Special Session 16: 

Stochastic motion of droplets in the Cahn-Hilliard equation

Dirk Bl"omker
Universit"at Augsburg
Germany
Co-Author(s):    Alexander Schindler (Augsburg)
Abstract:
We study the stochastic Cahn-Hilliard equation, which is a model describing the phase separation and subsequent coarsening of binary alloys. In the nucleation regime almost spherical droplets appear, and we approximate the infinite dimensional stochastic dynamics of these droplets by the motion along a finite dimensional slow manifold. The main results are effective equations (given by stochastic ordinary differential equations) on the slow manifold and the stochastic stability of the manifold.