Susceptibility of the Ising model on the scale-free network with a Cayley tree-like structure

Takehisa Hasegawa and Koji Nemoto

Physica A: Statistical Mechanics and its Applications, 2008, vol. 387, issue 5, 1404-1410

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)∝k−γ 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 γ≤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 γ≤3.

Keywords: Networks; Scale-free networks; Cayley tree; Ising model; Magnetic susceptibility (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:387:y:2008:i:5:p:1404-1410

DOI: 10.1016/j.physa.2007.10.041

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