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Ferromagnetic phase transition in Barabási–Albert networks

2001/12/17 by Agata Aleksiejuk, Janusz A. Hołyst, Janusz A. Holyst +1 · 1 citation
Physics and Astronomy · #Complex Network Analysis Techniques #Opinion Dynamics and Social Influence #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.1016/s0378-4371(02)00740-9

published as Physica A 310, 2002, pp. 260-266 · 8 pages including figures

arxiv created 2001/12/17 · openalex publication_date 2002/07/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

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