Stable, metastable and unstable states in the mean-field random-field Ising model at T=0

M. L. Rosinberg, G. Tarjus, F. J. Perez-Reche

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


We compute the probability distribution of the number of metastable states at a given applied field in the mean-field random-field Ising model at T = 0. Remarkably, there is a non-zero probability in the thermodynamic limit of observing metastable states on the so-called 'unstable' branch of the magnetization curve. This implies that the branch can be reached when the magnetization is controlled instead of the magnetic field, in contrast to the situation for the pure system.

Original languageEnglish
Article numberP10004
Number of pages10
JournalJournal of statistical mechanics-Theory and experiment
Publication statusPublished - Oct 2008


  • energy landsacpes (theory)
  • disordered systems (theory)
  • classical phase transitions theory
  • metastable states

Cite this