The non-equilibrium-dissipation module (nonequilibrium_dissipation.py)

Tests the dissipation magnitude law (ledger row IV/C_ε). A developed ns3d.py field (skewness ≈-0.5) is released into free decay (forcing off); along the decay it computes the integral scale L from the spherically-binned energy spectrum, u'=√2E/3, ε=2ν Z, the Taylor microscale λ and Rey_λ=u'λ/ν, and the dissipation coefficient C_ε=ε L/u'³, logging the trajectory C_ε(Rey_λ).

)} Tests the dissipation magnitude law (ledger row IV/C_ε). A developed ns3d.py field (skewness ≈-0.5) is released into free decay (forcing off); along the decay it computes the integral scale L from the spherically-binned energy spectrum, u'=√2E/3, ε=2ν Z, the Taylor microscale λ and Rey_λ=u'λ/ν, and the dissipation coefficient C_ε=ε L/u'³, logging the trajectory C_ε(Rey_λ).

)} Tests the dissipation magnitude law (ledger row IV/ $C_\eps$ ). A developed ns3d.py field (skewness $\approx-0.5$ ) is released into free decay (forcing off); along the decay it computes the integral scale from the spherically-binned energy spectrum, $u'=\sqrt{2E/3}$ , $\eps=2\nu Z$ , the Taylor microscale $\lambda$ and $\Rey_\lambda=u'\lambda/\nu$ , and the dissipation coefficient $C_\eps=\eps L/u'^3$ , logging the trajectory $C_\eps(\Rey_\lambda)$ . In the high- $\Rey_\lambda$ (non-equilibrium) window $C_\eps$ follows the Vassilicos law $\propto\Rey_\lambda^{-1.01\pm0.02}$ at N=96 (well resolved, $k_{\max}\eta>1.3$ ; R^2=0.98 ) and -1.14 at N=64 ; as the decay becomes self-similar the slope flattens to $\approx-0.3$ and $C_\eps$ approaches a plateau ( $\approx1.0$ ) — the $\Pi_L$ event-RG fixed point (\S§5), i.e. the zeroth law. A checkpointed driver (decay.py, analyze_ce.py) reproduces both resolutions; captured output ships with the module.