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Mean field solution of the Ising model on a Barabasi-Albert network | | Ginestra Bianconi
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21 Apr 2002 | | Subject: | Statistical Mechanics; Disordered Systems and Neural Networks | cond-mat.stat-mech cond-mat.dis-nn | | 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. | | Source: | arXiv, cond-mat/0204455 | | Services: | Forum | Review | PDF | Favorites | |
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