We propose and study a renormalization group transformation that can be used also for models with strong quenched disorder, like spin glasses. The method is based on a mapping between disorder distributions, chosen such as to keep some physical properties (e.g., the ratio of correlations averaged over the ensemble) invariant under the transformation. We validate this ensemble renormalization group by applying it to the hierarchical model (both the diluted ferromagnetic version and the spin glass version), finding results in agreement with Monte Carlo simulations. DOI:10.1103/PhysRevB.87.134201

Ensemble renormalization group for disordered systems / Angelini, Maria Chiara; Parisi, Giorgio; RICCI TERSENGHI, Federico. - In: PHYSICAL REVIEW. B, CONDENSED MATTER AND MATERIALS PHYSICS. - ISSN 1098-0121. - STAMPA. - 87:13(2013), pp. 134201-1-134201-7. [10.1103/physrevb.87.134201]

Ensemble renormalization group for disordered systems

ANGELINI, Maria Chiara;PARISI, Giorgio;RICCI TERSENGHI, Federico
2013

Abstract

We propose and study a renormalization group transformation that can be used also for models with strong quenched disorder, like spin glasses. The method is based on a mapping between disorder distributions, chosen such as to keep some physical properties (e.g., the ratio of correlations averaged over the ensemble) invariant under the transformation. We validate this ensemble renormalization group by applying it to the hierarchical model (both the diluted ferromagnetic version and the spin glass version), finding results in agreement with Monte Carlo simulations. DOI:10.1103/PhysRevB.87.134201
2013
01 Pubblicazione su rivista::01a Articolo in rivista
Ensemble renormalization group for disordered systems / Angelini, Maria Chiara; Parisi, Giorgio; RICCI TERSENGHI, Federico. - In: PHYSICAL REVIEW. B, CONDENSED MATTER AND MATERIALS PHYSICS. - ISSN 1098-0121. - STAMPA. - 87:13(2013), pp. 134201-1-134201-7. [10.1103/physrevb.87.134201]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/515420
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