In this work we study, by means of numerical simulations, the out-of-equilibrium dynamics of the one-dimensional Edwards-Anderson model with long-range interactions of the form ± Jr-α. In the limit α → 0 we recover the well known Sherrington-Kirkpatrick mean-field version of the model, which presents a very complex dynamical behavior. At the other extreme, for α → ∞ the model converges to the nearest-neighbor one-dimensional system. We focus our study on the dependence of the dynamics on the history of the sample (aging phenomena) for different values of α. The model is known to have mean-field exponents already for values of α = 2/3. Our results indicate that the crossover to the dynamic mean-field occurs at a value of α < 2/3.

Montemurro M.A., Tamarit F.A. (2003). Aging in a one-dimensional Edwards-Anderson spin glass model with long-range interactions. INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 14(3), 257-265 [10.1142/S0129183103004449].

Aging in a one-dimensional Edwards-Anderson spin glass model with long-range interactions

Montemurro M. A.
Membro del Collaboration Group
;
2003

Abstract

In this work we study, by means of numerical simulations, the out-of-equilibrium dynamics of the one-dimensional Edwards-Anderson model with long-range interactions of the form ± Jr-α. In the limit α → 0 we recover the well known Sherrington-Kirkpatrick mean-field version of the model, which presents a very complex dynamical behavior. At the other extreme, for α → ∞ the model converges to the nearest-neighbor one-dimensional system. We focus our study on the dependence of the dynamics on the history of the sample (aging phenomena) for different values of α. The model is known to have mean-field exponents already for values of α = 2/3. Our results indicate that the crossover to the dynamic mean-field occurs at a value of α < 2/3.
2003
Montemurro M.A., Tamarit F.A. (2003). Aging in a one-dimensional Edwards-Anderson spin glass model with long-range interactions. INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 14(3), 257-265 [10.1142/S0129183103004449].
Montemurro M.A.; Tamarit F.A.
File in questo prodotto:
Eventuali allegati, non sono esposti

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/770816
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 2
  • ???jsp.display-item.citation.isi??? 2
social impact