Dynamic states in rotating Rayleigh-Bénard convection systems

[摘要] A new geometry-independent state - a traveling-wave wall state - is proposed asthe mechanism whereby which the experimentally observed wall-localized states inrotating Rayleigh-Bénard convection systems preempt the bulk state at large rotation rates. Its properties are calculated for the illustrative case of free-slip top andbottom boundary conditions. At small rotation rates, this new wall state is foundto disappear. A detailed study of the dynamics of the wall state and the bulk statein the transition region where this disappearance occurs is conducted using a Swift-Hohenbergmodel system. The Swift-Hohenberg model, with appropriate reflection-symmetry-breaking boundary conditions, is also shown to exhibit traveling-wave wallstates, further demonstrating that traveling-wave wall states are a generic feature ofnonequilibrium pattern-forming systems. A numerical code for the Swift-Hohenbergmodel in an annular geometry was written and used to investigate the dynamics ofrotating Rayleigh-Bénard convection systems.

[发布机构] University:California Institute of Technology;Department:Physics, Mathematics and Astronomy

[关键词] Physics