Curie Temperature for Small World Ising Systems of Different Dimensions

Details Curie Temperature for Small World Ising Systems of Different Dimensions Curie Temperature for Small World Ising Systems of Different Dimensions

2005-05-20

arxiv.org/abs/cond-mat/0505502v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

3 pages, 2 figures

Scientific paper

10.1016/j.jmmm.2005.10.072

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.

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