Majority-vote model on hyperbolic lattices.

  title={Majority-vote model on hyperbolic lattices.},
  author={Zhi-Xi Wu and Petter Holme},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={81 1 Pt 1},
  • Zhi-Xi Wu, Petter Holme
  • Published 2010
  • Mathematics, Physics, Medicine
  • Physical review. E, Statistical, nonlinear, and soft matter physics
  • We study the critical properties of a nonequilibrium statistical model, the majority-vote model, on heptagonal and dual heptagonal lattices. Such lattices have the special feature that they only can be embedded in negatively curved surfaces. We find, by using Monte Carlo simulations and finite-size analysis, that the critical exponents 1/nu , beta/nu , and gamma/nu are different from those of the majority-vote model on regular lattices with periodic boundary condition, which belongs to the same… CONTINUE READING

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