Volume: 18, Issue: 11(2007)
pp. 1765-1773 DOI: 10.1142/S0129183107011728
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Full Text (PDF, 185KB)
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| Title: |
CLUSTERIZATION, FRUSTRATION AND COLLECTIVITY IN RANDOM NETWORKS |
| Author(s): |
ANNA MAŃKA
Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, al. Mickiewicza 30, PL-30059 Kraków, PolandKRZYSZTOF MALARZ
Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, al. Mickiewicza 30, PL-30059 Kraków, PolandKRZYSZTOF KUŁAKOWSKI
Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, al. Mickiewicza 30, PL-30059 Kraków, Poland
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| History: |
Received 23 May 2007
Accepted 7 June 2007
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| Abstract: |
We consider the random Erdös–Rényi network with enhanced clusterization and Ising spins s = ±1 at the network nodes. Mutually linked spins interact with energy J. Magnetic properties of the system that are dependent on the clustering coefficient C are investigated with the Monte Carlo heat bath algorithm. For J > 0 the Curie temperature Tc increases from 3.9 to 5.5 when C increases from almost zero to 0.18. These results deviate only slightly from the mean field theory. For J < 0 the spin-glass phase appears below TSG; this temperature decreases with C, on the contrary to the mean field calculations. The results are interpreted in terms of social systems. |
| Keywords: |
Random networks; phase transitions
PACS numbers:
89.65.-s, 64.90.+b
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