Shear-Alfven wave: ω² = k_∥²·B₀²/(μ₀·ρ); v_A = B₀/√(μ₀ρ)

Layer 1 — Physicsin the fusion-physics subtree

Shear-Alfven-wave framework — the fundamental transverse MHD wave propagating along magnetic field lines, with dispersion relation determined by field-line tension and plasma inertia (Alfvén, Nature 150, 405, 1942). Setup: ideal-MHD…

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Sturm-Liouville theory
Alfven dispersion: ω²=k²B²/(μ₀ρ); v_A = B/√(μ₀ρ); group vel = phase vel

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