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Hysteresis behavior of the random-field Ising model with 2-spin-flip dynamics: exact results on a Bethe lattice

Author

Listed:
  • X. Illa
  • M.-L. Rosinberg
  • G. Tarjus

Abstract

We present an exact treatment of the hysteresis behavior of the zero-temperature random-field Ising model on a Bethe lattice when it is driven by an external field and evolved according to a 2-spin-flip dynamics. We focus on lattice connectivities z=2 (the one-dimensional chain) and z=3. For the latter case, we demonstrate the existence of an out-of-equilibrium phase transition, in contrast with the situation found with the standard 1-spin-flip dynamics. We discuss the influence of the degree of cooperativity of the (local) spin dynamics of the nonequilibrium response on the system. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Suggested Citation

  • X. Illa & M.-L. Rosinberg & G. Tarjus, 2006. "Hysteresis behavior of the random-field Ising model with 2-spin-flip dynamics: exact results on a Bethe lattice," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 54(3), pages 355-368, December.
    • Handle: RePEc:spr:eurphb:v:54:y:2006:i:3:p:355-368
    DOI: 10.1140/epjb/e2007-00010-2
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