A Motionless Droplet Melted to Half Its Mass — The Curvature Term Conservative Allen–Cahn Erases
·8 min read
At zero velocity a droplet lost 49.4% of its mass under classical Allen–Cahn. The conservative form held mass to 1e-14 by cancelling one curvature term.
I asked for σ₁₂ = 1.00 and got 0.78 — where an absent phase leaks into the interface in three-component Allen–Cahn
·8 min read
Fixing Σc = 1 with a mean projection in three-component Allen–Cahn lets the absent phase leak into the interface and cuts the realized surface tension by 21.9%. A triple-well penalty closes the gap.
Mobility Up 10×, Interface Width Unchanged — The Anti-Diffusion Term in Conservative Allen–Cahn
·8 min read
Why the anti-diffusion term cancels diffusion exactly, pinning interface width to W rather than to mobility, and where that term enters the LBM equilibrium.