Dynamic scaling and crossover analysis for the Kuramoto-Sivashinsky equation

Abstract

Extensive numerical simulations of the discretized one-dimensional Kuramoto-Sivashinsky interface equation, in conjunction with a detailed crossover analysis, indicate that the large-scale fluctuations of this deterministic chaotic system are described by the noisy Burgers equation. As a consequence of a large effective interfacial tension, the asymptotic behavior is observed only after a long intermediate scaling regime. The skewness of the interfacial fluctuations is found to be a useful probe of the crossover. © 1992 The American Physical Society.