Critical behavior in lattice models with two symmetric absorbing state

Abstract

We analyze nonequilibrium lattice models with up-down symmetry and two absorbing states by mean-field approximations and numerical simulations in two and three dimensions. The phase diagram displays three phases: paramagnetic, ferromagnetic and absorbing. The transition line between the first two phases belongs to the Ising universality class and between the last two, to the direct percolation universality class. The two lines meet at the point describing the voter model and the size $\ell$ of the ferromagnetic phase vanishes with the distance $\epsilon$ to the voter point as $\ell \sim \epsilon$, with possible logarithm corrections in two dimensions.

References in corpus (5)

• Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
• Langevin description of critical phenomena with two symmetric absorbing states
• Systems with two symmetric absorbing states: relating the microscopic dynamics with the macroscopic behavior
• Splitting the voter criticality
• Order-disorder transition in a model with two symmetric absorbing states

Cited by in corpus (4)

• Unveiling the ZGB model with $CO$ desorption: a single model with two universality classes?
• Critical phenomena in presence of symmetric absorbing states: a microscopic spin model with tunable parameters
• Heat-Bath and Metropolis Dynamics in Ising-like Models on Directed Regular Random Graphs
• Dynamic critical properties of non-equilibrium Potts models with absorbing states