Localized pinning states in closed containers: Homoclinic snaking without bistability.
Binary mixtures with a negative separation ratio are known to exhibit time-independent spatially localized convection when heated from below. Numerical continuation of such states in a closed two-dimensional container with experimental boundary conditions and parameter values reveals the presence of a pinning region in Rayleigh number with multiple stable localized states but no bistability between the conduction state and an independent container-filling state. An explanation for this unusual behavior is offered.
Departament de Física Aplicada, Universitat Politècnica de Catalunya, 08034 Barcelona, Spain.
Isabel
I
Mercader
Oriol
O
Batiste
Arantxa
A
Alonso
Edgar
E
Knobloch