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Topological Structure of Electromagnetic Fields in Conducting Fluids
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pix pix Publications of Gunnar Hornig
This page is not updated anymore. Please see MHD Group at Dundee University for more recent publications.

The publications listed are composed according to the rules of Deutsche Forschungsgesellschaft, in particular all authors have contributed to the publication and are responsible for the full content.


  • Hornig, G. and K. Schindler ''The Problem of Magnetic Topology and Reconnection in Relativistic Systems``, Astro. Lett. Comm. 34, 231 (1996)
     
  • Hornig, G. and K. Schindler : ''Magnetic Topology and the Problem of its Invariant Definition``, Phys. Plasmas 3, 781 (1996) (12 pages, ps-file 700k) (gzip-compressed 200k)
     
  • Hornig, G. and L. Rastätter : ''The role of Helicity in the Reconnection Process``, Presentation on the Cospar-Meeting (June 1996), Adv. Space Res. , 19 , 1789 (1997)(4 pages, ps-file 1.2MB) (4 pages, gzip-compressed 267k) (abstract)
     
  • Hornig, G. : ''The Covariant Transport of Electromagnetic Fields and its Relation to Magnetohydrodynamics``, Phys. Plasmas 4(3), 646 (1997)(10 pages, ps-file 470 k) (gzip-compressed 111k)
     
  • Hornig, G.: ''Zur kovarianten Formulierung der magnetischen Rekonnexion``, Thesis, Ruhr-Universität Bochum, 1997.(110 pages,ps-file 7.7 MB) (gzip-compressed 1.5 MB)
     
  • G. Hornig and L. Rastätter, ''The magnetic structure of B<>0-reconnection``, Physica Scripta T 74 , 34 (1998).(6 pages, ps-file 350k) (gzip-compressed 668k)
     
  • L. Rastätter and G. Hornig, ''Simulations of non-stationary Reconnection in Lie-transported electromagnetic fields``, Physica Scripta T 74 , 40 (1998).(6 pages, ps-file 500k) (gzip-compressed 150k)
     
  • Schindler, K., and Hornig, G. Magnetic Reconnection in Encyclopedia of Astronomy and Astrophysics , Don Emerson (Editor) Institute of Physics Publishing, UK (in press).
     
  • Hornig, G., ``The evoluiton of magnetic helicity under reconnection'', in ``Magnetic Helicity in Space and Laboratory Plasmas'', M.R. Brown, R.C. Canfield and A.A. Pevtsov (Editors), Geophysical Monographs Vol . 111, American Geophysical Union, Washington, 157-165 (1999)
     
  • Hornig, G., Topological Constraints on the Relaxation of Complex Magnetic Fields , 9-th European Meeting on Solar Physics "Magnetic Fields and Solar Processes", Firenze, Italy, September 12-18, 1999, ESA SP-448, p. 605
     
  • Titov, V.S., Demoulin, P., and Hornig, G. Quasi-Separatrix Layers: Refined Theory and its Application to Solar Flares 9-th European Meeting on Solar Physics "Magnetic fields and solar processes", Firenze, Italy, September 12-18, 1999
     
  • Titov, V.S., Hornig, G., Magnetohydrodynamic flows sustaining stationary magnetic nulls, Physics of Plasmas 7(9), 3542-3550 (2000)
     
  • Titov, V.S., Hornig, G., Magnetic connectivity of coronal fields: geometrical versus topological description, Adv. Space Res. 29, 1087-1092 (2002)
     
  • Hornig, G., The Geometry of Magnetic and Vortex Reconnection, Quantized Vortex Dynamics and Superfluid Turbulence edited by C.F. Barenghi, R.J. Donnelly and W.F. Vinen, Lecture Notes in Physics 571, Springer-Verlag, 2001,(6 pages, ps-file, gzip-compressed 140kb)
     
  • Hornig, G., The Geometry of Reconnection, in An Introduction to the Geometry and Topology of Fluid Flows ed. by R.L. Ricca, Kluwver 2001.(20 pages, ps-file, gzip-compressed 300 kb)
     
  • Becker, U., Braun, M., Hornig, G., A selfconsistent fluid model of weakly ionized gases, Proceedings of the international conference on phenomena in ionized gases ,17-22 July 2001 Nagoya Japan, Vol.2, edited by Toshio Goto, Nagoya University. (PDF-file)
     
  • Kleimann, J., Hornig, G., Non-ideal MHD Properties of Magnetic Flux Tubes in the Solar Photosphere, Solar Physics 200(1/2), 47-62, (2001)Solar Physics
     
  • Titov, VS., Hornig, G., Demoulin, P., The theory of magnetic connectivity in the corona, J.Geophys. Res. 107(8) (2002) PDF-file .
     
  • Hornig, G., Reconnection in magnetic and vorticity fields, in Tubes, Sheets and Singularities in Fluid Dynamics, Ed.: K. Bajer, Kluwer 2003, p. 133-136.
     
  • Mayer, C., Hornig, G., Higher order topological invariants, in Tubes, Sheets and Singularities in Fluid Dynamics, Ed.: K. Bajer, Kluwer 2003, p. 151-156 .
     
  • Hornig, G., Mayer, C., Towards a third order topological invariant for magnetic fields, J. Phys. A 35, 3945-3959 (2002) PS-file, gzip-compressed
     
  • Tassi, E., Titov, V.S., Hornig, G., Exact solutions for magnetic annihilation in curvilinear geometry, Phys. Lett. A 302, No 5-6, 313-317 (2002)
     
  • Tassi, E., Titov, V.S., Hornig, G., Exact solutions for reconnective annihilation in magnetic configurations with three sources, Phys. Plasmas 10, No 2, 448-453 (2003)
     
  • Priest, E.R., Hornig,G., Pontin, D., On the Nature of Three-Dimensional Magnetic Reconnection, J. Geophys. Res., submitted (2003) PDF-file
     
  • Hornig,G., Priest, E.R., Evolution of magnetic flux in an isolated reconnection process, Physics of Plasmas 10(7), 2712-2721 (2003) PDF-file
     
  • Tassi, E., Titov, V.S., Hornig, G.,New classes of exact solutions for reconnective annihilation , Phys. Lett. A 315 382-388 (2003)

  • Tassi, E., Titov, V.S., Hornig, G.,Exact Solutions for Magnetic Reconnective Annihilation in Curvilinear Geometry, 30th EPS Conference on Contr. Fusion and Plasma Phys., St. Petersburg, 7-11 July 2003 ECA Vol. 27A, P-1.31

  • H.v. Bodecker, Hornig, G., Link-invariants of electromagnetic fields, Phys. Rev.~Lett. 92(3), 030406, 23 Jan 2004 (PDF 200K )

  • Pontin, D.I., Hornig, G., Priest, E.R., Kinematic Reconnection at a Magnetic Null Point: Spine Reconnection , Geophysical and Astrophysical Fluid Dynamics, 89, 407-428 (2004)(Preprint, PDF)

  • Titov, V.S., Tassi, E., Hornig, G., Exact solutions for steady reconnective annihilation: revisited , Physics of Plasmas (accepted) (Preprint, PDF)

  • Pontin, D.I., Hornig, G., Priest, E.R., Kinematic Reconnection at a Magnetic Null Point: Fan aligned current, Geophysical and Astrophysical Fluid Dynamics(accepted)

  • Pontin, D.I., Galsgaard, K., Hornig, G., Priest, E.R., Evolution of magnetic flux in 3D reconnection: full magnetohydrodynamic simulations Physics of Plasmas, (submitted)

  • Wilmot-Smith, A.L., Priest, E.R., Hornig, G Magnetic Diffusion and the Motion of Field Lines, Geophysical and Astrophysical Fluid Dynamics (submitted)

  • Hornig, G., A universal helicity integral , Physical Review Letters (submitted) (Preprint, PDF)

 
 
Last Update: 20.01.2004 | Responsible: G. Hornig