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Ferromagnetic phase transition in Barabási–Albert networks

Author

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  • Aleksiejuk, Agata
  • Hołyst, Janusz A.
  • Stauffer, Dietrich

Abstract

Ising spins put onto a Barabási–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.

Suggested Citation

  • Aleksiejuk, Agata & Hołyst, Janusz A. & Stauffer, Dietrich, 2002. "Ferromagnetic phase transition in Barabási–Albert networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 310(1), pages 260-266.
    • Handle: RePEc:eee:phsmap:v:310:y:2002:i:1:p:260-266
    DOI: 10.1016/S0378-4371(02)00740-9
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    Citations

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    Cited by:

    1. Ikeda, Nobutoshi, 2010. "Impact of initial lattice structures on networks generated by traces of random walks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(16), pages 3336-3347.
    2. Gunter M. Schutz & Fernando Pigeard de Almeida Prado & Rosemary J. Harris & Vladimir Belitsky, 2007. "Short-time behaviour of demand and price viewed through an exactly solvable model for heterogeneous interacting market agents," Papers 0801.0003, arXiv.org, revised Jun 2009.
    3. Schütz, Gunter M. & de Almeida Prado, Fernando Pigeard & Harris, Rosemary J. & Belitsky, Vladimir, 2009. "Short-time behaviour of demand and price viewed through an exactly solvable model for heterogeneous interacting market agents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(19), pages 4126-4144.
    4. Chen, Tao & Shao, Zhi-Gang, 2012. "Power-law accelerating growth complex networks with mixed attachment mechanisms," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(8), pages 2778-2787.
    5. Grabowski, A. & Kosiński, R.A., 2006. "Ising-based model of opinion formation in a complex network of interpersonal interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 361(2), pages 651-664.
    6. Wonseok Oh & Sangyong Jeon, 2007. "Membership Herding and Network Stability in the Open Source Community: The Ising Perspective," Management Science, INFORMS, vol. 53(7), pages 1086-1101, July.

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