Nonequilibrium Kinetic Ising Models: Phase Transition and Universality Classes in One Dimension

Abstract

Nonequilibrium kinetic Ising models evolving under the competing effect of spin flips at zero temperature and Kawasaki-type spin-exchange kinetics at infinite temperature T are investigated here in one dimension from the point of view of phase transition and critical behaviour. Branching annihilating random walks with an even number of offspring (on the part of the ferromagnetic domain boundaries), is a decisive process in forming the steady state of the system for a range of parameters, in the family of models considered. A wide variety of quantities characterize the critical behaviour of the system. Results of computer simulations and of a generalized mean field theory are presented and discussed.

23 pages, 10 figures included

Cited by in corpus (18)

• Universality classes in nonequilibrium lattice systems
• Non-perturbative fixed point in a non-equilibrium phase transition
• Critical behaviour of the 1d annihilation fission process 2A->0, 2A->3A
• Critical behavior of an even offspringed branching and annihilating random walk cellular automaton with spatial disorder
• Phase transition of the one-dimensional coagulation-production process
• Oscillating hysteresis in the q-neighbor Ising model
• Multicomponent binary spreading process
• Critical branching-annihilating random walk of two species
• Kinetic Ising models with various single-spin flip dynamics on quenched and annealed random regular graphs
• Crossovers from parity conserving to directed percolation universality
• Cluster mean-field study of the parity conserving phase transition
• The universal behavior of one-dimensional, multi-species branching and annihilating random walks with exclusion
• Short-time Monte Carlo simulation of the majority-vote model on cubic lattices
• Updating schemes in zero-temperature single-spin flip dynamics
• One-dimensional Nonequilibrium Kinetic Ising Models with local spin-symmetry breaking: N-component branching annihilation transition at zero branching rate
• Block renormalization study on the nonequilibrium chiral Ising model
• Order-parameter critical exponent of absorbing phase transitions in one-dimensional systems with two symmetric absorbing states
• Double transitions, non-Ising criticality and critical absorbing phase in an interacting monomer-dimer model on a square lattice: