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Depiegeage de varietes elastiques en milieu aleatoire

Abstract : The subject of this work is the study of elastic manifolds in random media. When driven by an external force, these systems exhibit highly non-linear effects. Here I discuss the behavior of the interfaces in the limit of vanishing velocity (depinning). In the first part of this thesis I present the new algorithms which we have developed in order to study the dynamics in the depinning regime. I show that the approaches we have used are rigorous and succeed in determining the exact solution of the problem. The new numerical methods allow to detect exactly the blocked interface at the depinning threshold. The roughness of these objects reveals some universal properties, which I characterize in the second part of this thesis, for many structures of experimental and theoretical interest, as a function of both the space dimension and the elastic interaction range.
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https://tel.archives-ouvertes.fr/tel-00002097
Contributor : Alberto Rosso Connect in order to contact the contributor
Submitted on : Monday, December 9, 2002 - 4:23:48 PM
Last modification on : Wednesday, November 17, 2021 - 12:26:35 PM
Long-term archiving on: : Tuesday, September 11, 2012 - 6:50:32 PM

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  • HAL Id : tel-00002097, version 1

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Alberto Rosso. Depiegeage de varietes elastiques en milieu aleatoire. Analyse de données, Statistiques et Probabilités [physics.data-an]. Université Pierre et Marie Curie - Paris VI, 2002. Français. ⟨tel-00002097⟩

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