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Plasma Physics

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Landau Damping Plasma Physics s⁻¹ (Damping Rate γ) The collisionless damping of electrostatic plasma waves caused by energy exchange between wave electric fields and particles moving near wave phase velocity. γ_L = (π ω_pe³ / (2 k²)) (df₀ / dv)|_(v = ω/k) Langmuir Probe Plasma Physics A (Measured Current) & V (Bias Voltage) A diagnostic electrode inserted directly into a plasma to measure local electron temperature, plasma density, and floating potential from its current-voltage (I-V) curve. I(V) = I_i,sat - I_e,sat exp(e (V - V_plasma) / (k_B T_e)) Laser Wakefield Acceleration Plasma Physics GeV/m (Accelerating Electric Field Gradient) An advanced particle acceleration technique where ultra-intense laser pulses launched through plasma create giant relativistic plasma wave wakes that accelerate electrons over short distances. E_wake ≈ (m_e c ω_p) / e ~ 100 GeV/m (Gradient ~ 1000× conventional LINACs) Lawson Criterion Plasma Physics keV·s/m³ (Fusion Triple Product) A fundamental condition for net thermonuclear fusion power gain, specifying minimum values for plasma density n, energy confinement time τ_E, and temperature T. n τ_E T ≥ 3 × 10²¹ keV·s/m³ (Triple Product for D-T Ignition)