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Updated: Aug 16, 2025

Evolution of Staircase Structures in Diffusive Convection
Published on: September 5, 2018
Stationary localized solutions in binary convection in slightly inclined rectangular cells
Arantxa Alonso1, Oriol Batiste1, Isabel Mercader1
1Departament de Física, Universitat Politècnica de Catalunya, Mòdul B4, 08034 Barcelona, Spain.
Abstract:
We analyze numerically the effect of a slight inclination in the lowest part of the snaking branches of convectons that are present in negative separation ratio binary mixtures in two-dimensional elongated rectangular cells. The exploration reveals the existence of novel stationary localized solutions with striking spatial features different from those of convectons. The numerical continuation of these solutions with respect to the inclination of the cell unveils the existence of even further families of localized structures that can organize in closed branches. A variety of localized solutions coexist for the same heating and inclination, depicting a highly complex scenario for solutions in the lowest part of the snaking diagrams for moderate to high heating. The different localized solutions obtained in the horizontal cell are discussed in detail.
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