Extensive Chaos in Rayleigh-Benard Convection

TitleExtensive Chaos in Rayleigh-Benard Convection
Publication TypeJournal Article
Year of Publication2007
AuthorsPaul, MR, Einarsson, MI, Fischer, PF, Cross, MC
Other NumbersANL/MCS-P1393-0207
AbstractUsing large-scale numerical calculations we explore spatiotemporal chaos in Rayleigh-Benard convection for experimentally relevant conditions. We calculate the spectrum of Lyapunov exponents and the Lyapunov dimension describing the chaotic dynamics of the convective fluid layer at constant thermal driving over a range of finite system sizes. Our results reveal that the dynamics of fluid convection is truly chaotic for experimental conditions as illustrated by a positive leading order Lyapunov exponent. We also find the chaos to be extensive over the range of finite sized systems investigated as indicated by a linear scaling between the Lyapunov dimension of the chaotic attractor and the system size.