Effect in a Family of Chaotic Flows
- 27 January 2006
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 96 (3) , 034503
- https://doi.org/10.1103/physrevlett.96.034503
Abstract
We perform numerical experiments to calculate the kinematic effect for a family of maximally helical, chaotic flows with a range of correlation times. We find that the value of depends on the structure of the flow, on its correlation time and on the magnetic Reynolds number in a nontrivial way. Furthermore, it seems that there is no clear relation between and the helicity of the flow, contrary to what is often assumed for the parametrization of mean-field dynamo models.
Keywords
This publication has 13 references indexed in Scilit:
- Mean‐field view on rotating magnetoconvection and a geodynamo modelAstronomische Nachrichten, 2005
- Magnetohydrodynamic TurbulencePlasma Physics and Controlled Fusion, 2003
- Kinematic dynamo action in a network of screw motions; application to the core of a fast breeder reactorJournal of Fluid Mechanics, 1999
- Dynamos in weakly chaotic two-dimensional flowsGeophysical & Astrophysical Fluid Dynamics, 1995
- Numerical calculations of fast dynamos in smooth velocity fields with realistic diffusionNature, 1992
- Magnetic field generation by the motion of a highly conducting fluidGeophysical & Astrophysical Fluid Dynamics, 1989
- Fast dynamo action in a steady flowJournal of Fluid Mechanics, 1987
- Dynamo action of fluid motions with two-dimensional periodicityPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1972
- Spatially periodic dynamosPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1970
- Hydromagnetic Dynamo Models.The Astrophysical Journal, 1955