We now study the Cahn–Hilliard equation with an extra reaction term,

\[\pd{u}{t} = r\nabla^2 (u^3-u-g\nabla^2u)+u-u^3,\]

with periodic boundary conditions.

  • Load the interactive simulation

  • The initial condition is taken to be random noise at the level of the discretised system, and the initial timescale, given by $r$, is small. Increase $r$ by one or two orders of magnitude to speed up the simulation, and observe the coarsening process as described here.