Volume 101, Number 5, March 2013
|Number of page(s)||5|
|Section||Condensed Matter: Structural, Mechanical and Thermal Properties|
|Published online||14 March 2013|
Influence of long-range interactions on the critical behavior of the Ising model
1 CNRS, LPTHE, Université Pierre et Marie Curie, UMR 7589 - 4 place Jussieu, 75252 Paris cedex 05, France, EU
2 SISSA and INFN, Sezione di Trieste - via Bonomea 265, 34136 Trieste, Italy, EU
3 Instituto de Física de São Carlos, Universidade de São Paulo - Caixa Postal 369, 13560-590, São Carlos, SP, Brazil
Received: 14 December 2012
Accepted: 13 February 2013
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.
PACS: 64.60.F- – Equilibrium properties near critical points, critical exponents / 75.10.Hk – Classical spin models / 05.10.Cc – Renormalization group methods
© EPLA, 2013
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