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Plasma Physics

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Plasma Physics

Relativistic Plasma

A high-energy density plasma where thermal electron energies approach or exceed rest mass energy (511 keV), requiring relativistic plasma…

k_B T_e ≳ m_e c² ≈ 511 keV, γ_e ≫ 1 keV or MeV (Thermal Energy)
Plasma Physics

Reversed Field Pinch (RFP)

A toroidal magnetic confinement device in which the toroidal magnetic field self-reverses direction near the outer edge of the plasma…

B_toroidal reverses direction near plasma edge (q < 1) T (Toroidal Field B_T)
Plasma Physics

Saha Ionization Equation

A thermodynamic relation expressing the ionization state of a plasma in thermal equilibrium as a function of temperature and electron…

(n_i+1 n_e) / n_i = (2 g_i+1 / g_i) (2 π m_e k_B T / h²)^(3/2) e^(-E_ion / (k_B T)) m⁻³ (Ionization Balance Density)
Plasma Physics

Solar Wind

A continuous supersonic stream of fully ionized magnetoplasma (protons, electrons, alpha particles) expanding outward from the Sun's corona…

v_sw ≈ 300–800 km/s, n_e ≈ 5 cm⁻³ at 1 AU km/s (Velocity) & cm⁻³ (Density)
Plasma Physics

Stellarator

A magnetic confinement fusion device that produces a helical magnetic field using complex, 3D non-planar external electromagnetic coils…

Rotational Transform ι = 1 / q (Generated entirely by 3D external coils) Dimensionless Magnetic Transform
Plasma Physics

Thermal vs Non-Thermal Plasmas

The classification of plasmas based on thermodynamic equilibrium between electron temperature T_e and heavy ion/gas temperature T_i.

Thermal: T_e ≈ T_i ≈ T_gas; Non-Thermal: T_e ≫ T_i ≈ T_gas Kelvin or eV
Plasma Physics

Tokamak

A toroidal magnetic confinement fusion device that utilizes external magnetic coils and an internal driven plasma current to create a…

q = (r B_toroidal) / (R B_poloidal) Dimensionless Safety Factor q
Plasma Physics

Two-Stream Instability

A fundamental electrodynamic plasma instability that occurs when two counter-streaming particle beams or an electron beam injected into a…

1 = (ω_pe1² / (ω - k v₁)²) + (ω_pe2² / (ω - k v₂)²) s⁻¹ (Growth Rate Im(ω))
Plasma Physics

Upper & Lower Hybrid Resonances

Characteristic wave resonance frequencies in magnetized plasmas where wave group velocity vanishes and electromagnetic energy couples…

Upper: ω_UH = √(ω_pe² + ω_ce²); Lower: 1 / ω_LH² = 1 / (ω_ci² + ω_pi²) + 1 / (ω_ce ω_ci) rad/s (Resonance Frequencies)
Plasma Physics

Vlasov Equation

The fundamental partial differential equation governing the evolution of the single-particle distribution function f(r, v, t) in a…

∂f / ∂t + v · ∇_r f + (q / m) (E + v × B) · ∇_v f = 0 Collisionless Kinetic Operator
Plasma Physics

Whistler Waves

A right-hand circularly polarized electromagnetic wave mode propagating along magnetic field lines in a magnetized plasma below electron…

v_phase = c √(ω ω_ce) / ω_pe (For ω ≪ ω_ce) Audio Frequency Pitch Glissando (kHz)
Plasma Physics

Z-Pinch

A plasma confinement geometry where an axial electric current passed through a plasma column generates a self-pinching azimuthal magnetic…

Bennett Relation: I² = (8 π / μ₀) N k_B (T_e + T_i) MA (Mega-amperes Current)