39-EFT.WP.Plasma.Confinement v1.0 | Chapter 2 — Terms & Symbols (Plasma Specialization)

Home ／ Docs-Technical WhitePaper ／ 39-EFT.WP.Plasma.Confinement v1.0

Chapter 2 — Terms & Symbols (Plasma Specialization)

I. Sources & Applicability

1. This chapter fixes the terminology and symbol dialect for Plasma Confinement (PC), covering cross-domain interfaces among equilibrium/topology, waves/heating, transport/turbulence, edge/SOL, and diagnostics.
2. Section headings use Roman numerals in bold; bullet items use “- space”; numbered lists use “1. space”.
3. All symbols/formulae are in English and wrapped in backticks; any expression with division/integrals/composed operators must be parenthesized and explicitly declare the path gamma(ell) and measure d ell.
4. Shared time-of-arrival dialect (two equivalent forms; path/measure explicit; record delta_form):
   • Constant-factored: T_arr = ( 1 / c_ref ) * ( ∫ n_eff d ell )
   • General: T_arr = ( ∫ ( n_eff / c_ref ) d ell )
5. SI units; key equalities must pass check_dim = pass; cross-volume hard gates: conservation/causality hold, and two-dialect T_arr agreement.

II. Master Glossary (anchor at first occurrence)

• Fields & fluids: B(x,t) (magnetic field), E(x,t) (electric field), J(x,t) (current density), u_s(x,t) (species flow), n_e/n_i (density), T_e/T_i (temperature), p = n k_B T (pressure), β = 2μ0 p / B^2.
• Topology & equilibrium: psi (poloidal flux), Φ (toroidal flux), q(psi) (safety factor), ⟨·⟩_psi (flux-surface average).
• Orbits & scales: Ω_c = q_s B / m_s (cyclotron frequency), ρ_L = v_⊥ / Ω_c (Larmor radius), λ_mfp (mean free path), χ_∥/χ_⊥ (thermal diffusivities).
• Waves & heating: n_eff(omega) (effective refractive index), k_∥/k_⊥, E_RF, α_abs (absorption), P_dep(r) (deposition).
• Transport & turbulence: Γ_s (particle flux), Q_s (heat flux), D_GB (gyro-Bohm scale), S_k(omega) (spectrum).
• Diagnostics & observables: ECE/CTS/interferometry/magnetics/divertor heat flux channels and calibration factors.
• Averages & statistics: ⟨·⟩ (statistical/time/volume averages with subscripted domains), RMS{·} (root mean square).

III. Symbols & Units (minimal set)

IV. Dimensions & Normalization (recommended dialect)

• Alfvén normalization: v_A = B/√(μ0 ρ), τ_A = L / v_A, \hat{t}=t/τ_A, \hat{u}=u/v_A, \hat{B}=B/B_0.
• Gyro-Bohm scaling: D_GB = ρ_s^2 c_s / a (or dimensionally equivalent); use “hat” \hat{·} for nondimensional variables and provide mapping tables.
• Energy & power: use SI (J, W) as the base; if eV is used, list conversions in the dataset card.

V. Forbidden Aliases & Conflicts (mandatory)

• T_fil (tension) ≠ T_trans (transmittance) — must not be conflated.
• n (number density) ≠ n_eff (effective refractive index) — must be distinguished.
• Bare c is forbidden; use c_ref.
• Ambiguous sigma: sigma_cond for conductivity, sigma_std for standard deviation.
• Frequency variable is uniformly omega; f appears only in prose, never in equations.
• Do not mix rad and dB in the same equation.

VI. Notation Style & Expression Rules (mandatory)

• Inline + parentheses: expressions like Z = ( V / I ), P = (1/2)·Re{V I*} must be parenthesized; convolutions/averages must specify domain & kernel.
• Path/measure: all line integrals/arrival expressions must declare gamma(ell) and d ell; choose one T_arr dialect but record delta_form in data/reports.
• Conservation/causality: minimal sets must expose sources/sinks and boundary fluxes; linear responses must state K–K causality or stability constraints.
• Averages & errors: subscript average domains (t/ψ/V) on ⟨·⟩; report uncertainty as u(·) and provide the composition method.

VII. Two-Dialect Arrival Consistency (hard gate)

VIII. Record Fields (aligned with dataset cards)

• Required: device/geometry/coils, equilibrium{psi,q(psi)}, transport/closure, rf{freq,n_eff,alpha_abs,P_dep}, diagnostics{AF/PF/calibration}, arrival{form,gamma,measure,c_ref,Tarr,u_Tarr,delta_form}, qa_gates{check_dim,conservation,stability}.
• Example (fragment):
• pc_record:
• device: {type:"tokamak", R0_m:1.8, a_m:0.6}
• equilibrium: {psi_file:"/data/psi.nc", q_profile:"/data/q.nc"}
• rf:
• freq_GHz: 170
• n_eff_model: "cold_plasma"
• alpha_abs: {...}
• P_dep_Wm3: {...}
• transport: {closure:"gyroBohm", chi_perp_m2s: 0.6}
• arrival:
• form: "n_over_c"
• gamma: "explicit"
• measure: "d_ell"
• c_ref: 299792458.0
• Tarr_s: 2.31e-06
• u_Tarr_s: 8.0e-08
• delta_form: "n_over_c"
• qa_gates: {check_dim:"pass", conservation:"pass", stability:"pass"}

IX. Non-Compliant Examples (prohibited)

• T_arr = ∫ n_eff (no path/measure declared).
• Mixing rad and dB for phase/amplitude in a single equation.
• Using n to denote n_eff or vice versa.
• Omitting average-domain subscripts on ⟨·⟩.

X. Execution Notes

• At first occurrence, anchor each term/symbol with type note (scalar/vector/tensor; real/complex), unit, and measurable part (magnitude/phase/real).
• Any cross-volume citation must follow “work name + version + anchor (P/S/M/I)” format, preferably to article-level anchors.
• The dialect hereafter is normative for Chapters 3–16 and appendices in PC scenarios.