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

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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10 pages, 3 figures

Scientific paper

10.1088/1742-5468/2008/10/P10004

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.

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