On the Stochastic Cahn-Hilliard/Allen-Cahn equation - Isaac Newton ...

Physical interpretation
In the Cahn-Hilliard equation u scaled concentration of an alloy;
−∆u + f (u) models the chemical potential, Neumann BC:
conservation of mass and insulation from outside, F free energy.
The general equation models surface diffusion/adsorption vapor
deposition, catalysis, surface processes involving transport and
chemistry of precursors in a gas phase (unconsumed reactants and
radical absorb so that surface diffusion, or reaction and desorption
back to the gas)
Statistical mechanics Arrhenius adsorption/desorption dynamics,
Metropolis surface diffusion and simple unimolecular reaction;
Simplified mean field mathematical model : Combination of the
Cahn-Hiliard eq. (surface diffusion, particle/particle interaction) and
Allen-Cahn eq. (adsorption to and desorption to surface): mean field
PDE (0 < ɛ