1D Cahn-Hilliard Dynamics: Transition Modes and Stability Criteria

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 [1] have proposed a dynamical criterion which leads to final states that don’t correspond to those obtained by minimization of the 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 difference between these criteria.