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Aging In A One-Dimensional Edwards–Anderson Spin Glass Model With Long-Range Interactions

Author

Listed:
  • MARCELO A. MONTEMURRO

    (Universidad Nacional de Córdoba, FaMAF, Córdoba, Córdoba 5000, Argentina)

  • FRANCISCO A. TAMARIT

    (Universidad Nacional de Córdoba, FaMAF, Córdoba, Córdoba 5000, Argentina)

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 limitα → 0we recover the well known Sherrington–Kirkpatrick mean-field version of the model, which presents a very complex dynamical behavior. At the other extreme, forα → ∞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 ofα = 2/3. Our results indicate that the crossover to the dynamic mean-field occurs at a value of α

Suggested Citation

  • Marcelo A. Montemurro & Francisco A. Tamarit, 2003. "Aging In A One-Dimensional Edwards–Anderson Spin Glass Model With Long-Range Interactions," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(03), pages 257-265.
    • Handle: RePEc:wsi:ijmpcx:v:14:y:2003:i:03:n:s0129183103004449
    DOI: 10.1142/S0129183103004449
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