English

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

Statistical Mechanics 2014-07-17 v3 High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.1211.6758,
  title  = {Influence of long-range interactions on the critical behavior of the Ising model},
  author = {Thibault Blanchard and Marco Picco and M. A. Rajabpour},
  journal= {arXiv preprint arXiv:1211.6758},
  year   = {2014}
}

Comments

5 pages, 4 figures, last version