Eur. Phys. J. B 54, 355-368 (2006)
https://doi.org/10.1140/epjb/e2007-00010-2

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

¹ Dept. d'Estructura i Constituents de la Matèria, Universitat de Barcelona, Diagonal 647, Facultat de Física, 08028 Barcelona, Catalonia, Spain
² Laboratoire de Physique Théorique de la Matière Condensée, Université Pierre et Marie Curie, 4 Place Jussieu, 75252 Paris Cedex 05, France

Corresponding author: ^a xit@ecm.ub.es

Received: 5 September 2006
Published online: 13 January 2007

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.