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Dynamique vitreuse : de l'espace de phases à l'espace réel

Abstract : This thesis deals with phase space and real space description of glassy dynamics, using simple models and emphasizing the connections between both kinds of descriptions. We first study some properties of phase space glassy dynamics, like a crossover from entropic to activated regimes, or dynamic ultrametricity. In the case where the system is constrained to move between potential energy minima forming a one dimensional network, one also observes anomalous diffusion, dynamical localization, subaging behaviour and non linear response. In order to draw a link between phase space and real space description, the spatial structure of potential energy minima is characterized in a one dimensional disordered model, leading to a characteristic length scale which increases when lowering temperature. In addition, we find evidence for a length scale associated to dynamical heterogeneities in a non-disordered model with kinetic constraints. Finally, some of these notions are illustrated through the study of a memory effect (the ``Kovacs effect''), which corresponds to a non monotonic behaviour of the volume (or of the energy) just after a temperature shift.
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Contributor : Eric Bertin <>
Submitted on : Tuesday, December 5, 2006 - 5:14:55 PM
Last modification on : Friday, March 5, 2021 - 3:05:44 PM
Long-term archiving on: : Tuesday, April 6, 2010 - 11:51:50 PM


  • HAL Id : tel-00118607, version 1



Eric Bertin. Dynamique vitreuse : de l'espace de phases à l'espace réel. Analyse de données, Statistiques et Probabilités []. Université Paris-Diderot - Paris VII, 2003. Français. ⟨tel-00118607⟩



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