Ostwald Ripening

LSW coarsening theory: large droplets grow at the expense of small ones

Parameters

Statistics

Droplets: —
⟨R⟩ = —
⟨R⟩³ = —
t = —

LSW Theory

Lifshitz–Slyozov–Wagner (1961): In the late-stage coarsening of a two-phase mixture, the mean droplet radius grows as:

⟨R⟩³ ∝ t

driven by the Gibbs–Thomson effect: small droplets have higher internal pressure (Δp = 2γ/R), dissolving in favor of large droplets. The LSW distribution is universal — a self-similar scaled shape regardless of initial conditions.