Curie Temperature for Small World Ising Systems of Different Dimensions
Abstract
For Small World Ising systems of different dimensions, "concentration" dependencies TC(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 TC(p) ~ 1/ln|p| for 1D, TC(p) ~ p1/2 for 2D, and TC(p) ~ p2/3 for 3D.
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