Order-parameter critical exponent of absorbing phase transitions in one-dimensional systems with two symmetric absorbing states

Abstract

Via extensive Monte Carlo simulations along with systematic analyses of corrections to scaling, we estimate the order parameter critical exponent $\beta$ of absorbing phase transitions in systems with two symmetric absorbing states. The value of $\beta$ was conjectured to be $\frac{13}{14}\approx 0.93$ and Monte Carlo simulation studies in the literature have repeatedly reproduced values consistent with the conjecture. In this paper, we systematically estimate $\beta$ by analyzing the effective exponent after finding how strong corrections to scaling are. We show that the widely accepted numerical value of $\beta$ is not correct. Rather, we obtain $\beta =1.020(5)$ from different models with two symmetric absorbing states.

arXiv commentpublished

References in corpus (22)

• Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
• Universality classes in nonequilibrium lattice systems
• Theory of Branching and Annihilating Random Walks
• Field Theory of Branching and Annihilating Random Walks
• Low-density series expansions for directed percolation I: A new efficient algorithm with applications to the square lattice
• Recent advances and open challenges in percolation
• Critical Exponents for Branching Annihilating Random Walks with an Even Number of Offspring
• Langevin description of critical phenomena with two symmetric absorbing states
• One Dimensional Nonequilibrium Kinetic Ising Models with Branching Annihilating Random Walk
• Non-perturbative fixed point in a non-equilibrium phase transition
• The non-equilibrium phase transition of the pair-contact process with diffusion
• Universality Class of Two-Offspring Branching Annihilating Random Walks
• Critical phenomena of nonequilibrium dynamical systems with two absorbing states
• Nonequilibrium Kinetic Ising Models: Phase Transition and Universality Classes in One Dimension
• Critical behavior of roughening transitions in parity-conserving growth processes
• Universality class of the pair contact process with diffusion
• High-precision Estimate of the Critical Exponents for the Directed Ising Universality Class
• Critical decay exponent of the pair contact process with diffusion
• Three different routes from the directed Ising to the directed percolation class
• Order-disorder transition in a model with two symmetric absorbing states
• On the Continuum Time Limit of Reaction-Diffusion Systems
• Order-disorder transition in the two dimensional interacting monomer-dimer model: Ising criticality

Cited by in corpus (1)

• Branching annihilating random walk with long-range repulsion: logarithmic scaling, reentrant phase transitions, and crossover behaviors