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

2012/11/30 by Thibault Blanchard, Marco Picco, M. A. Rajabpour
Physics and Astronomy · #Opinion Dynamics and Social Influence #Statistical Mechanics and Entropy #Theoretical and Computational Physics #cond-mat.stat-mech #hep-th

paper · pdf · doi:10.1209/0295-5075/101/56003

published as EPL 101 56003 (2013) · 5 pages, 4 figures, last version

openalex publication_date 2013/03/01 · arxiv created 2013/03/27 · arxiv updated 2014/07/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

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 the 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.

Citations

• Statistical mechanics and dynamics of solvable models with long-range interactions
• Entanglement Entropy beyond the Free Case
• Critical exponents of theN-vector model
• Critical behavior of the Ising model with long range interactions