Four-frequency solution in a magnetohydrodynamic Couette flow as a consequence of azimuthal symmetry breaking
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10.1103/PhysRevLett.125.264501
Inclou dades d'ús des de 2022
Cita com:
hdl:2117/357107
Tipus de documentArticle
Data publicació2020-12-31
EditorAmerican Institute of Physics (AIP)
Condicions d'accésAccés obert
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Abstract
The occurrence of magnetohydrodynamic quasiperiodic flows with four fundamental frequencies in differentially rotating spherical geometry is understood in terms of a sequence of bifurcations breaking the azimuthal symmetry of the flow as the applied magnetic field strength is varied. These flows originate from unstable periodic and quasiperiodic states with broken equatorial symmetry, but having fourfold azimuthal symmetry. A posterior bifurcation gives rise to twofold symmetric quasiperiodic states, with three fundamental frequencies, and a further bifurcation to a four-frequency quasiperiodic state which has lost all the spatial symmetries. This bifurcation scenario may be favored when differential rotation is increased and periodic flows with m-fold azimuthal symmetry, m being a product of several prime numbers, emerge at sufficiently large magnetic field.
CitacióGarcia, F. [et al.]. Four-frequency solution in a magnetohydrodynamic Couette flow as a consequence of azimuthal symmetry breaking. "Physical review letters", 31 Desembre 2020, vol. 125, núm. 26, p. 1-8.
ISSN0031-9007
Versió de l'editorhttps://journals.aps.org/prl/abstract/10.1103/PhysRevLett.125.264501
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