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Habilitation à diriger des recherches

Renormalisations dans l'espace réel de type Ma-Dasgupta pour divers systèmes désordonnés

Abstract : The Ma-Dasgupta real-space renormalization methods allow to study disordered systems which are governed by strong disorder fixed points. After a general introduction to the qualitative ideas and to the quantitative renormalization rules, we describe the explicit exact results that can be obtained in various one-dimensional models, either classical or quantum, either for dynamics or statics. The main part of this dissertation is devoted to statistical physics models, with special attention to (i) the off-equilibrium dynamics of a particle diffusing in a Brownian potential or in a trap landscape, (ii) the coarsening dynamics and the equilibrium of classical disordered spin chains, (iii) the delocalization transition of a random polymer at an interface. The last part of the dissertation deals with two disordered quantum spin chains which exhibit a zero-temperature phase transition as the disorder varies, namely (a) the random antiferromagnetic $S=1$ spin chain, (b) the random transverse field Ising chain.
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Habilitation à diriger des recherches
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https://tel.archives-ouvertes.fr/tel-00006271
Contributor : Cecile Monthus <>
Submitted on : Tuesday, June 15, 2004 - 12:42:13 PM
Last modification on : Tuesday, December 8, 2020 - 3:38:06 AM
Long-term archiving on: : Friday, April 2, 2010 - 8:18:23 PM

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  • HAL Id : tel-00006271, version 1

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Cécile Monthus. Renormalisations dans l'espace réel de type Ma-Dasgupta pour divers systèmes désordonnés. Analyse de données, Statistiques et Probabilités [physics.data-an]. Université Pierre et Marie Curie - Paris VI, 2004. ⟨tel-00006271⟩

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