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Dilute one-dimensional spin glasses with power law decaying interactions (Articolo in rivista)

Type

Label

Dilute one-dimensional spin glasses with power law decaying interactions (Articolo in rivista) (literal)

Anno

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Alternative label

Leuzzi, L; Parisi, G; Ricci-Tersenghi, F; Ruiz-Lorenzo, JJ (2008)
Dilute one-dimensional spin glasses with power law decaying interactions
in Physical review letters (Print)
(literal)

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Pagina inizio

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Rivista

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Note

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\"[Leuzzi, L.; Parisi, G.; Ricci-Tersenghi, F.] Univ Roma La Sapienza, Dipartimento Fis, I-00185 Rome, Italy; [Leuzzi, L.; Parisi, G.] Stat Mech & Complex Ctr SMC INFM CNR, Rome, Italy; [Ruiz-Lorenzo, J. J.] Univ Extremadura, Dept Fis, E-06071 Badajoz, Spain (literal)

Titolo

Dilute one-dimensional spin glasses with power law decaying interactions (literal)

Abstract

We introduce a diluted version of the one-dimensional spin-glass model with interactions decaying in probability as an inverse power of the distance. In this model, varying the power corresponds to changing the dimension in short-range models. The spin-glass phase is studied in and out of the range of validity of the mean-field approximation in order to discriminate between different theories. Since each variable interacts only with a finite number of others the cost for simulating, the model is drastically reduced with respect to the fully connected version, and larger sizes can be studied. We find both static and dynamic indications in favor of the so-called replica symmetry breaking theory. (literal)

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