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

Ginestra Bianconi
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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.

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Ginestra Bianconi. 2002-09-17. Mean field solution of the Ising model on a Barabasi-Albert network. https://doi.org/10.1016/s0375-9601(02)01232-x

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