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Zero-temperature nonequilibrium dynamics of the spherical Scherrington-Kirkpatrick model of a spin glass in an external field

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Abstract

The decay of the nonequilibrium spin-spin autocorrelation function is calculated analytically and numerically based on the Langevin dynamics for the spherical Scherrington-Kirkpatrick model (p = 2) of a spin glass in a constant magnetic field at zero temperature. The behavior of the spin system is analyzed for different amplitudes of the external constant magnetic field and different waiting times. In the mean-field approximation, the critical value of the external magnetic field is found. The occurrence of the spin-glass phase in weak magnetic fields is demonstrated. For stronger fields, the stationary behavior of the correlation function is revealed.

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Authors and Affiliations

  1. Division of Physical Sciences of Salerno University, Russia

    G. Busiello

  2. Kazan’ State University of Power Engineering, Russia

    E. V. Gazeeva, R. V. Saburova & I. R. Khaibutdinova

Authors
  1. G. Busiello
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  2. E. V. Gazeeva
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  3. R. V. Saburova
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  4. I. R. Khaibutdinova
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Corresponding author

Correspondence to G. Busiello.

Additional information

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 10–16, April, 2007.

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Busiello, G., Gazeeva, E.V., Saburova, R.V. et al. Zero-temperature nonequilibrium dynamics of the spherical Scherrington-Kirkpatrick model of a spin glass in an external field. Russ Phys J 50, 314–322 (2007). https://doi.org/10.1007/s11182-007-0043-2

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  • DOI: https://doi.org/10.1007/s11182-007-0043-2

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