Curie temperature for Small World Ising systems of different dimensions

2005/05/20 by E. Z. Meĭlikhov, E. Z. Meilikhov, R. M. Farzetdinova
Physics and Astronomy · #Complex Network Analysis Techniques #Opinion Dynamics and Social Influence #Theoretical and Computational Physics #cond-mat.dis-nn

paper · pdf · doi:10.1016/j.jmmm.2005.10.072

3 pages, 2 figures

arxiv created 2005/05/20 · openalex publication_date 2005/11/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For Small World Ising systems of different dimensions, "concentration" dependencies T_C(p) of the Curie temperature upon the fraction p of long-range links have been derived on a basis of simple physical considerations. We have found T_C(p) ~ 1/ln|p| for 1D, T_C(p) ~ p^1/2 for 2D, and T_C(p) ~ p^2/3 for 3D.

Citations

• Statistical mechanics of complex networks