1999/11/04 by Bruce Boghosian, Bruce M. Boghosian, Carson C. Chow +1 · 26 citations
Computer Science · Mathematics · Physics and Astronomy · #Classical mechanics #Computer science #Granularity #Lagrangian coherent structures #Mathematical physics #Mechanics #Nonlinear Dynamics and Pattern Formation #Physics #Quantum mechanics #Renormalization group #Scale (ratio) #Scale invariance #Statistical physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Universality (dynamical systems) #chao-dyn #cond-mat.dis-nn #cond-mat.soft #cond-mat.stat-mech #nlin.CD #nlin.PS #patt-sol
paper · pdf · doi:10.1103/physrevlett.83.5262
published in Physical Review Letters 83(25), 5262-5265 (American Physical Society) · 4 pages, 3 figures
arxiv created 1999/11/04 · openalex publication_date 1999/12/20 · arxiv updated 2016/08/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The large scale properties of spatiotemporal chaos in the 2D Kuramoto-Sivashinsky equation are studied using an explicit coarse-graining scheme. A set of intermediate equations are obtained which describe interactions between the small scale structures and the hydrodynamic degrees of freedom. Possible forms of the effective large scale hydrodynamics are constructed and examined. Although a number of different universality classes are allowed by symmetry, numerical results support the simplest scenario, that being the Kardar-Parisi-Zhang universality class.