Criticality in diluted ferromagnet

Details Criticality in diluted ferromagnet Criticality in diluted ferromagnet

2008-04-28

arxiv.org/abs/0804.4503v1

Physics

Condensed Matter

Statistical Mechanics

23 pages, 3 figures

Scientific paper

10.1088/1742-5468/2008/10/P10003

We perform a detailed study of the critical behavior of the mean field diluted Ising ferromagnet by 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 and a suitable vanishing field. We find full agreement among theory, simulations and previous results.

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