Some Fokker/Planck/Kramers equations of current interest are solved numerically for autocorrelation functions and spectra. It is demonstrated that uncritical use of these equations should be avoided because of the neglect of memory effects inherent in their make-up. Only in the case discussed by Evans (1976) does this type of equation produce realistic spectra, and then only over a limited range of temperature and viscosity. The way to proceed in problems involving molecular diffusion of this type is to use molecular dynamics simulatio
This paper focuses on Pearson diffusions and the spectral high-order approximation of their related ...
AbstractThis paper focuses on Pearson diffusions and the spectral high-order approximation of their ...
Some properties of the Fokker-Planck equations with memory under the condition that detailed balance...
Some Fokker/Planck/Kramers equations of current interest are solved numerically for autocorrelation ...
A theoretical generalisation of the Fokker/Planck equation for atomic and molecular diffusion is com...
In recent years the kinetic Fokker-Planck approach for modeling gas flows has become increasingly po...
The study of laser-created plasmas often requires the use of a kinetic model rather than a hydrodyna...
This paper is concerned with the numerical solution of high-dimensional Fokker- Planck equations re...
We compute autocorrelation functions from nonlinear Fokker-Planck equations that describe nonlinear ...
Using the theory of Markovian diffusion processes it is established that a non-linear Fokker-Planck ...
In this paper numerical solution of Fokker-Planck equations by means of the Chebyshev spectral collo...
Providing an introduction to the theory of nonlinear Fokker-Planck equations, this book discusses fu...
In problems involving highly forward-peaked scattering, the Boltzmann transport equation can be simp...
The Direct Simulation Monte Carlo (DSMC) method is widely used to model non-equilibrium rarefied gas...
The localized function formalism, introduced to transform diffusion equations with multistable poten...
This paper focuses on Pearson diffusions and the spectral high-order approximation of their related ...
AbstractThis paper focuses on Pearson diffusions and the spectral high-order approximation of their ...
Some properties of the Fokker-Planck equations with memory under the condition that detailed balance...
Some Fokker/Planck/Kramers equations of current interest are solved numerically for autocorrelation ...
A theoretical generalisation of the Fokker/Planck equation for atomic and molecular diffusion is com...
In recent years the kinetic Fokker-Planck approach for modeling gas flows has become increasingly po...
The study of laser-created plasmas often requires the use of a kinetic model rather than a hydrodyna...
This paper is concerned with the numerical solution of high-dimensional Fokker- Planck equations re...
We compute autocorrelation functions from nonlinear Fokker-Planck equations that describe nonlinear ...
Using the theory of Markovian diffusion processes it is established that a non-linear Fokker-Planck ...
In this paper numerical solution of Fokker-Planck equations by means of the Chebyshev spectral collo...
Providing an introduction to the theory of nonlinear Fokker-Planck equations, this book discusses fu...
In problems involving highly forward-peaked scattering, the Boltzmann transport equation can be simp...
The Direct Simulation Monte Carlo (DSMC) method is widely used to model non-equilibrium rarefied gas...
The localized function formalism, introduced to transform diffusion equations with multistable poten...
This paper focuses on Pearson diffusions and the spectral high-order approximation of their related ...
AbstractThis paper focuses on Pearson diffusions and the spectral high-order approximation of their ...
Some properties of the Fokker-Planck equations with memory under the condition that detailed balance...