Mean field solution of the Ising model on a Barabasi-Albert network
Statistical Mechanics
2009-11-07 v4 Disordered Systems and Neural Networks
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 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.
Keywords
Cite
@article{arxiv.cond-mat/0204455,
title = {Mean field solution of the Ising model on a Barabasi-Albert network},
author = {Ginestra Bianconi},
journal= {arXiv preprint arXiv:cond-mat/0204455},
year = {2009}
}
Comments
6 pages, 1 figure