Scaling Properties in Large Assemblies of Simple Dynamical Units Driven by Long-Wave Random Forcing

Abstract

Large assemblies of nonlinear dynamical units driven by a long-wave fluctuating external field are found to generate strong turbulence with scaling properties. This type of turbulence is so robust that it persists over a finite parameter range with parameter-dependent exponents of singularity, and is insensitive to the specific nature of the dynamical units involved. Whether or not the units are coupled with their neighborhood is also unimportant. It is discovered numerically that the derivative of the original amplitude field exhibits strong spatial intermittency with multifractal structure.