Axisymmetric mean field dynamos with dynamic and algebraic $α$--quenchings
Year: 1997
Type: preprint
Abstract: We study axisymmetric mean field spherical and spherical shell dynamo models, with both dynamic and algebraic $α$--quenchings. Our results show that there are qualitative as well as quantitative differences and similarities between these models. Regarding similarities, both groups of models exhibit symmetric, antisymmetric and mixed modes of behaviour. As regards differences, the important feature in the full sphere models is the occurrence of chaotic behaviour in the algebraic $α$--quenching models. For the spherical shell models with dynamic $α$ the main features include the possibility of multi-attractor regimes with final state sensitivity with respect to small changes in the magnitude of $α$ and the initial parity. We find the effect of introducing a dynamic $α$ is likely to be complicated and depend on the region of the parameter space considered, rather than a uniform change towards simplicity or complexity.
Source: arXiv (Cornell University)
Institutions: Queen Mary University of London, Newcastle University
Language: English
Subfield: Molecular Biology
Domain: Life Sciences
Open Access status: green
OpenAlex ID: W4299801895