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We present in this paper a rigorous method to derive the nonlinear Fokker-Planck (FP) equation of anomalous diffusion directly from a generalization of the principle of least action of Maupertuis prop...
This paper establishes Fokker-Planck-Kolmogorov type equations for time-changed Gaussian processes. Examples include those equations for a time-changed fractional Brownian motion with time-dependent ...
We consider the linear Wigner-Fokker-Planck equation subject to confining potentials which are smooth perturbations of the harmonic oscillator potential. For a certain class of perturbations we prove ...
The stochastic systems without detailed balance are common in various chemical reaction systems, such as metabolic network systems. In studies of these systems, the concept of potential landscape is u...
Starting from microscopic interaction rules we derive kinetic models of Fokker–Planck type for vehicular traffic flow. The derivation is based on taking a suitable asymptotic limit of the correspondin...
A class of linear kinetic Fokker-Planck equations with a non-trivial dif-fusion matrix and with periodic boundary conditions in the spatial vari-able is considered. After formulating the problem in a ...
We give six arguments that the Planck scale should be viewed as a fundamental minimum or boundary for the classical concept of spacetime, beyond which quantum effects cannot be neglected and the basic...
It is shown, by considering the case of the harmonic oscillator, that quantum fluctuations may be the most significant contribution to the random walk of a single molecule. From this point, the contro...
We investigate solutions, by using the Green function approach, for a system governed by a non-Markovian Fokker-Planck equation and subjected to a Comb structure. This structure consists of the axis o...
In the framework of the statistical mechanics based on the Sharma-Taneja-Mittal entropy we derive a family of nonlinear Fokker-Planck equations characterized by the associated non-increasing Lyapunov ...
The Nobel Prize in Physics 1918, Max Karl Ernst Ludwig Planck, in recognition of the services he rendered to the advancement of Physics by his discovery of energy quanta.
本文通过与精确数值解的比较,在相当大的核温度和粘滞性范围内验证了具有非谐位的Fokker-Planck方程的局域谐振近似的可靠性.
本文提出用Fokker-Planck方程描述高能重离子碰撞时空演化,并用它分析在200AGeV的16O束流和32S束流下,末态粒子的快度分布,并确定了不同系统的弛豫时间,得到了可以和通用经验数值相比较的结果.
将格点规范理论中的演化分布函数逐步地分解为单链变量分布函数的乘积,我们得到了Fokker-Planck方程的平均场近似解.
模耦合理论比较成功地解释了微波不稳定性的发生,其理论基础是Vlasov方程.Fokker-Planck方程包含了束团的辐射阻尼效应和量子激发效应,是比较完备地描述粒子运动状态的束团分布方程.比较了Fokker-Planck方程和Vlasov方程在来源、意义和解法方面的关联和不同,同时介绍了一种多项式展开束团耦合模式来求解Fokker-Planck方程的方法,并在静态分布中包含了势阱畸变的效应.

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