The numerical solution of Fokker-Planck equation is studied in this paper.
本论文对Fokker-Planck方程数值解作了初步的研究。
In chapter three, we solve the Fokker- Plank equation by the method of eigen- value expansion. We have two examples to describe the practicability of this method.
在第三章，我们以本徵值展开法来解Fokker-Planck方程式，同时并举了两个例子来说明这种方法的实用性。
It is shown that there are some obvious differences between the solution of Fokker-Planck equation and our results.
研究表明，在一定的条件下本文的结果与Fokker-Planck方程的解有明显的区别。
In the second parts, a method on studying stochastic transition of the Fokker-Planck equation is introduced, how to use the method of the latent root to on the Fokker-Planck equation is mainly deduced.
第二部分介绍了研究马达的随机跃迁方法-福克普朗克方程的特征根解法，着重推导了如何用特征根方法解福克普朗克方程。
The thesis includes three parts: Firstly, previous study and latest advance of molecular motor in biology are outlined, including Myosin's and Kinesin's construction and function, the latest advance of molecular motor in constructional biology; Secondly, the latest advance of molecular motor in physics is reviewed, including the general view of Brownian motor and two examples of molecular motor, one being related to two kinds of flashing potention energy, the other being related to electronical bipole; And finally, the model on unidirectional motion of molecular motor is in detail come up with, and especially, the interact ion between two heads is taken into account, followed by the construction of Langevin equation and Fokker-Planck equation involved in the model. By using solutions of Fokker-Planck equation, unidirectional motion mechanism of molecular motor is analyzed.
本文内容包括：首先综述生物学领域分子马达研究的最新进展，内容安排为：肌球蛋白的结构和功能，驱动蛋白的结构和功能，肌球蛋白和驱动蛋白定向运动机制的结构生物学方面的最新进展；其次综述并分析了当前研究分子马达定向运动机制的几种物理模型，内容安排为：分子马达运动的基本观点和建构模型的一般方法，势垒的两态涨落诱导的分子马达运动模型，分子马达定向运动的偶极子模型；最后讨论双头相互作用的分子马达模型，内容安排为：先详细论述模型的构建，再建立Langevin方程和Fokker-Planck方程，接着用差分的方法求解出Fokker-Planck方程的解，然后分析和研究分子马达定向运动的机制。
Key words: engineering mechanics; Poisson white noise; perturbation approach; dissipated Hamiltonian system; probability density function; generalized Fokker-Planck equation
关键 词：工程力学；泊松白噪声；摄动法；耗散的哈密顿系统；概率密度函数；广义Fokker-Planck 方程
The subject of longitudinal microwave instability of a single bunched beam in a circular accelerator is studied with perturbation approach based on the Fokker-Planck equation, the potential well distortion effect and the synchrotron radiation damping effect being also included.
在Fokker-Planck方程的基础上采用微扰展开方法对纵向微波不稳定性的发生机制及过程进行了分析，并且根据计算结果，研究了辐射阻尼效应对纵向微波不稳定性的影响。在计算中包含了静态的势阱畸变效应。计算结果表明，包含辐射阻尼效应的纵向微波不稳定性阈值高于没有辐射阻尼效应的不稳定性阈值。
Some models describing first or second order nonequilibrium phase transition under exteral Gaussian white noise are studied. The exact time-dependent solution of the probability density of the relevant Fokker-Planck equation, P (x, t), is obtained by using a method of Lie group.
采用微分方程的李群方法，研究了外噪声影响下的非平衡相变模型对应的FokkerPlanck（FP）方程，得出了含时间概率密度P（x，t）的严格表达式；
Fission Probability Calculation by Solving Fokker-Planck Equation With Variation Method
用变分法解Fokker&Planck方程计算核裂变几率
The covariant form of the Langevin equation and the Fokker-Planck equation describing the nuclear fission process is studied. The transformations of dynamical parameters are given.
研究了描述原子核裂变过程的Langevin方程和Fokker－Planck方程的协变性，给出了动力学参数的坐标交换规律。
Based on the Langevin equation of the nonlinear dynamical system, the Fokker-Planck equation is derived by using some approximative approaches.
本文从非线性动力系统的朗之万方程出发，应用近似处理的方法，得到系统相应的Fokker-Planck方程。
Application of the Modified Variational Iterative Method in Fokker-Planck Equation
改进的变分迭代法在Fokker-Planck方程中的应用
The hot electrons spectra with exponential form is obtained on basis of the Fokker-Planck equation, which is consistent with the experimental results.
这种加速谱具有指数的形式，和实验所得到的结果相符。
A Study of Quasilinear Diffusion Coefficient of the Fokker-Planck Equation Based on Full Wave Method Discretization of Two-dimensional Advection-Diffusion Equation with Unstructured Cell Center Finite Volume Method
基于无结构网格单元中心有限体积法的二维对流扩散方程离散
Fokker-Planck equation with a bistable potential is discussed.
本文讨论了具有双稳势的Fokker-Planck方程。
Analytic solutions of the mean, variance and skewness of the laser intensity are calculated through a Fokker-Planck equation.
用Hanggi分解因子来近似有色倍增噪声，通过福克&普朗克方程求出了激光强度的平均值、方差和偏斜度的解析解。
Also, a term describing the confinement of electron tail is included in the Fokker-Planck equation.
同时.福克－普朗克方程中包括了描述尾部电子约束的项。
This paper gives the solution to the Fokker-Planck equation describing the evolution of the interstitial loops.
本文给出了间隙环形成的Fokker-Planck方程解。
This system can be described by a high dimensional Langevin equations which is Markovian type, then we can get the corresponding Fokker-Planck equation.
本文研究了由简谐噪声驱动的布朗粒子在分段势场中的逃逸，此系统可由一个高维的马尔科夫化的朗之万方程组来描述，进而可以得到相应的福克-普朗克方程。
In this paper the equations of energy response and its Fokker-Planck equation for an oscillatory system were derived from Ito stochastic differential theory.
本文应用Ito微分理论导出振动体系受随机荷载作用下的能量反应方程和Fokker-Planck方程。