Microscopic model for the logarithmic size effect on the Curie point in Barabási-Albert networks

Abstract

We found that numbers of fully connected clusters in Barabási-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 $N$.

5 pages, 2 figures

References in corpus (3)

• Ising Model on Networks with an Arbitrary Distribution of Connections
• Ferromagnetic Phase Transition in Barabasi-Albert Networks
• Mean field solution of the Ising model on a Barabasi-Albert network

Cited by in corpus (3)

• Ising model in scale-free networks: A Monte Carlo simulation
• Ising model in clustered scale-free networks
• Phase transitions in Ising model on a Euclidean network