2001/07/14 by Olga Podvigina, Olga M. Podvigina, Podvigina, Olga M.
Biochemistry, Genetics and Molecular Biology · Earth and Planetary Sciences · Physics and Astronomy · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Geomagnetism and Paleomagnetism Studies #Geophysics (physics.geo-ph) #Geophysics and Gravity Measurements #Solar and Space Plasma Dynamics #physics.flu-dyn #physics.geo-ph
paper · pdf · doi:10.48550/arxiv.physics/0107029
version 3: 35 pages, 16 figures; substantial changes, 1 figure added, some corrections, more references
openalex publication_date 2001/07/14 · arxiv created 2003/02/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We are investigating numerically the non-linear behavior of a space-periodic MHD system with ABC forcing. Most computations are performed for magnetic Reynolds numbers increasing from 0 to 60 and a fixed kinematic Reynolds number, small enough for the trivial solution with a zero magnetic field to be stable to velocity perturbations. At the critical magnetic Reynolds number for the onset of instability of the trivial solution the dominant eigenvalue of the kinematic dynamo problem is real. In agreement with the bifurcation theory new steady states with non-vanishing magnetic field appear in this bifurcation. Subsequent bifurcations are investigated. A regime is detected, where chaotic variations of the magnetic field orientation (analogous to magnetic field reversals) are observed in the temporal evolution of the system.