scholarly journals Одномерное квазилинейное уравнение для описания генерации токов увлечения в плазме токамака геликонами

2022 ◽  
Vol 48 (2) ◽  
pp. 24
Author(s):  
А.Ю. Попов ◽  
Е.З. Гусаков
Keyword(s):  
Distribution Function ◽  
Diffusion Coefficient ◽  
Linear Equation ◽  
Electron Distribution ◽  
Electron Distribution Function ◽  
Planck Equation ◽  
Electron Velocity ◽  
Landau Damping ◽  
One Dimensional ◽  
Dimensional Equation

A quasi-linear equation which allows describing evolution of electron distribution function and generation of non-inductive currents by helicons is obtained. It is shown that in the analysed case the Fokker-Planck equation can be approximated by a one-dimensional equation in the longitudinal electron velocity space with a diffusion coefficient proportional to the helicon power absorbed by electrons due to Landau damping.

scholarly journals Absorption of ultra-short laser pulses and particle transport in dense targets

2006 ◽  
Vol 24 (2) ◽  
pp. 231-234 ◽  
Author(s):  
M. SHERLOCK ◽  
A. R. BELL ◽  
W. ROZMUS
Keyword(s):  
Distribution Function ◽  
Electron Distribution ◽  
Energy Transport ◽  
Electron Distribution Function ◽  
Planck Equation ◽  
Front Surface ◽  
Normal Incidence ◽  
Laser Pulses ◽  
Spatial Dimension ◽  
Numerical Code

A new version of the numerical code KALOS has been developed to solve the Vlasov-Fokker-Planck equation for electrons as well as EM wave propagation. KALOS represents the electron distribution function in momentum space by an expansion in spherical harmonics. Its unique features make possible simultaneous investigations of fast electron generation and transport and the collisional evolution of thermal particles, including the return current of cold electrons. We report here on results obtained in one spatial dimension. Absorption of 100fs, 1015W/cm2laser pulses has been studied at normal incidence in sharp-edged dense plasmas. We have studied the effect on absorption of energy transport into the target as well as the deviation of the electron distribution function from Maxwellian. It is shown that it is necessary to take into account collisional heat transport into the target in order to correctly model the absorption rate at the front surface.

scholarly journals Heat Flux in a Non-Maxwellian Solar Coronal Plasma

1989 ◽  
Vol 104 (2) ◽  
pp. 289-292
Author(s):  
N.N. Ljepojevic ◽  
P. MacNeice
Keyword(s):  
Heat Flux ◽  
Distribution Function ◽  
High Velocity ◽  
Coronal Loop ◽  
Numerical Scheme ◽  
Electron Distribution ◽  
Electron Distribution Function ◽  
Planck Equation ◽  
Fourier Law ◽  
Velocity Form

AbstractWe determine the electron distribution function within a hot coronal loop using a hybrid numerical scheme which couples the Spitzer-Härm method at low velocities with the solution to the high velocity form of the Landau-Fokker-Planck equation. From this we calculate the heat flux throughout the loop and compare it with the classical fourier law of Spitzer and Härm(1953).

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