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Please use this identifier to cite or link to this item: http://hdl.handle.net/2108/483

Title: Fuite de la métastabilité pour dynamiques stochastiques conservatives
Other Titles: Fuga dalla metastabilità per dinamiche stocastiche conservative
Authors: Cerf, Raphael
Olivieri, Enzo
Gaudillière, Alexandre
Keywords: metastability
conservative dynamics
Kawasaki dynamics
nucleation
non-collision probability
potential theory
Issue Date: 13-May-2008
Abstract: We study the escape from metastability for a gas of particles under the conservative Kawasaki dynamics at low temperature and inside a two-dimensional box with exponentially large volume in the inverse temperature. We first analyse the typical trajectories followed by the system, in the local version of the model, during the first transition between metastability and stability. We describe geometrically the configurations along these typical trajectories and we show that the whole evolution goes, with very large probability, from “quasisquares” to larger “quasi-squares” and that the growing cluster of this nucleation process “wanders” around the box which it is contained in. In addition, along these trajectories, the fluctuations of the dimensions of the cluster are bounded: if a rectangle l×L circumscribes one of these clusters then L−l  1+2pL. We show that fluctuations of this order cannot be neglected: they take place with probabilities that are “non exponentially small...
Description: 19. ciclo
URI: http://hdl.handle.net/2108/483
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