Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2002-06-03
Int. J. Mod. Phys. C 13 (3) pp. 1415-1418 (2002)
Physics
Condensed Matter
Statistical Mechanics
5 pages, 2 figures
Scientific paper
10.1142/S012918310200398X
We found that numbers of fully connected clusters in Barab\'asi-Albert (BA) networks follow the exponential distribution with the characteristic exponent $\kappa=2/m$. The critical temperature for the Ising model on the BA network is determined by the critical temperature of the largest fully connected cluster within the network. The result explains the logarithmic dependence of the critical temperature on the size of the network $N$.
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