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Clusterization, Frustration And Collectivity In Random Networks

Author

Listed:
  • ANNA MAŃKA

    (Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, al. Mickiewicza 30, PL-30059 Kraków, Poland)

  • KRZYSZTOF MALARZ

    (Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, al. Mickiewicza 30, PL-30059 Kraków, Poland)

  • KRZYSZTOF KUŁAKOWSKI

    (Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, al. Mickiewicza 30, PL-30059 Kraków, Poland)

Abstract

We consider the random Erdös–Rényi network with enhanced clusterization and Ising spinss = ±1at the network nodes. Mutually linked spins interact with energyJ. Magnetic properties of the system that are dependent on the clustering coefficientCare investigated with the Monte Carlo heat bath algorithm. ForJ > 0the Curie temperatureTcincreases from 3.9 to 5.5 whenCincreases from almost zero to 0.18. These results deviate only slightly from the mean field theory. ForJ

Suggested Citation

  • Anna Mańka & Krzysztof Malarz & Krzysztof Kułakowski, 2007. "Clusterization, Frustration And Collectivity In Random Networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(11), pages 1765-1773.
    • Handle: RePEc:wsi:ijmpcx:v:18:y:2007:i:11:n:s0129183107011728
    DOI: 10.1142/S0129183107011728
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