New Coulomb logarithm and its effects on the Fokker-Planck equation, relaxation times and cross-field transport in fusion plasmas

2001 ◽  
Vol 41 (5) ◽  
pp. 631-635 ◽  
Author(s):  
Ding Li
Keyword(s):  
Relaxation Times ◽  
Planck Equation ◽  
Fusion Plasmas ◽  
Fokker Planck Equation ◽  
Coulomb Logarithm ◽  
Fokker Planck

scholarly journals Effect of the Damping on the Magnetization of Antiferromagnetic Nanoparticles in a Presence of an Oblique Magnetic Field

2021 ◽  
pp. 1-7
Author(s):  
Bachir Ouari ◽  
◽  
Malika Madani ◽  
Mohamed Lagraa ◽  
◽  
...  
Keyword(s):  
Magnetic Field ◽  
Distribution Function ◽  
Relaxation Times ◽  
Planck Equation ◽  
Dynamic Susceptibility ◽  
Analytic Equation ◽  
Fokker Planck Equation ◽  
Oblique Field ◽  
Oblique Magnetic Field ◽  
Fokker Planck

The magnetization of antiferromagnetic nanoparticles is investigated with the Fokker-Planck equation describing the evolution of the distribution function of the magnetization of an nanoparticle. By solving this equation numerically, the relaxation times, and dynamic susceptibility are calculated for dc field orientations across wide ranges of frequencies, amplitude of the fields and damping. Analytic equation for the dynamic susceptibility is also proposed. It is shown that the damping alters the magnetization in the presence of oblique field applied

CARTESIAN TENSOR EXPANSION OF THE FOKKER–PLANCK EQUATION

1963 ◽  
Vol 41 (11) ◽  
pp. 1753-1775 ◽  
Author(s):  
I. P. Shkarofsky
Keyword(s):  
Relaxation Times ◽  
Low Frequency ◽  
Planck Equation ◽  
Ion Distribution ◽  
Arbitrary Mass ◽  
Fokker Planck Equation ◽  
Energy Equipartition ◽  
Tensor Part ◽  
Ion Collision ◽  
Fokker Planck

The Fokker–Planck equation is expanded via Cartesian tensors. The results, valid for arbitrary mass ratio, reduce to known expressions for the f0, (isotropic) and f1 (directional) parts of the distribution. The same analysis also gives the relation for the f2 (tensor) part of the distribution. Nonlinear and recoil terms are also investigated. The f0 relation yields relaxation times and energy equipartition times for arbitrary velocity distributions. The ion recoil term is important for low-frequency waves in the electron f1 equation but is negligible in the electron f2 equation. The electron–electron contributions to the f1 and f2 collisional terms are of the same order as the electron–ion contributions. Except for momentum transfer calculations, the ion–ion collisional terms dominate over the ion–electron terms in the ion collision equations referring to the directional (F1) and tensor (F2) parts of the ion distribution.

AN APPLICATION OF FOKKER–PLANCK EQUATION TO JOSEPHSON JUNCTION

1989 ◽  
Vol 9 (1) ◽  
pp. 109-120
Author(s):  
G. Liao ◽  
A.F. Lawrence ◽  
A.T. Abawi
Keyword(s):  
Josephson Junction ◽  
Planck Equation ◽  
Fokker Planck Equation ◽  
Fokker Planck

scholarly journals Time-changed fractional Ornstein-Uhlenbeck process

2020 ◽  
Vol 23 (2) ◽  
pp. 450-483 ◽  
Author(s):  
Giacomo Ascione ◽  
Yuliya Mishura ◽  
Enrica Pirozzi
Keyword(s):  
Planck Equation ◽  
Uhlenbeck Process ◽  
Fokker Planck Equation ◽  
Ornstein Uhlenbeck Process ◽  
Fokker Planck

AbstractWe define a time-changed fractional Ornstein-Uhlenbeck process by composing a fractional Ornstein-Uhlenbeck process with the inverse of a subordinator. Properties of the moments of such process are investigated and the existence of the density is shown. We also provide a generalized Fokker-Planck equation for the density of the process.

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