Ferromagnetic Phase Transition in Barabasi-Albert Networks

Abstract

Ising spins put onto a Barabasi-Albert scale-free network show an effective phase transition from ferromagnetism to paramagnetism upon heating, with an effective critical temperature increasing as the logarithm of the system size. Starting with all spins up and upon equilibration pinning the few most-connected spins down nucleates the phase with most of the spins down.

8 pages including figures

References in corpus (2)

• Statistical mechanics of complex networks
• Evolution of networks

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