Plasma Parameters
Dispersion
ωₚ: —
ω_Langmuir(k): —
ω_ion-acoustic(k): —
Landau damp γ: —
Phase vel vφ: —
Group vel vg: —
Theory
Bohm-Gross (Langmuir):
ω² = ωₚ² + 3k²vₜₕ²
Ion-acoustic:
ω = k·cs, cs = vₜₕ/√(m_i/m_e)
Landau damping (weak damping):
γ/ωₚ ≈ −√(π/8)(ωₚ/kvₜₕ)³ e^{−ω²/2k²vₜₕ²}
Wave-particle resonance at v_res = ω/k — particles near resonance drain wave energy.