Physics – Fluid Dynamics
Scientific paper
2006-07-02
Physics
Fluid Dynamics
4 pages, 10 figures
Scientific paper
10.1103/PhysRevLett.97.124501
The eigenfunctions of nested wells with incommensurate boundary geometry, in both hydrodynamic shallow water regime and quantum cases, are systematically and exhaustively studied in this letter. The boundary arrangement of the nested wells consist of polygonal ones, square or hexagonal, with a concentric immersed similar but rotated well or plateau. A rich taxonomy of wave patterns, such as quasicrystalline states, their crystalline rational approximants and some other exotic but well known tilings, is found in these mimicked experiments. To our best knowledge, these hydrodynamic rational approximants are presented here for the first time in a hydrodynamic-quantum framework. The corresponding statistical nature of the energy level spacing distribution reflects this taxonomy by changing the spectral types.
Aragón J. L.
Bazan Alain
Chiappe Guillermo
Louis Enrique
Miralles Juan A.
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