Metastability for Ginzburg Landau type

Nils Berglund

Description

Niveau: Supérieur
Metastability for Ginzburg-Landau-type SPDEs with space-time white noise Nils Berglund MAPMO, Universite d'Orleans CNRS, UMR 6628 and Federation Denis Poisson Collaborators: Florent Barret, Ecole Polytechnique, Palaiseau Bastien Fernandez, CPT, CNRS, Marseille Barbara Gentz, Universite de Bielefeld Bielefeld, 19 November 2009

• configuration space


• transition path


• free energy


• full configuration


• stochastic lattice


• order parameter


• µ?


• supersaturated gas


• gibbs measure

Sujets

• Barret
• Poisson
• Berglund
• École polytechnique
• Olivieri
• Fernández
• Cambridge University
• Configuration space
• Free energy

Informations

• Publié par: chaeh
• Nombre de lectures: 10
• Langue: English

Extrait

Metastability for Ginzburg-Landau-type

SPDEs

with space-time white noise

Nils Berglund MAPMO,Universit´ed’Orl´eans CNRS,UMR6628andFe´de´rationDenisPoisson www.univ-orleans.fr/mapmo/membres/berglund

Collaborators: Florent Barret , Ecole Polytechnique, Palaiseau Bastien Fernandez , CPT, CNRS, Marseille Barbara Gentz ,Universit´edeBielefeld

Bielefeld, 19 November 2009

Metastability in

Examples:

•

•

•

Supercooled

physics

liquid

Supersaturated gas

Wrongly

magnetised

ferromagnet

1

Metastability in physics

Examples:

• Supercooled liquid • Supersaturated gas • Wrongly magnetised ferromagnet

. Near first-order phase transition . Nucleation implies crossing energy

barrier

1-a

Metastability in stochastic lattice models

.aLttice:Λ⊂⊂

Z d . Configuration space: X = S Λ , S finite set (e.g. {− 1 , 1 } ) . Hamiltonian: H : X → R (e.g. Ising or lattice gas) . Gibbs measure: µ β ( x ) = e − βH ( x ) /Z β . Dynamics: Markov chain with invariant measure µ β (e.g. Metropolis: Glauber or Kawasaki)

2