scholarly journals NONSTATIONARY SOLUTION TO THE ENSKOG-LANDAU KINETIC EQUATION USING BOUNDARY CONDITIONS METHOD

1996 ◽  
pp. 75 ◽  
Author(s):  
Kobryn ◽  
Omelyan ◽  
Tokarchuk
Keyword(s):  
Kinetic Equation ◽  
Boundary Conditions ◽  
Nonstationary Solution

Boundary conditions for the single-group kinetic equation of a reactor

1990 ◽  
Vol 68 (4) ◽  
pp. 261-265
Author(s):  
E. F. Sabaev ◽  
T. A. Sabaeva
Keyword(s):  
Kinetic Equation ◽  
Boundary Conditions ◽  
Single Group

scholarly journals Boundary conditions for the electron kinetic equation using expansion techniques

2010 ◽  
Vol 51 (1) ◽  
pp. 11001 ◽  
Author(s):  
M. M. Becker ◽  
G. K. Grubert ◽  
D. Loffhagen
Keyword(s):  
Kinetic Equation ◽  
Boundary Conditions

scholarly journals Normal solution to the Enskog-Landau kinetic equation: boundary conditions method

1996 ◽  
Vol 223 (1-2) ◽  
pp. 37-44 ◽  
Author(s):  
A.E. Kobryn ◽  
I.P. Omelyan ◽  
M.V. Tokarchuk
Keyword(s):  
Kinetic Equation ◽  
Boundary Conditions ◽  
Normal Solution ◽  
Equation Boundary

Stability and Shrinkage by Diffusion in Hollow Nanotubes

2007 ◽  
Vol 266 ◽  
pp. 39-47 ◽  
Author(s):  
Alexander V. Evteev ◽  
Elena V. Levchenko ◽  
Irina V. Belova ◽  
Graeme E. Murch
Keyword(s):  
Monte Carlo Simulation ◽  
Exact Solution ◽  
Monte Carlo ◽  
Steady State ◽  
Kinetic Equation ◽  
Boundary Conditions ◽  
Linear Approximation ◽  
Kinetic Monte Carlo ◽  
Quasi Steady State ◽  
Vacancy Mechanism

The shrinkage via the vacancy mechanism of a mono–atomic nanotube is described. Using Gibbs–Thomson boundary conditions an exact solution is obtained of the kinetic equation in quasi steady–state at the linear approximation. A collapse time as a function of the size of a nanotube is determined. Kinetic Monte Carlo simulation is used to test the analytical analysis.

Spectroscopic measurements of the velocity distribution of neutral particles in a plasma in front of a wall

1982 ◽  
Vol 27 (2) ◽  
pp. 277-293 ◽  
Author(s):  
E. K. Souw ◽  
J. Hackmann ◽  
J. Uhlenbusch
Keyword(s):  
Kinetic Equation ◽  
Boundary Conditions ◽  
Velocity Distribution ◽  
Typical Characteristic ◽  
Wall Surface ◽  
Spectroscopic Measurements ◽  
One Dimensional ◽  
Neutral Particles ◽  
Metallic Wall ◽  
Wall Interaction

The influence of a metallic wall on the velocity distribution of the neutral particles in a plasma has been experimentally determined by spectroscopic measurements of a Doppler broadened line. Typical characteristic facts of the plasma –wall interaction can be explained quantitatively by means of a one-dimensional kinetic equation, which is solved in the plasma –wall interaction region, assuming reasonable boundary conditions on the wall surface.

scholarly journals Diffusion Process and Reaction on a Surface

2018 ◽  
Vol 2018 ◽  
pp. 1-11
Author(s):  
M. E. K. Fuziki ◽  
M. K. Lenzi ◽  
M. A. Ribeiro ◽  
A. Novatski ◽  
E. K. Lenzi
Keyword(s):  
Kinetic Equation ◽  
Boundary Conditions ◽  
Diffusion Process ◽  
Active Sites ◽  
Fractional Derivatives ◽  
Broad Class ◽  
Surface Effects ◽  
Infinite Medium ◽  
Reaction Process ◽  
Diffusive Process

We investigate the influence of the surface effects on a diffusive process by considering that the particles may be sorbed or desorbed or undergo a reaction process on the surface with the production of a different substance. Our analysis considers a semi-infinite medium, where the particles may diffuse in contact with a surface with active sites. For the surface effects, we consider integrodifferential boundary conditions coupled with a kinetic equation which takes non-Debye relation process into account, allowing the analysis of a broad class of processes. We also consider the presence of the fractional derivatives in the bulk equations. In this scenario, we obtain solutions for the particles in the bulk and on the surface.

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