Ferromagnetic Phase Transition in Barabasi-Albert Networks
Statistical Mechanics
2009-11-07 v1
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.
Keywords
Cite
@article{arxiv.cond-mat/0112312,
title = {Ferromagnetic Phase Transition in Barabasi-Albert Networks},
author = {Agata Aleksiejuk and Janusz A. Holyst and Dietrich Stauffer},
journal= {arXiv preprint arXiv:cond-mat/0112312},
year = {2009}
}
Comments
8 pages including figures