Hierarchical pinning model with site disorder: Disorder is marginally relevant

Abstract : We study a hierarchical disordered pinning model with site disorder for which, like in the bond disordered case [5, 8], there exists a value of a parameter b (enters in the definition of the hierarchical lattice) that separates an irrelevant disorder regime and a relevant disorder regime. We show that for such a value of b the critical point of the disordered system is different from the critical point of the annealed version of the model. The proof goes beyond the technique used in [8] and it takes explicitly advantage of the inhomogeneous character of the Green function of the model.
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Preprints, Working Papers, ...
12 pages, 1 figure. 2008
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https://hal.archives-ouvertes.fr/hal-00356343
Contributor : Hubert Lacoin <>
Submitted on : Tuesday, January 27, 2009 - 12:03:04 PM
Last modification on : Monday, May 29, 2017 - 2:26:54 PM

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  • HAL Id : hal-00356343, version 1
  • ARXIV : 0807.4864

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Hubert Lacoin. Hierarchical pinning model with site disorder: Disorder is marginally relevant. 12 pages, 1 figure. 2008. 〈hal-00356343〉

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