Defects in roll-hexagon competition
- 5 November 1990
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 65 (19) , 2370-2373
- https://doi.org/10.1103/physrevlett.65.2370
Abstract
The defects of a system where hexagons and rolls are both stable solutions are considered. On the basis of topological arguments we show that the unstable phase is present in the core of the defects. This means that a roll is present in the penta-hepta defect of hexagons and that a hexagon is found in the core of a grain boundary connecting rolls with different orientations. These results are verified in an experiment of thermal convection under non-Boussinesq conditions.Keywords
This publication has 10 references indexed in Scilit:
- Finite-Size Effects in the Transition from Hexagons to Rolls in Convective SystemsEurophysics Letters, 1990
- Defects and subcritical bifurcationsPhysical Review Letters, 1989
- Competition between Different Symmetries in Convective PatternsPhysical Review Letters, 1988
- Initial stages of pattern formation in Rayleigh-Bénard convectionPhysical Review Letters, 1987
- Hexagons and rolls in periodically modulated Rayleigh-Bénard convectionPhysical Review A, 1987
- Bifurcation on the hexagonal lattice and the planar Bénard problemPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1983
- Heat transport and temporal evolution of fluid flow near the Rayleigh-Bénard instability in cylindrical containersJournal of Fluid Mechanics, 1982
- Non Boussinesq convective structures in water near 4 °CJournal de Physique, 1978
- The stability of finite amplitude cellular convection and its relation to an extremum principleJournal of Fluid Mechanics, 1967
- The non-linear interaction of a finite number of disturbances to a layer of fluid heated from belowJournal of Fluid Mechanics, 1965