Plasma Debye Shielding & Langmuir Probe

Plasma Parameters

Electron density nₑ (10¹⁸ m⁻³): 1.0 Electron temperature Tₑ (eV): 5.0 Probe radius (mm): 1.0 Probe bias V_bias (V): 0.0

Debye length λ_D—

Plasma freq ωₚ—

Probe current—

Floating potential—

Debye shielding: φ(r) = (Q/4πε₀r)·exp(−r/λ_D) where λ_D = √(ε₀kTₑ/nₑe²). Langmuir probe: I = Iₛₐₜ(e^(eV/kTₑ)−1). Ion saturation current: I_ion = −nₑeA√(kTₑ/mᵢ)/2. V_float: where electron and ion currents balance. Plasma parameter Λ = (4π/3)nₑλ_D³ ≫ 1.