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

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

2002-04-21

arxiv.org/abs/cond-mat/0204455v4

Physics

Condensed Matter

Statistical Mechanics

6 pages, 1 figure

Scientific paper

10.1016/S0375-9601(02)01232-X

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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