Mean field solution of the Ising model on a Barabasi-Albert network

Abstract

The mean field solution of the Ising model on a Barabasi-Albert scale-free network with ferromagnetic coupling between linked spins is presented. The critical temperature $T_c$ for the ferromagnetic to paramagnetic phase transition (Curie temperature) is infinite and the effective critical temperature for a finite size system increases as the logarithm of the system size in agreement with recent numerical results of Aleksiejuk, Holyst and Stauffer.

6 pages, 1 figure

References in corpus (3)

• Statistical mechanics of complex networks
• Lethality and centrality in protein networks
• Ferromagnetic Phase Transition in Barabasi-Albert Networks

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