Ma-Dasgupta renormalization studies of various disordered systems

dc.creatorMonthus, Cecile
dc.date2004-06-15
dc.date.accessioned2026-07-07T02:58:38Z
dc.date.available2026-07-07T02:58:38Z
dc.descriptionThe 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.
dc.descriptionHabilitation dissertation, written in french, 131 pages
dc.identifierhttps://arxiv.org/abs/cond-mat/0406334
dc.identifierhttp://arxiv.org/abs/cond-mat/0406334
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/24177
dc.subjectDisordered Systems and Neural Networks
dc.subjectProbability
dc.titleMa-Dasgupta renormalization studies of various disordered systems
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