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arXiv · 1211.6758

Influence of long-range interactions on the critical behavior of the Ising model

Thibault Blanchard·Marco Picco·M. A. Rajabpour
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Abstract

We study the ferromagnetic Ising model with long-range interactions in two dimensions. We first present results of a Monte Carlo study which shows that the long-range interactions dominate over the short-range ones in the intermediate regime of interaction range. Based on a renormalization group analysis, we propose a way of computing the influence of the long-range interactions as a dimensional change.

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Thibault Blanchard, Marco Picco, M. A. Rajabpour. 2013-03-27. Influence of long-range interactions on the critical behavior of the Ising model. https://doi.org/10.1209/0295-5075%2F101%2F56003

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