Ferromagnetic phase transition in Barabási–Albert networks

By A. Aleksiejuk, J. Hołyst, Dietrich Stauffer. 2001

171 citations recorded by the source corpus.

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.

Subfields: Condensed Matter Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/691bfdf6bba8c5425f89c0a312b87897b51ee9aa

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In Condensed Matter Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Statistical physics of social dynamics (2007, background): “…are renormalized according to this principle, the Ising model on scale-free networks always has a ferromagnetic threshold, whereas it is known that, with uniform couplings, networks with infinite degree variance are magnetized at any temperature (Aleksiejuk et al., 2002; Leone et al., 2002).”
Network resilience (2020, methodology): “It opened also network analysis to statistical physics, including novel applications of classic Ising model [483, 484, 485] and new network models [2].”
Critical phenomena in complex networks (2007, methodology): “Numerical simulations of the ferromagnetic Ising model on a growing Barabási-Albert scale-free network (Aleksiejuk et al., 2002) demonstrated that the critical temperature Tc increases logarithmically with increasing N : Tc(N) ∼ lnN .”
The Structure and Function of Complex Networks (2003, methodology): “works with the topology of the Barabási–Albert growing network model [18, 51] (Sec VII.”