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1)  nonlinear Langevin equation
非线性朗之万方程
2)  langevin equation
朗之万方程
1.
Using the overdamped approximation,Langevin equation is deduced.
在过阻尼近似下,推导出朗之万方程,周期性驱动对双稳态势场的调制及温度噪音的协同作用导致随机共振效应,定性解释了Fe基非晶合金在电脉冲作用下低温纳米晶化的机制。
2.
Base on particle Langevin equation of two -phase flows,two different PDF equations on different level are obtained by dealing with colour-noise using the method of state vector expanding and reducing.
由颗粒运动的朗之万方程出发,对流体脉动速度采用扩维方法,把色噪声转化为白噪声,再降维从而得到两个不同层次的PDF输运方程。
3)  chemical Langevin equation
化学朗之万方程
1.
The response of calcium bursting oscillation to internal noise is studied by solving mesoscopic chemical Langevin equations.
采用介观的化学朗之万方程研究了内噪音对于钙离子阵发振荡行为的影响。
2.
By constructing a mesoscopic stochastic model for intracellular calcium oscillations in a cell system,the authors have investigated how the internal noise would influence the calcium oscillations of such a system using chemical Langevin equation.
通过构建一个细胞内钙振荡的介观随机模型,采用化学朗之万方程,研究了内噪声对细胞内钙振荡的影响。
4)  Langevin gradient equation
朗之万梯度方程
1.
Based on general Langevin gradient equation in uncontrolled state space,the random nonlinear Volterra s integral equation for the second kind,which is equivalent to general Langevin gradient equation,is obtained,by utilizing constant variation method.
该解法从自由状态空间中的广义朗之万梯度方程出发,利用常数变易法导出了与广义朗之万方程等价的广义的第二类非线性、随机性Valterra积分方程,采用逐次逼近法求得了方程的任意阶近似解。
5)  generalized Langevin equation
广义朗之万方程
6)  generalized quantum Langevin equation
广义量子朗之万方程
1.
For a harmonic oscillator coupled to a heat bath with harmonic velocity noise and harmonic noise,we obtain the exact average energy by resoving the corresponding generalized quantum Langevin equation.
通过求解简谐势场中的广义量子朗之万方程,得到平均能量的精确表达式。
补充资料:朗之万方程
      见统计物理学。
  

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