langevin equation meaning in English
朗之万方程
Examples
- From langevin equation , the stochastic resonance characteristics of bistable system were investigated , including the probability density function and other character numbers
通过朗之万( langevin )方程，本文详细研究了双稳态系统的随机共振特性，得出系统稳态输出的概率密度分布函数及其数字特征。 - By the method of unified colored noise approximation and the transformation of noise terms in langevin equation , the corresponding fokker - planck equation is obtained . the steady state probability current is derived according to the conservation law of probability
通过统一色噪声近似和朗之万方程中的耦合噪声项的变换，可得到相应的福克?普朗克方程，再根据几率守恒定律推导出定态几率流。 - 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。 - This thesis was divided into eight chapters , and the main results and innovations obtained here can be summarized as follows : ( 1 ) the physics model of tsrs in frequency conversion crystals has been built up firstly . based on quantum - mechanical viewpoints and the following physical processes and parameters : the two - photo interaction of light with matter , paraxial diffraction of stokes , langevin noise sources , reflection at the faces and the edges of crystals , gain coefficient , beam aperture , pulse width and fluence of 3 , the physics model of tsrs in kdp and kdp crystals acting as high - fluence frequency convector and the paraxial operator maxwell - bloch - langevin equations have been built up
全文共分八章，取得的主要成果及创新点如下： ( 1 )首次建立了谐波转换晶体的tsrs物理模型本文根据量子力学原理，在考虑如下物理过程和参量的基础上：光与物质的双光子相互作用； stokes光的傍轴衍射； langevin (郎兹万)噪声源；晶体表面反射和端面反射；增益系数、光束口径、脉宽和三倍频光能量密度，推导出高通量激光在kdp和kd ~ * p谐波转换晶体中的tsrs物理模型和空间上的近轴算符maxwell - bloch - langevin方程组。