On the connection between the kinetic drumhead model and the Cahn-Hilliard equation in the presence of a gravitational field
The equation of motion for an interface in the presence of a gravitational field is considered, when the order parameter is conserved. The kinetic drumhead model is derived directly from the Cahn-Hilliard equation without recourse to the drumhead free energy. We append a systematic derivation of the drumhead free-energy functional for the interface in a nonuniform external field.