Boolean decision problems with competing interactions on scale-free networks: equilibrium and nonequilibrium behavior in an external bias.

@article{Zhu2014BooleanDP,
  title={Boolean decision problems with competing interactions on scale-free networks: equilibrium and nonequilibrium behavior in an external bias.},
  author={Zheng Zhu and Juan Carlos Andresen and Michelle A. Moore and Helmut G. Katzgraber},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2014},
  volume={89 2},
  pages={
          022118
        }
}
  • Zheng Zhu, Juan Carlos Andresen, +1 author Helmut G. Katzgraber
  • Published 2014
  • Physics, Medicine
  • Physical review. E, Statistical, nonlinear, and soft matter physics
  • We study the equilibrium and nonequilibrium properties of Boolean decision problems with competing interactions on scale-free networks in an external bias (magnetic field). Previous studies at zero field have shown a remarkable equilibrium stability of Boolean variables (Ising spins) with competing interactions (spin glasses) on scale-free networks. When the exponent that describes the power-law decay of the connectivity of the network is strictly larger than 3, the system undergoes a spin… CONTINUE READING

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