Compression explorer
The closed-form relations of this family, live. Choose a configuration, load a printed design point or type your own, and read the ideal limits the device cores record. Nothing here solves an equation of motion; the sliders move the same five or six numbers the cores' level-0 physics takes.
computational_prototype maturity. The compression laws are conservation laws in their ideal limit: a real liner has finite conductivity and loses flux, a real compression radiates and conducts. They are therefore upper bounds, never predictions. No equation of motion, equation of state or transport equation is solved here; no yield, gain, reactivity, confinement or breakeven statement is made; no value describes or validates any real machine.Cylindrical liner — MagLIF and material liner
Printed design points, as the cores anchor them:
Field, density and temperature gains versus \(C\) on log axes; the marker is the current \(C\). Relations: \(B = B_0 C^2\), \(n/n_0 = C^2\), \(T/T_0 = C^{2(\gamma-1)}\); \(m = \rho\pi[(r_0+d)^2 - r_0^2]l\); \(B_\theta = \mu_0 I / 2\pi r_{\mathrm{out}}\) with \(r_{\mathrm{out}} = r_0 + d\); preheat energy density over \(\pi r_0^2 l\).
Spherical liner formed by plasma jets
Relations: \(\alpha = \arcsin(r_j/R)\), \(f_{\mathrm{cap}} = N(1-\cos\alpha)/2\), \(\rho_{\mathrm{shell}} = M/(4\pi R^2\cdot 2r_j)\), \(p_{\mathrm{ram}} = \rho v^2\), \(n/n_0 = C^3\), \(T/T_0 = C^{3(\gamma-1)}\). The cap sum is not a coverage map.
FRC target — pressure balance and kinetic scale
Relations: \(p_{\max} = B_e^2/2\mu_0\), \(x_s = r_s/r_c\), \(\langle\beta\rangle = 1 - x_s^2/2\), \(\langle p\rangle = \langle\beta\rangle p_{\max}\), \(T_e + T_i = \langle p\rangle / (n k_B)\), \(\delta_i = c/\omega_{pi}\), \(S^* = r_s/\delta_i\), \(E = l_s/2r_s\), bound \(S^*/E < 3.5\), \(v_A = B_e/\sqrt{\mu_0 n m_i}\). The split between electron and ion temperature is not modelled; a point inside the bound is ordered, not claimed stable.