title: New coarse-grained derivation of a phase field model for precipitation.
abstract: We present the first derivation of the phase field equations using a coarse-graining procedure on a microscopic master equation. The procedure leads to a mesoscopic nonlinear Fokker-Planck equation equivalent to a Cahn-Hilliard equation supplemented with a noise, but with specific prescriptions for the mobilities and the noise term. All the ingredients (chemical potentials, mobilities, stiffness coefficient) depend on the coarse-graining size. Finally, we show the ability of the phase field equations to describe a precipitation kinetics involving a nucleation and growth mechanism.
authors.affiliation: Laboratoire d'Etude des Microstructures, ONERA-CNRS 29, avenue de la Division Leclerc BP 72, 92322 Chatillon Cedex, France.
authors.forename: Q
authors.initials: Q
authors.lastname: Bronchart
authors.forename: Y
authors.initials: Y
authors.lastname: Le Bouar
authors.forename: A
authors.initials: A
authors.lastname: Finel