A one-dimensional kinetic Ising model with domain wall dynamics corresponding to diffusion-limited annihilation in the presence of particle sources is considered. The spin-spin correlation function Cr is calculated exactly for a nonequilibrium steady state which can be brought close to a critical point of the system. We find that in contrast to equilibrium situations, Cr contains two distinctly diverging correlation lengths ξ1 ≪ ξ2. While scaling appears for r ∼ ξ1, where ξ1 is an equilibrium type correlation length characterizing the cooperativity of the spins, no simple scaling is observed for r ≳ ξ2, where ξ2 is a length closely related to the nonequilibrium kinetics of the system.
ASJC Scopus subject areas
- Physics and Astronomy(all)