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We present an approximate analytical solution of the Cahn-Hilliard equationdescribing the coalescence during a first order phase transition. We haveidentified all the intermediate profiles, stationary solutions of the noiselessCahn-Hilliard equation. Using properties of the soliton lattices, periodicsolutions of the Ginzburg-Landau equation, we have construct a family of ansatzdescribing continuously the processus of destabilization and period doublingpredicted in Langer's self similar scenario

Coalescence in the 1D Cahn–Hilliard model