A generalized flux function for three-dimensional magnetic reconnection

Yeates, A. R.; Hornig, G.
October 2011
Physics of Plasmas;Oct2011, Vol. 18 Issue 10, p102118
Academic Journal
The definition and measurement of magnetic reconnection in three-dimensional magnetic fields with multiple reconnection sites is a challenging problem, particularly in fields lacking null points. We propose a generalization of the familiar two-dimensional concept of a magnetic flux function to the case of a three-dimensional field connecting two planar boundaries. In this initial analysis, we require the normal magnetic field to have the same distribution on both boundaries. Using hyperbolic fixed points of the field line mapping, and their global stable and unstable manifolds, we define a unique flux partition of the magnetic field. This partition is more complicated than the corresponding (well-known) construction in a two-dimensional field, owing to the possibility of heteroclinic points and chaotic magnetic regions. Nevertheless, we show how the partition reconnection rate is readily measured with the generalized flux function. We relate our partition reconnection rate to the common definition of three-dimensional reconnection in terms of integrated parallel electric field. An analytical example demonstrates the theory and shows how the flux partition responds to an isolated reconnection event.


Related Articles

  • MAGNETIC RECONNECTION IN A CANOPY-TYPE MAGNETIC CONFIGURATION FOR SOLAR MICROFLARES. Jiang, R. -L.; Fang, C.; Chen, P. -F. // EAS Publications Series;2012, Vol. 55, p107 

    We performed 2.5D compressible resistive MHD simulations of magnetic reconnection with gravity considered. The background magnetic field is a canopy-type configuration which is rooted at the boundary of the solar supergranule. By changing the bottom boundary conditions in the simulations, an...

  • Magnetic field modeling of a dual-magnet configuration. Teo, Tat Joo; Chen, I-Ming; Yang, Guilin; Lin, Wei // Journal of Applied Physics;Oct2007, Vol. 102 Issue 7, p074924 

    This paper presents the theoretical and experimental studies of a dual-magnet (DM) configuration that forms the electromagnetic circuit of a nanopositioning actuator. Motivation of this work arises when an accurate prediction of the magnetic field behavior within the DM configuration is required...

  • The relation between reconnected flux, the parallel electric field, and the reconnection rate in a three-dimensional kinetic simulation of magnetic reconnection. Wendel, D. E.; Olson, D. K.; Hesse, M.; Aunai, N.; Kuznetsova, M.; Karimabadi, H.; Daughton, W.; Adrian, M. L. // Physics of Plasmas;Dec2013, Vol. 20 Issue 12, p122105 

    We investigate the distribution of parallel electric fields and their relationship to the location and rate of magnetic reconnection in a large particle-in-cell simulation of 3D turbulent magnetic reconnection with open boundary conditions. The simulation's guide field geometry inhibits the...

  • Delayed creation of entanglement in superconducting qubits interacting with a microwave field. Abdel-Aty, M.; Everitt, M. J. // European Physical Journal B -- Condensed Matter;Mar2010, Vol. 74 Issue 1, p81 

    We explore the role played by the intrinsic decoherence in superconducting charge qubits in the presence of a microwave field applied as a magnetic flux. We study how the delayed creation of entanglement, which is opposite to the sudden death of entanglement, can be induced. We compute the time...

  • Three-dimensional evolution of the fast reconnection mechanism in a sheared current sheet. Ugai, M. // Physics of Plasmas;Mar2010, Vol. 17 Issue 3, p032313 

    Extending the previous simulation model with the plane symmetry boundaries, the present paper studies the three-dimensional (3D) fast reconnection evolution in the presence of an initial sheared field by employing the axis symmetry boundary conditions. The fast reconnection evolution for the...

  • Octupolar out-of-plane magnetic field structure generation during collisionless magnetic reconnection in a stressed X-point collapse. von der Pahlen, J. Graf; Tsiklauri, D. // Physics of Plasmas;Jun2014, Vol. 21 Issue 6, p1 

    The out-of-plane magnetic field, generated by fast magnetic reconnection, during collisionless, stressed X-point collapse, was studied with a kinetic, 2.5D, fully electromagnetic, relativistic particlein- cell numerical code, using both closed (flux conserving) and open boundary conditions on a...

  • Further investigation of energy principle for model current sheets. Yoon, Peter H.; Lui, Anthony T. Y. // Physics of Plasmas;Mar2006, Vol. 13 Issue 3, p032301 

    In the present paper we revisit the energy principle associated with magnetic reconnection. In the earlier approach the boundary of the system was freely adjusted to always contain one full period of the magnetic islands. In view of the fact that in simulations of reconnection such an adjustment...

  • Kinetic Vlasov simulations of collisionless magnetic reconnection. Schmitz, H.; Grauer, R. // Physics of Plasmas;Sep2006, Vol. 13 Issue 9, p092309 

    A fully kinetic Vlasov simulation of the Geospace Environment Modeling Magnetic Reconnection Challenge is presented. Good agreement is found with previous kinetic simulations using particle in cell (PIC) codes, confirming both the PIC and the Vlasov code. In the latter the complete distribution...

  • Entropy conservation in simulations of magnetic reconnection. Birn, J.; Hesse, M.; Schindler, K. // Physics of Plasmas;Sep2006, Vol. 13 Issue 9, p092117 

    Entropy and mass conservation are investigated for the dynamic field evolution associated with fast magnetic reconnection, based on the “Newton Challenge” problem [Birn et al., Geophys. Res. Lett. 32, L06105 (2005)]. In this problem, the formation of a thin current sheet and magnetic...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics