Blume-Capel model on directed and undirected Small-World Voronoi-Delaunay random lattices

Abstract

The critical properties of the spin-1 two-dimensional Blume-Capel model on directed and undi- rected random lattices with quenched connectivity disorder is studied through Monte Carlo simulations. The critical temperature, as well as the critical point exponents are obtained. For the undi- rected case this random system belongs to the same universality class as the regular two-dimensional model. However, for the directed random lattice one has a second-order phase transition for q < qc and a first-order phase transition for q > qc, where qc is the critical rewiring probability. The critical exponents for q < qc was calculated and they do not belong to the same universality class as the regular two-dimensional ferromagnetic model.

7 pages 13 figures

References in corpus (1)

• Strong Violation of Critical Phenomena Universality: Wang-Landau Study of the 2d Blume-Capel Model under Bond Randomness

Cited by in corpus (11)

• Cooperation in the snowdrift game on directed small-world networks under self-questioning and noisy conditions
• First-order transitions and thermodynamic properties in the 2D Blume-Capel model: the transfer-matrix method revisited
• Nonequilibrium Zaklan model on Apollonian Networks
• Monte Carlo studies of the Blume-Capel model on nonregular two- and three-dimensional lattices: Phase diagrams, tricriticality, and critical exponents
• Dynamic phase diagrams of the Blume-Capel model in an oscillating field by the path probability method
• Two-dimensional Ising model on random lattices with constant coordination number
• Magnetic models on various topologies
• A 3-states magnetic model of binary decisions in sociophysics
• Three-state Potts model on Non-local Directed Small-World Lattices
• Potts model with q=3 and 4 states on directed Small-World network
• Ising-like models on Euclidean black holes