用Liouville方程和诺维科夫原理,解出了关联噪声和周期信号共同驱动的非对称双稳系统的近似福克-普朗克方程,并求解了其稳态概率密度函数。在此基础上,分析了乘性噪声强度D、加性噪声强度Q、噪声间关联系数λ,周期信号振幅A、频率Ω以及系统非对称参数r等对稳态概率密度分布曲线的影响。结果表明:1)噪声强度及其关联、周期信号振幅、系统非对称参数的改变均能引起稳态概率密度分布曲线单峰结构和双峰结构之间的转换,即能够诱导非平衡相变产生;2)周期信号频率改变时,没有非平衡相变发生;3)当系统非对称参数为零时,稳态概率密度分布曲线具有关于x=0的对称结构;当系统非对称参数不等于零时,其对称结构被破坏。
[Abstract]:By using Liouville equation and Novikov principle, the approximate Fokk-Planck equation of asymmetric bistable system driven by correlation noise and periodic signal is obtained, and its steady-state probability density function is solved. On this basis, the effects of multiplicative noise intensity D, additive noise intensity Q, noise correlation coefficient 位, amplitude of periodic signal A, frequency 惟 and system asymmetric parameter r on the steady probability density distribution curve are analyzed. The results show that the change of noise intensity and its correlation, the amplitude of periodic signal, and the asymmetric parameters of the system can result in the conversion between the single-peak structure and the bimodal structure of the steady-state probability density distribution curve. That is, when the frequency change of periodic signal can be induced by non-equilibrium phase transition, there is no non-equilibrium phase transition. 3) when the asymmetric parameter of the system is 00:00, the steady state probability density distribution curve has a symmetric structure for x0. When the asymmetric parameter of the system is not equal to 00:00, its symmetric structure is destroyed.
【作者单位】：长江大学物理科学与技术学院;
【基金】：湖北省教育厅重点科学技术研究项目(D20121203)资助
【分类号】：TN911.6

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