“The droplet-to-slab transition always follows a similar mechanism to its equilibrium counterpart, but the reverse (slab-to-droplet) transition depends on rare non-equilibrium fluctuations.”

“The resulting augmented excess free-energy functional quantitatively reproduces equilibrium density profiles, coexistence curves, and surface tensions across a broad temperature range, and accurately predicts contact angles and droplet shapes far beyond the training regime.”

“The study reveals a transition from a single axisymmetric vortex ring to azimuthally unstable, multi-vortex structures as film thickness decreases.”

“The framework employs a high-accuracy pseudospectral method to solve the fully coupled advection diffusion Stokes equations, without prescribing any slip velocity model.”

“The paper develops a comprehensive semi-empirical model for the maximum droplet volume ($Ω$) and validates it against experimental measurements and reference simulations.”

“The article focuses on the emergence of Friedel-like oscillations from Lorenz dynamics in walking droplets.”

“”

“The article's focus is on using parallel droplet microreactors and machine learning.”