Frustration and collectivity in spatial networks

  • Authors:

  • Anna Mańka-Krasoń;Krzysztof Kułakowski

  • Affiliations:

  • Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, Kraków, Poland;Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, Kraków, Poland

  • Venue:
  • PPAM'09 Proceedings of the 8th international conference on Parallel processing and applied mathematics: Part II
  • Year:
  • 2009

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Abstract

In random networks decorated with Ising spins, an increase of the density of frustrations reduces the transition temperature of the spin-glass ordering. This result is in contradiction to the Bethe theory. Here we investigate if this effect depends on the small-world property of the network. The results on the specific heat and the spin susceptibility indicate that the effect appears also in spatial networks.