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Phys. Rev. Lett. 65, 2370–2373 (1990)

Defects in roll-hexagon competition

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S. Ciliberto, P. Coullet, J. Lega, E. Pampaloni, and C. Perez-Garcia
Istituto Nazionale di Ottica, Largo Enrico Fermi 6, 50125 Firenze, Italy
Laboratoire de Physique Théorique, Université de Nice, Parc Valrose, 06034 Nice CEDEX, France
Department of Mathematics, University of Arizona, Building 89, Tucson, Arizona 85721
Departmento de Fisica, Facultad de Cienciàs, Universidad de Navarra, 31080 Pamplona, Navarra, Spain

Received 7 June 1990; published in the issue dated 5 November 1990

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.

© 1990 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.65.2370
DOI:
10.1103/PhysRevLett.65.2370
PACS:
47.20.Bp, 47.25.Qv