High energy electron behaviors in Langmuir solitons

Effects of non-thermal high-energy electrons on Langmuir wave-particle interaction is studied by an initial value approach. A Vlasov-Poisson simulation is employed based on the splitting scheme.\footnote{C.Z.Cheng and G.Knorr, J. Comput. Phys. {\bf 22}, 330 (1976).} The interaction between high frequency Langmuir waves and low frequency ion acoustic waves gives rise to Langmuir soliton.\footnote{V.E.Zhaharov, Sov. Phys. JETP {\bf 35}, 908 (1972).} Formation of high energy electrons by the Langmuir solitons is investigated.