Long-range correlations in systems with coherent (quasi)periodic oscillations

Through large-scale simulations of a three-dimensional, deterministic cellular automaton, we demonstrate the existence of algebraic spatial and temporal correlations in nonequilibrium systems that break a continuous time-translation symmetry to produce coherent periodic oscillations. Our results provide the first numerical support for a recent hypothesis that phase fluctuations in such systems are described by the Kardar-Parisi-Zhang equation. The coefficient of the nonlinear term in the equation is determined numerically. © 1995 The American Physical Society.