Beam-Driven Electron Cyclotron Harmonic and Electron Acoustic Waves as Seen in Particle-In-Cell Simulations

Recent study has demonstrated that electron cyclotron harmonic (ECH) waves can be excited by a low energy electron beam. Such waves propagate at moderately oblique wave normal angles (similar to 70 degrees). The potential effects of beam-driven ECH waves on electron dynamics in Earth's plasma sheet is not known. Using two-dimensional Darwin particle-in-cell simulations with initial electron distributions that represent typical plasma conditions in the plasma sheet, we explore the excitation and saturation of such beam-driven ECH waves. Both ECH and electron acoustic waves are excited in the simulation and propagate at oblique wave normal angles. Compared with the electron acoustic waves, ECH waves grow much faster and have more intense saturation amplitudes. Cold, stationary electrons are first accelerated by ECH waves through cyclotron resonance and then accelerated in the parallel direction by both the ECH and electron acoustic waves through Landau resonance. Beam electrons, on the other hand, are decelerated in the parallel direction and scattered to larger pitch angles. The relaxation of the electron beam and the continuous heating of the cold electrons contribute to ECH wave saturation and suppress the excitation of electron acoustic waves. When the ratio of plasma to electron cyclotron frequency omega pe/omega ce increases, the ECH wave amplitude increases while the electron acoustic wave amplitude decreases. Our work reveals the importance of ECH and electron acoustic waves in reshaping sub-thermal electron distributions and improves our understanding on the potential effects of wave-particle interactions in trapping ionospheric electron outflows and forming anisotropic (field-aligned) electron distributions in the plasma sheet. Recent study has demonstrated that electron cyclotron harmonic (ECH) waves can be excited by a low energy electron beam. The potential role of beam-driven ECH waves in affecting electron dynamics is not known. Using numerical simulations, we explore the interactions between electrons and such beam-driven ECH waves. Both ECH and electron acoustic waves are excited in the simulation and propagate at oblique wave normal angles. Compared with the electron acoustic waves, ECH waves grow much faster. Cold, stationary electrons are first accelerated in the perpendicular direction then accelerated in the parallel direction. Beam electrons, on the other hand, are decelerated in the parallel direction and scattered to larger pitch angles. The relaxation of the electron beam and the continuous heating of the cold electrons contribute to the saturation of ECH waves. When the ratio of plasma to electron cyclotron frequency increases, the ECH wave amplitude increases while the electron acoustic wave amplitude decreases. Our work reveals the importance of ECH and electron acoustic waves in modifying electron distributions in Earth's plasma sheet. Electron cyclotron harmonic (ECH) and electron acoustic waves are excited by an electron beam in a 2-D particle-in-cell simulation Beam electrons are thermalized and cold electrons are accelerated through resonant interactions with ECH and electron acoustic waves When omega pe/omega ce increases, ECH wave intensity increases while electron acoustic wave intensity decreases