CLUSTERIZATION, FRUSTRATION AND COLLECTIVITY IN RANDOM NETWORKS

Anna Mańka, Krzysztof Malarz and Krzysztof Kułakowski ()
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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

International Journal of Modern Physics C (IJMPC), 2007, vol. 18, issue 11, 1765-1773

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

Keywords: Random networks; phase transitions; 89.65.-s; 64.90.+b (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1142/S0129183107011728

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