AN IMPROVED SEMI-CLASSICAL KMC SIMULATION APPROACH AT A NANO-SCALE FOR ELECTRONS FLOW INTO PLASMA

Abstract

This is part of a study on electrons beam’s injection into plasma (or gas), is a complicated problem dewing to a great amount of parameters and to long non linear process. Particle-in-cell PIC models allow the study of plasma behavior by computing the trajectories of finite-size particles under the action of external and of self-consistent electric and magnetic fields. In this work, the finite difference method (FDM) is used to obtain the self-consistent fields, other various fields, and data which describe (motion, energy, density, ..) of particles (electrons of beam, electrons of plasma, ions, neuters) in a grid of points (nodes). The differential equations that describe the electric and / or the magnetic fields are transformed in a finite set of differential equations by applying either the Weighted Residual Method (WRM), a variational approach or Monte Carlo. In a next step, the FDM is applied in order to obtain a finite set of numerical equations from the differential ones.