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Systèmes hors d'équilibre : persistance et métastabilité

Abstract : This thesis is made of two independent parts, dealing with different aspects of the physics of out of equilibrium systems. In
the first part, we study the statistics of persistent events, that characterize the temporal behavior of many systems such as
coarsening systems. Our approach consists in rephrasing the problem in terms of first return probabilities and occupation
time distributions. More precisely, we obtain exact results for a class of Gaussian Markov processes and for the random
acceleration problem. Generalizing these concepts to systems with kinetic or geometrical constraints allows us to move to
the second part of this thesis. It deals with the study of metastable states in one dimensional Ising models at zero
temperature. We compare the structure of the ensemble of frozen configurations reached dynamically from a disordered
initial condition to that of the associated 'thermodynamical' ensemble à la Edwards.
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Contributor : Marc Gingold Connect in order to contact the contributor
Submitted on : Tuesday, October 8, 2002 - 4:56:34 PM
Last modification on : Wednesday, September 12, 2018 - 2:13:55 PM
Long-term archiving on: : Friday, April 2, 2010 - 6:10:24 PM


  • HAL Id : tel-00001795, version 1



Guillaume de Smedt. Systèmes hors d'équilibre : persistance et métastabilité. Analyse de données, Statistiques et Probabilités []. Ecole Polytechnique X, 2002. Français. ⟨tel-00001795⟩



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