Séminaire OrléansMetastability for the Ginzburg-Landau equation with space-time white noise
Barbara Gentz (Bielefeld)
Thursday 11 March 2010 14:00 - Orléans - Salle de Séminaire
We consider a Ginzburg-Landau partial differential equation in a bounded interval, perturbed by weak space-time white noise. As the length of the interval increases, a transition between activation regimes occurs. Consequently, the classical Kramers formula for the expected transition time between metastable states breaks down. We will show how recent results by Bovier, Eckhoff, Gayrard and Klein, providing the first rigorous proof of the Eyring-Kramers formula, can be extended to this degenerate and infinite-dimensional setting in order to derive the subexponential asymptotics of the transition time at the critical interval length. This is joint work with Florent Barret (Palaiseau) and Nils Berglund (Orléans).