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Effects of non-thermal high-energy electrons on Langmuir wave-particleinteraction are investigated by an initial value approach. A Vlasov-Poissonsimulation is employed which is based on the splitting scheme by Cheng andKnorr [Cheng, C.Z. and G. Knorr, 1976: J. Comput. Phys. 22, 330-351.]. Thekappa distribution function is taken as an example of non-thermal electrons.The modification is manifested as an increase in the Landau damping rate and adecrease in the real frequency for a long wavelength limit. A part of theanalyses by the modified plasma dispersion function [Summers, D. andR.M.Thorne, 1991: Phys. Fluids, B 3, 1835-1847.] is reproduced for $\kappa =2,3$ and 6. The dispersion relation from the initial value simulation and theplasma dispersion function compare favorably.

Effects of kappa distribution function on Landau damping in electrostatic Vlasov simulation