Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
979474 | Physica A: Statistical Mechanics and its Applications | 2008 | 7 Pages |
Abstract
We derive the exact expression for the zero-field susceptibility of each spin of the Ising model on the scale-free (SF) network having the degree distribution P(k)âkâγ with the Cayley tree-like structure. The system shows that: (i) the zero-field susceptibility of a spin in the interior part diverges below the transition temperature of the SF network with the Bethe lattice-like structure Tc for γ>3, while it diverges at any finite temperature for γâ¤3, and (ii) the surface part diverges below the divergence temperature of the SF network with the Cayley tree-like structure Ts for γ>3, while it diverges at any finite temperature for γâ¤3.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Takehisa Hasegawa, Koji Nemoto,