2003/12/31 by Simon Villain-Guillot
Computer Science · Materials Science · Physics and Astronomy · #Nonlinear Dynamics and Pattern Formation #Nonlinear Photonic Systems #Solidification and crystal growth phenomena #cond-mat.other
paper · pdf · doi:10.1088/0305-4470/37/27/005
arxiv created 2004/04/02 · openalex publication_date 2004/06/22 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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 constructed a family of ansätze describing continuously the process of destabilization and period doubling predicted in Langer's self-similar scenario (Langer 1971 Ann. Phys., NY 65 53).