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

X. Illa (), M.-L. Rosinberg and G. Tarjus

The European Physical Journal B: Condensed Matter and Complex Systems, 2006, vol. 54, issue 3, 355-368

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

Keywords: 75.60.Ej; 05.50.+q Lattice theory and statistics (Ising; Potts; etc.); 75.10.Nr Spin-glass and other random models; 75.40.Mg Numerical simulation studies (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1140/epjb/e2007-00010-2

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