Numerical Study of the Influence of Collisions on Oscillations of the Electric Field for the Vlasov-Poisson-Landau Kinetic Equation

The paper is devoted to the numerical study of solutions to the Vlasov-Poisson-Landau kinetic equations for distribution functions with typical length $$L$$L such that $$\varepsilon = {r_D}/L \lt\!\!\!\! \lt 1$$e=rD/L<<1, where rD stands for the Debye radius. It is also assumed that the Knudsen number 0 and different $$Kn$$Kn. The numerical results are presented and compared with appropriate solutions obtained earlier for the simplified $$1D$$1D BGK model. The results confirm numerically the existence of high-frequency oscillations of the electric field, which slowly decline due to collisions.