Critical behavior of the Ising model with long range interactions

preprint2012arXivOpen access

Abstract

We present results of a Monte Carlo study for the ferromagnetic Ising model with long range interactions in two dimensions. This model has been simulated for a large range of interaction parameter σσ and for large sizes. We observe that the results close to the change of regime from intermediate to short range do not agree with the renormalization group predictions.

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