http://www.cnr.it/ontology/cnr/individuo/prodotto/ID291297
Replica Fourier Transform: Properties and applications (Articolo in rivista)
- Type
- Label
- Replica Fourier Transform: Properties and applications (Articolo in rivista) (literal)
- Anno
- 2015-01-01T00:00:00+01:00 (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
- 10.1016/j.nuclphysb.2014.12.002 (literal)
- Alternative label
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
- A. Crisanti (a,b); C. De Dominicis (c) (literal)
- Pagina inizio
- Pagina fine
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- Available online 4 December 2014. (literal)
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- http://www.sciencedirect.com/science/article/pii/S055032131400371X (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
- Rivista
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
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- (a) Dipartimento di Fisica, Università di Roma \"La Sapienza\" P.le Aldo Moro 2, 00185 Roma, Italy
(b) CNR-ISC, Via dei Taurini 19, 00185 Roma, Italy
(c) IPhT-CEA Sacaly, Ormes des Merisiers, 91191 Gif-sur-Yvette, France (literal)
- Titolo
- Replica Fourier Transform: Properties and applications (literal)
- Abstract
- The Replica Fourier Transform is the generalization of the discrete Fourier Transform to quantities defined on an ultrametric tree. It finds use in conjunction of the replica method used to study thermodynamics properties of disordered systems such as spin glasses. Its definition is presented in a systematic and simple form and its use illustrated with some representative examples. In particular we give a detailed discussion of the diagonalization in the Replica Fourier Space of the Hessian matrix of the Gaussian fluctuations about the mean field saddle point of spin glass theory. The general results are finally discussed for a generic spherical spin glass model, where the Hessian can be computed analytically. (literal)
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- Autore CNR
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