Coalescence in the 1D Cahn–Hilliard model
Language
en
Article de revue
This item was published in
Journal of Physics A: Mathematical and General (1975 - 2006). 2004-07-09, vol. 37, n° 27, p. 6929-6941
IOP Publishing
English Abstract
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 ...Read more >
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.Read less <
Keywords
Cahn-Hilliard equation
Lamé equation
Coalescence
Solitons Lattice
Non linear dynamics
Origin
Hal imported