The metriplectic vortex-gas model (metriplectic_vortex.py)

Energy-consistent reduced model E=I-aν E-bE with steady state E_★=I/(aν+b), giving exact budget closure ε_ν+ε_bind=I and saturation ε_bind→ I as ν→0. Finite vortex number enters through ensemble scatter of the stochastic event channel.

)} Energy-consistent reduced model E=I-aν E-bE with steady state E_★=I/(aν+b), giving exact budget closure ε_ν+ε_bind=I and saturation ε_bind→ I as ν→0. Finite vortex number enters through ensemble scatter of the stochastic event channel.

)} Energy-consistent reduced model $\dot E=I-a\nu E-bE$ with steady state $E_\star=I/(a\nu+b)$ , giving exact budget closure $\eps_\nu+\eps_{\rm bind}=I$ and saturation $\eps_{\rm bind}\to I$ as $\nu\to0$ . Finite vortex number enters through ensemble scatter of the stochastic event channel. The reduced form is used because the mean-field budget is the rigorous core of Pillar IV; the stronger microscopic flux-carrying statement is the gate. Full source is shipped as metriplectic_vortex.py.