12 citations · 33 across the 6 of their papers we have counts for
6 papers
1D Cahn-Hilliard dynamics : coarsening and interrupted coarsening
Simon Villain-Guillot
Many systems exhibit a phase where the order parameter is spatially modulated. These patterns can be the result of a frustration caused by the competition between interaction force…
Offsprings of a point vortex
Xavier Leoncini, Alain Barrat, Christophe Josserand +1
The distribution engendered by successive splitting of one point vortex are considered. The process of splitting a vortex in three using a reverse three-point vortex collapse cours…
1D Cahn-Hilliard equation: Ostwald ripening and modulated phase systems
Simon Villain-Guillot
Using an approximate analytical solution of the Cahn-Hilliard equation describing the coalescence during a first order phase transition, we compute the characteristic time for one…
Coalescence in the 1D Cahn-Hilliard model
Simon Villain-Guillot
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 intermediat…
Non-linear growth of periodic patterns
Simon Villain-Guillot, Christophe Josserand
We study the growth of a periodic pattern in one dimension for a model of spinodal decomposition, the Cahn-Hilliard equation. We particularly focus on the intermediate region, wher…
Interfaces and Grain Boundaries of Lamellar Phases
Simon Villain-Guillot, Roland R. Netz, David Andelman +1
Interfaces between lamellar and disordered phases, and grain boundaries within lamellar phases, are investigated employing a simple Landau free energy functional. The former are ex…