# 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 } }

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

#### Citations

##### Publications citing this paper.

SHOWING 1-3 OF 3 CITATIONS

## Applications of Spin Glasses across Disciplines: From Complex Systems to Quantum Computing and Algorithm Development

VIEW 10 EXCERPTS

CITES BACKGROUND & METHODS

HIGHLY INFLUENCED

#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 52 REFERENCES

## Thermodynamics of the Lévy spin glass.

VIEW 1 EXCERPT

## Uncorrelated random networks.

VIEW 1 EXCERPT

## The phase diagram of Lévy spin glasses

VIEW 1 EXCERPT