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DY: Dynamik und Statistische Physik

DY 12: Statistical physics of complex networks

DY 12.4: Vortrag

Montag, 24. März 2003, 12:15–12:30, G\"OR/226

Ferromagnetic Phase Transition in a Scale-free Network — •Janusz Holyst^1,2, Agata Fronczak^1,2, and Dietrich Stauffer² — ¹Faculty of Physics and Center of Excellence for Complex Systems Research, Warsaw University of Technology, Koszykowa 75, PL-00-662 Warsaw, Poland — ²Institute for Theoretical Physics, Cologne University, D-50923 Koeln, Germany

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. Mean field calculations for this model are presented.

References. A. Aleksiejuk, J.A. Holyst and D. Stauffer, No-dqFerromagnetic Phase Transition in Barabasi-Albert NetworksNo-dq, PHYSICA A 310 (1-2), 260-266 (2002)