Dependence of magnetic field generation by thermal convection on the rotation rate: A case study

摘要: Abstract Dependence of magnetic field generation on the rotation rate is explored by direct numerical simulation magnetohydrodynamic convective attractors in a plane layer conducting fluid with square periodicity cells for Taylor number varied from zero to 2000, which motion halts (other parameters system are fixed). We observe 5 types hydrodynamic (amagnetic) attractors: two families two-dimensional (i.e. depending spatial variables) rolls parallel sides boxes different widths and diagonal, travelling waves three-dimensional “wavy” rolls. All attractors, except one family rolls, capable kinematic generation. have found 21 distinct nonlinear MHD (13 steady states 8 periodic regimes) identified bifurcations they emerge. In addition, we observed periodic, two-frequency quasiperiodic chaotic regimes, as well an incomplete Feigenbaum period doubling sequence torus followed regime subsequently 1/3 cascade frequency. The highly symmetric. novel global reminiscent SNIC bifurcation, only possible presence symmetries. universally accepted paradigm, whereby increase below certain level beneficial generation, while further inhibits it (and continuing increase), remains unaltered, but demonstrate that this “large-scale” picture lacks many significant details.