Splitting the voter criticality

Abstract

Recently some two-dimensional models with double symmetric absorbing states were shown to share the same critical behaviour that was called the voter universality class. We show, that for an absorbing-states Potts model with finite but further than nearest neighbour range of interactions the critical point is splitted into two critical points: one of the Ising type, and the other of the directed percolation universality class. Similar splitting takes place in the three-dimensional nearest-neighbour model.

arXiv comment4 pages, eps figures included

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Cited by in corpus (25)

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• Non-perturbative fixed point in a non-equilibrium phase transition
• The non-equilibrium phase transition of the pair-contact process with diffusion
• Systems with two symmetric absorbing states: relating the microscopic dynamics with the macroscopic behavior
• Towards Classification of Phase Transitions in Reaction--Diffusion Models
• Agent Based Models of Language Competition: Macroscopic descriptions and Order-Disorder transitions
• Phase transition and power-law coarsening in Ising-doped voter model
• Universal and non-universal features of the generalized voter class for ordering dynamics
• Unveiling the ZGB model with $CO$ desorption: a single model with two universality classes?
• Nonlinear $q$-voter model from the quenched perspective
• Generalized contact process with two symmetric absorbing states in two dimensions
• Order-disorder transition in a model with two symmetric absorbing states
• Random field disorder at an absorbing state transition in one and two dimensions
• Hidden percolation transition in kinetic replication process
• Critical phenomena in presence of symmetric absorbing states: a microscopic spin model with tunable parameters
• Order-disorder transition in the two dimensional interacting monomer-dimer model: Ising criticality
• Critical behavior in lattice models with two symmetric absorbing state
• Frozen states and active-absorbing phase transitions of the Ising model on networks
• Universality of noise-induced transitions in nonlinear voter models
• Double transitions, non-Ising criticality and critical absorbing phase in an interacting monomer-dimer model on a square lattice:
• Dynamic critical properties of non-equilibrium Potts models with absorbing states
• Heat-Bath and Metropolis Dynamics in Ising-like Models on Directed Regular Random Graphs