Anodic Alumina Pore Self-Ordering: Top-Down Lattice Dynamics

This 2D companion looks straight down onto the growing anodic oxide layer instead of at an oblique 3D stack. Each pore is a particle whose position continuously relaxes under a spring-like restoring force (the mechanical stress between neighboring pores that drives real self-ordering) fighting a stochastic push whose strength depends on how far the applied voltage sits from the electrolyte's narrow self-ordering window — so hexagonal order is a live, ongoing equilibrium rather than a one-time random jitter. A separate cross-section column on the right shows the oxide thickening in real anodizing time, driven by the same Faraday's-law growth-rate formula as the 3D version. Adjust voltage, electrolyte and current density to watch the lattice tighten into a hexagonal pattern inside the ordering window, or drift into a disordered one outside it.