Boolean decision problems with competing interactions on scale-free networks: critical thermodynamics.

@article{Katzgraber2012BooleanDP,
  title={Boolean decision problems with competing interactions on scale-free networks: critical thermodynamics.},
  author={Helmut G. Katzgraber and Katharina Janzen and Creighton K. Thomas},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2012},
  volume={86 3 Pt 1},
  pages={
          031116
        }
}
  • Helmut G. Katzgraber, Katharina Janzen, Creighton K. Thomas
  • Published 2012
  • Physics, Medicine
  • Physical review. E, Statistical, nonlinear, and soft matter physics
  • We study the critical behavior of Boolean variables on scale-free networks with competing interactions (Ising spin glasses). Our analytical results for the disorder-network-decay-exponent phase diagram are verified using Monte Carlo simulations. When the probability of positive (ferromagnetic) and negative (antiferromagnetic) interactions is the same, the system undergoes a finite-temperature spin-glass transition if the exponent that describes the decay of the interaction degree in the scale… CONTINUE READING

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