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Frustration Effects On Small-World Networks

Author

Listed:
  • PAULO R. A. CAMPOS

    (Departamento de Física Aplicada, Instituto de Física, Gleb Wataghin Universidade Estadual de Campinas, 13083-970, Campinas-SP, Brazil;
    Departamento de Física e Matemática, Universidade Federal Rural de Pernambuco, 52171-900, Recife-PE, Brazil)

  • VIVIANE M. DE OLIVEIRA

    (Departamento de Física Aplicada, Instituto de Física, Gleb Wataghin Universidade Estadual de Campinas, 13083-970, Campinas-SP, Brazil)

  • F. G. BRADY MOREIRA

    (Departamento de Física, Universidade Federal de Pernambuco, 50670-901, Recife-PE, Brazil)

Abstract

We investigate the frustration effects on small-world networks by studying antiferromagnetic Ising model in two dimensions. When the rewiring is constrained to those sites such that the interaction still occurs between spins in distinct sublattices and frustration does not take place, we observe that the system behaves as in previous investigations of ferromagnetic Ising model. However, when the rewiring procedure does not only produce interactions between spins in distinct sublattices, small-world configurations can effectively produce geometrical frustration and we attain a different critical behavior. In the frustrated case, the critical temperature decreases with the augment of the rewiring probability and the magnetic ordering presents two different regimes for low and highp.

Suggested Citation

  • Paulo R. A. Campos & Viviane M. De Oliveira & F. G. Brady Moreira, 2004. "Frustration Effects On Small-World Networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 15(09), pages 1269-1277.
    • Handle: RePEc:wsi:ijmpcx:v:15:y:2004:i:09:n:s0129183104006698
    DOI: 10.1142/S0129183104006698
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