Reconnection in magnetic and vorticity fields
- Gunnar Hornig
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Reconnection is an important process of structure formation in fluid dynamics. It occurs in form of vortex reconnection in hydrodynamics as well as in form of magnetic reconnection in plasmas. Two basic types of reconnection are known. The planar two-dimensional reconnection and the more generic, but more complicated three-dimensional case. These two types differ for example with respect to their production of helicity in reconnection.
Simple analytic examples of vortex reconnection are given and compared with corresponding solutions of magnetic reconnection. It is shown that, while for magnetic reconnection two-dimensional stationary solutions exist, vortex reconnection always requires a time-dependent velocity field. This explains why vortex reconnection in spite of all similarities often has a more complicated geometry than magnetic reconnection.
- De Waele, A.T.A.M. & Aarts, R.G.K.M. 1994 Route to vortex reconnection, Phys. Rev. Lett. 72, 482–485. CrossRef
- Hornig, G. 2001a The Geometry of Magnetic and Vortex Reconnection. In Quantized Vortex Dynamics and Superfluid Turbulence (ed. C. F. Barenghi, R. J. Donnelly & W.F. Vinen), Lecture Notes in Physics 571, Springer.
- Hornig, G. 2001b The geometry of reconnection. In Geometry and Topology of Fluid Flows (ed. R. Ricca) Kluwer.
- Kida, S., Takaoka, M. & Hussain, F. 1991 Collision of two vortex rings, J. Fluid Mech. 230, 583–646. CrossRef
- Moffatt, H.K. 1978 Magnetic field generation in electric conducting fluids, Cambridge University Press.
- Reconnection in magnetic and vorticity fields
- Book Title
- Tubes, Sheets and Singularities in Fluid Dynamics
- Book Subtitle
- Proceedings of the NATO RAW held in Zakopane, Poland, 2–7 September 2001, Sponsored as an IUTAM Symposium by the International Union of Theoretical and Applied Mechanics
- Book Part
- pp 133-138
- Print ISBN
- Online ISBN
- Series Title
- Fluid Mechanics and Its Applications
- Series Volume
- Series ISSN
- Springer Netherlands
- Copyright Holder
- Kluwer Academic Publishers
- Additional Links
- eBook Packages
- Editor Affiliations
- 2. Institute of Geophysics, Warsaw University
- 3. Department of Applied Mathematics and Theoretical Physics, University of Cambridge
- Gunnar Hornig (4)
- Author Affiliations
- 4. Theoretische Physik IV, Fakultät für Physik und Astronomie, Ruhr-Universität Bochum, 44780, Bochum, Germany
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