Ferromagnetic Phase Transition in Barabasi-Albert Networks

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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8 pages including figures

Scientific paper

10.1016/S0378-4371(02)00740-9

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.

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