About cookies on this site Our websites require some cookies to function properly (required). In addition, other cookies may be used with your consent to analyze site usage, improve the user experience and for advertising. For more information, please review your options. By visiting our website, you agree to our processing of information as described in IBM’sprivacy statement. To provide a smooth navigation, your cookie preferences will be shared across the IBM web domains listed here.
Paper
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.