Open-field explorer
The closed-form relations of this family, live: a magnetic mirror's ratio, loss cone, collisional and confinement time-scales and FLR criterion; a tandem mirror's plugging; and the levitated dipole's floating coil as Garnier et al. print it. The presets are the fixtures the cores test against.
computational_prototype maturity. No Fokker–Planck, ambipolar, equilibrium or stability equation is solved; the anchors reproduce numbers and statements the sources print and are not correlations with experimental data; no fusion power, gain, breakeven or reactivity statement is made; no value describes or validates any real machine.Magnetic mirror — ratio, loss cone, time-scales, FLR
\(R_m = R_{\mathrm{vac}}/\sqrt{1-\beta}\); ion cone \((1 + Z\Delta\phi/E_i)/R_m\), electron cone \((1 - \Delta\phi/T_e)/R_m\) with electrons at \(E = T_e\); \(f_{\mathrm{loss}} = 1 - \sqrt{1 - \sin^2\theta}\); WHAM eqs. 3.1–3.5, 3.7. Regime is declared, not computed; \(m = 1\) is not assessed.
Tandem mirror — electrostatic plugging (Frank et al. 2025)
\(\phi_i = T_e\ln(n_p/n_c)\); \(G(R_{mc})\); \(\tau_f = \sqrt{\pi}R_{mc}(l_c/v_{th,ic})e^{\phi_i/T_{ic}}\) with \(v_{th,ic} = \sqrt{T_{ic}/2m_{ic}}\); \(\tau_\rho = \tfrac14(a_c/\rho_{ic})^2\tau_{ii}\) at \(E_i = T_{ic}\); \(E_h = \phi_e/(R_m\sin^2\theta_{\mathrm{NBI}} - 1)\). The Pastukhov time of eq. 3.3 and the combined \(\tau_c\) are evaluated by the core and not shown here.
Levitated dipole — the floating coil of Garnier et al. 2006
\(NI\), \(m = \pi R^2 NI\) with \(R = a/2\); \(I_F = (M_{CF}/L_F)I_C\); \(B_r\) in both readings; \(\mathrm{d}B/\mathrm{d}z = Mg/m\); \(B_{\mathrm{res}} = 2\pi m_e f/e\) (non-relativistic); \(\beta_\perp = 3\beta/(2 + 1/\mathrm{anisotropy})\); \(B = \sqrt{2\mu_0 p_\perp/\beta_\perp}\); \((p_0/p_{\mathrm{sol}})^{1/\gamma}\). The plasma quantities describe one published discharge, not a design point.