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Collisionless Reconnection: Magnetic Field Line Interaction : Volume 30, Issue 10 (09/10/2012)

By Treumann, R. A.

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Book Id: WPLBN0004002087
Format Type: PDF Article :
File Size: Pages 14
Reproduction Date: 2015

Title: Collisionless Reconnection: Magnetic Field Line Interaction : Volume 30, Issue 10 (09/10/2012)  
Author: Treumann, R. A.
Volume: Vol. 30, Issue 10
Language: English
Subject: Science, Annales, Geophysicae
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


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Gonzalez, W. D., Baumjohann, W., & Treumann, R. A. (2012). Collisionless Reconnection: Magnetic Field Line Interaction : Volume 30, Issue 10 (09/10/2012). Retrieved from

Description: Department of Geophysics and Environmental Sciences, Munich University, Munich, Germany. Magnetic field lines are quantum objects carrying one quantum Φ0 = 2Πh/e of magnetic flux and have finite radius Λm. Here we argue that they possess a very specific dynamical interaction. Parallel field lines reject each other. When confined to a certain area they form two-dimensional lattices of hexagonal structure. We estimate the filling factor of such an area. Anti-parallel field lines, on the other hand, attract each other. We identify the physical mechanism as being due to the action of the gauge potential field, which we determine quantum mechanically for two parallel and two anti-parallel field lines. The distortion of the quantum electrodynamic vacuum causes a cloud of virtual pairs. We calculate the virtual pair production rate from quantum electrodynamics and estimate the virtual pair cloud density, pair current and Lorentz force density acting on the field lines via the pair cloud. These properties of field line dynamics become important in collisionless reconnection, consistently explaining why and how reconnection can spontaneously set on in the field-free centre of a current sheet below the electron-inertial scale.

Collisionless reconnection: magnetic field line interaction

Aharonov, Y. and Bohm, D.: Significance of electromagnetic potentials in the quantum theory, Phys. Rev., 115, 485–491, doi:10.1103/PhysRev.115.485, 1959.; Aitchison, I. J. R. and Hey, A. J. G.: Gauge Theories in Particle Physics, IOP Publishing, Bristol, UK, 1993.; Baumjohann, W. and Treumann, R. A.: Basic Space Plasma Physics, Revised Edition, chpt. 12, Imperial College Press at World Scientific, London and Singapore, 2012.; Bale, S. D., Mozer, F. S., and Phan, T.: Observation of lower hybrid drift instability in the diffusion region at a reconnecting magnetopause, Geophys. Res. Lett., 29, 2180, doi:10.1029/2002GL016113, 2002.; Baumjohann, W., Treumann, R. A., LaBelle, J., and Anderson, R. R.: Average wave spectra across the plasma sheet and their relation to ion bulk speed, J. Geophys. Res., 94, 15221–15230, doi:10.1029/JA094iA11p15221, 1989.; Baumjohann, W., Treumann, R. A., and LaBelle, J.: Average wave spectra across the plasma sheet – dependence on ion density and ion beta, J. Geophys. Res., 95, 3811–3817, doi:10.1029/JA095iA04p03811, 1990.; Baumjohann, W., Nakamura, R., and Treumann, R. A.: Magnetic guide field generation in collisionless current sheets, Ann. Geophys., 28, 789–793, doi:10.5194/angeo-28-789-2010, 2010.; Berestetskii, V. B., Lifshitz, E. M., and Pitaevskii, L. P.: Quantum Electrodynamics, Landau–Lifshitz Course of Theoretical Physics Vol. 4, 2nd Edition, Butterworth-Heinemann, Oxford, UK, 1997.; Biskamp, D.: Magnetic reconnection in plasmas, Cambridge monographs on plasma physics Vol. 3, Cambridge University Press, Cambridge, UK, 2000.; Heisenberg, W. and Euler, H.: Folgerungen aus der Diracschen Theorie des Positrons, Z. Phys., 98, 714–732, doi:10.1007/BF01343663, 1936.; Heyl, J. S. and Hernqvist, L.: Analytic form for the effective Lagrangian of QED and its application to pair production and photon splitting, Phys. Rev. D, 55, 2449–2454, doi:{10.1103/PhRvD.55.2449}, 1997a.; Heyl, J. S. and Hernqvist, L.: Birefringence and dichroism of the QED vacuum, J. Phys. A, 30, 6485–6492, doi:10.1088/0305-4470/30/18/022, 1997b.; Huang, K.: Statistical Mechanics, 2nd Edition, John Wiley & Sons, Inc., New York, pp. 368–390 and 441–467, 1987.; Itzykson, C. and Zuber, J.-B.: Quantum Field Theory, McGraw-Hill, New York, 1980.; Jackson, J. D.: Classical Electrodynamics, John Wiley & Sons, Inc., New York, 1975.; Kaku, M.: Quantum Field Theory, A Modern Introduction, Oxford University Press, Oxford, UK, 1993.; LaBelle, J. and Treumann, R. A.: Plasma waves at the dayside magnetopause, Space Sci. Rev., 47, 175–202, doi:10.1007/BF00223240, 1988.; Landau, L. D.: Diamagnetismus der Metalle, Z. Physik, 64, 629–637, doi:10.1007/BF01397213, 1930.; Laughlin, R. B.: Anomalous Quantum Hall Effect; An incompressible quantum field with fractionally charged excitations, Phys. Rev. Lett., 18, 1395–1398, doi:10.1103/PhysRevLett.50.1395, 1983.; Parker, E. N.: Sweet's mechanism for merging magnetic fields in conducting fluids, J. Geophys. Res., 62, 509–520, doi:10.1029/JZ062i004p00509, 1958.; Petschek, H. E.: Magnetic field annihilation, in: The Physics of Solar Flares, Proc. AAS-NASA Symp, 28–30 October 1963, GSFC, Greenbelt, MD, edited by: Hess, W. M., Washington, D.C., pp. 425-439, 1964.; Pritchett, P. L.: Externall


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