Contact process on a Voronoi triangulation

Abstract

We study the continuous absorbing-state phase transition in the contact process on the Voronoi-Delaunay lattice. The Voronoi construction is a natural way to introduce quenched coordination disorder in lattice models. We simulate the disordered system using the quasistationary simulation method and determine its critical exponents and moment ratios. Our results suggest that the critical behavior of the disordered system is unchanged with respect to that on a regular lattice, i.e., that of directed percolation.

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Cited by in corpus (30)

• Infinite-randomness critical point in the two-dimensional disordered contact process
• Quasi-stationary simulations of the contact process on quenched networks
• Percolation thresholds on 2D Voronoi networks and Delaunay triangulations
• Quasi-stationary analysis of the contact process on annealed scale-free networks
• Rare region effects in the contact process on networks
• Phase Transitions on Random Lattices: How Random is Topological Disorder?
• Griffiths effects of the susceptible-infected-susceptible epidemic model on random power-law networks
• Monte-Carlo simulations of the clean and disordered contact process in three dimensions
• Universality of the contact process with random dilution
• Scale-free network topology and multifractality in weighted planar stochastic lattice
• A violation of the Harris-Barghathi-Vojta criterion
• Continuous and discontinuous absorbing-state phase transitions on Voronoi-Delaunay random lattices
• Universality class of site and bond percolation on multi-multifractal scale-free planar stochastic lattice
• Self-similarity, Aboav-Weaire's and Lewis' laws in weighted planar stochastic lattice
• Two-dimensional Ising model on random lattices with constant coordination number
• Magnetic models on various topologies
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• Numerical evidence against a conjecture on the cover time of planar graphs
• Asynchronous SIR model on Two-Dimensional Quasiperiodic Lattices
• Explosive dismantling of two-dimensional random lattices under betweenness centrality attacks
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