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.

10 pages, 3 figures

References in corpus (2)

• Influence of the driving mechanism on the response of systems with athermal dynamics: the example of the random-field Ising model
• The magnetization-driven random field Ising model at T=0

Cited by in corpus (4)

• The T=0 random-field Ising model on a Bethe lattice with large coordination number: hysteresis and metastable states
• An improved Belief Propagation algorithm finds many Bethe states in the random field Ising model on random graphs
• Coordination problems on networks revisited: statics and dynamics
• Dynamic behavior of the antiferromagnetically coupled bilayer Ising model