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Communication Dans Un Congrès Année : 2015

1D Cahn-Hilliard dynamics : Transition modes and stability criteria

Résumé

The Cahn-Hilliard-Oono equation describes the dynamics of phase separation process of co-polymers alloys and other binary systems. This process is driven by the minimization of the free energy. However the lower energy state in rarely reached and only for particular initial states. Misbah and Politi have proposed a dynamical criterion which leads to …nal states that doesn't correspond to the minimization of free energy. In this article we investigate possible transition modes that may describe the dynamic of "segregation and coalescence" in those systems, in order to understand the di¤erence between these criteria.
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Dates et versions

hal-02457581 , version 1 (28-01-2020)
hal-02457581 , version 2 (04-02-2020)

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Mahdi Mcheik, Simon Villain-Guillot. 1D Cahn-Hilliard dynamics : Transition modes and stability criteria. CCT15 (Conference on Chaos, Complexity and Transport 2015 ), Jun 2015, Marseille, France. ⟨10.1142/9789813202740_0014⟩. ⟨hal-02457581v1⟩
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