Coalescence in the 1D Cahn-Hilliard model

Details Coalescence in the 1D Cahn-Hilliard model Coalescence in the 1D Cahn-Hilliard model

2003-12-16

arxiv.org/abs/cond-mat/0312398v2

Physics

Condensed Matter

Other Condensed Matter

Scientific paper

10.1088/0305-4470/37/27/005

We present an approximate analytical solution of the Cahn-Hilliard equation describing the coalescence during a first order phase transition. We have identified all the intermediate profiles, stationary solutions of the noiseless Cahn-Hilliard equation. Using properties of the soliton lattices, periodic solutions of the Ginzburg-Landau equation, we have construct a family of ansatz describing continuously the processus of destabilization and period doubling predicted in Langer's self similar scenario.

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