Nucleation for a long range magnetic model
type: Item
instance of: scholarly article
title: Nucleation for a long range magnetic model
zbMATH Open document ID: 0633.60110
author: Francis Comets
published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques
publication date: 1987-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/77295
review text: The paper describes the evolution of a dynamical magnetic model with long-range interaction in the limit of infinitely many spins. Large deviation results are established by means of an action functional. This action functional is minimal along the McKean-Vlasov path, governed by the asymptotic evolution equation. The quasi-potential corresponding to the action functional is set in relation to the free energy functional for the Gibbs states. This allows to describe the onset of nucleation which appears at the dynamical transition from one equilibrium state to another [see also \textit{D. Dawson} and \textit{J. Gärtner}: Large deviations, free energy functional and quasi-potential for a mean field model of interacting diffusions. Preprint (1987)].
Mathematics Subject Classification ID: 60K35
zbMATH DE Number: 4030683
zbMATH Keywords: dynamical magnetic model with long-range interaction
zbMATH Keywords: infinitely many spins
zbMATH Keywords: Large deviation results
zbMATH Keywords: McKean-Vlasov path
zbMATH Keywords: free energy functional for the Gibbs states
zbMATH Keywords: interacting diffusions
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4030683