Stable, metastable and unstable states in the mean-field RFIM at T=0

Abstract

We compute the probability of finding metastable states at a given field in the mean-field random field Ising model at T=0. Remarkably, this probability is finite in the thermodynamic limit, even on the so-called ``unstable'' branch of the magnetization curve. This implies that the branch is reachable when the magnetization is controlled instead of the magnetic field, in contrast with the situation in the pure system.

arXiv comment10 pages, 3 figures

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• Hysteresis and complexity in the zero-temperature mean-field RFIM: the soft-spin version
• Critical behavior of a Ginzburg-Landau model with additive quenched noise
• Hysteresis in the zero-temperature random field Ising model on directed random graphs
• An improved Belief Propagation algorithm finds many Bethe states in the random field Ising model on random graphs
• Hysteresis in the Ising model with Glauber dynamics
• Coordination problems on networks revisited: statics and dynamics
• Dynamic behavior of the antiferromagnetically coupled bilayer Ising model