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Article Dans Une Revue Journal of Physics A: Mathematical and General (1975 - 2006) Année : 2004

Coalescence in the 1D Cahn–Hilliard model

Résumé

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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Dates et versions

hal-00000956 , version 1 (16-12-2003)
hal-00000956 , version 2 (02-04-2004)

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Paternité - Partage selon les Conditions Initiales

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Simon Villain-Guillot. Coalescence in the 1D Cahn–Hilliard model. Journal of Physics A: Mathematical and General (1975 - 2006), 2004, 37 (27), pp.6929-6941. ⟨10.1088/0305-4470/37/27/005⟩. ⟨hal-00000956v2⟩

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