Cahn-Hilliard Phase Separation L1-328

Materials ScienceConserved order parameter dynamicsδ=5 · challengingL_DAG = 3.5📋 Stub — not mineable

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Unclaimed Principle — open for contribution

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Forward model E

d p hi / d t = L a pl a c ian (M \cdot (df / d p hi - k a pp a \cdot L a pl a c ian (p hi)))

Cahn-Hilliard: gradient flow with conserved composition phi; dphi/dt = div(M * grad(mu)) where mu = -kappa*Laplacian(phi) + df/dphi.

L-DAG

E.chemical_potential -> E.conservative_flux -> D.time -> O.morphology

E.chemical_potentialE.conservative_fluxD.timeO.morphology

Well-posedness W

Existence:: true
Uniqueness:: true
Stability:: conditional
κ:: 350

Fourth-order PDE; well-posed; inversion ill-conditioned (M-chi degeneracy).

Solvability C

Solver class:: Semi-implicit spectral (IMEX); SPH for free-surface; adjoint inversion
Convergence rate q:: 2
Complexity:: principle-dependent

Specs (0)

No L2 specs registered yet for this principle.