Criticality in diluted ferromagnets

@article{Agliari2008CriticalityID,
  title={Criticality in diluted ferromagnets},
  author={Elena Agliari and Adriano Barra and Federico Camboni},
  journal={Journal of Statistical Mechanics: Theory and Experiment},
  year={2008},
  volume={2008},
  pages={P10003}
}
We perform a detailed study of the critical behavior of the mean field diluted Ising ferromagnet using analytical and numerical tools. We obtain self-averaging for the magnetization and write down an expansion for the free energy close to the critical line. The scaling of the magnetization is also rigorously obtained and compared with extensive Monte Carlo simulations. We explain the transition from an ergodic region to a non-trivial phase by commutativity breaking of the infinite volume limit… 
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