Frozen-in condition for ions and electrons: implication on magnetic flux transport by dipolarizing flux bundles

Springer Science and Business Media LLC - Tập 5 - Trang 1-7 - 2018
A. T. Y. Lui1
1JHU/APL, Laurel, USA

Tóm tắt

The ability of dipolarizing flux bundles (DFBs) in transporting magnetic flux from the mid-tail reconnection site for near-Earth dipolarization is evaluated by two methods: the generalized Ohm’s law and the concept of flux preserving and line preserving. From the generalized Ohm’s law, the breakdown of the frozen-in condition (FIC) for ions is shown to be intimately related to that for electrons. When FIC is not satisfied for the ion fluid associated with energy conversion, it also implies the same for the electron fluid. When FIC holds, the plasma has the flux preserving property. It further guarantees that charged particles on a given magnetic field line will stay together on a magnetic field line at later times, i.e., line preserving. Conversely, when line preserving does not hold, flux preserving does not hold also. Previous detailed examination on the FIC for DFBs revealed that the majority of DFBs associated with energy conversion violate the FIC for the ion fluid. This implies that FIC does not hold for the electron fluid also. Furthermore, plasmas in substorm injections come from vastly different locations, violating the line preserving property and implying that FIC is broken for the magnetic flux tubes associated with substorm injection and dipolarization. These observations indicate that DFBs are not an effective agent to transport magnetic flux within the magnetosphere and further imply that mid-tail magnetic reconnection is rather ineffective in transporting magnetic flux for near-Earth dipolarization.

Tài liệu tham khảo

Akasofu S-I (1968) Polar and magnetospheric substorms. D. Reidel, Norwell Akasofu S-I (2013) Where is the magnetic energy for the expansion phase of auroral substorms accumulated? J Geophys Res 118(1):7. https://doi.org/10.1002/2013JA019042 Akasofu S-I (2017) Where is the magnetic energy for the expansion phase of auroral substorms accumulated? 2. The main body, not the magnetotail. J Geophys Res. https://doi.org/10.1002/2016JA023074 Alfvén H (1942) Existence of electromagnetic-hydrodynamic waves. Nature 150:405 Birn J, Hesse M (2014) The substorm current wedge: further insights from MHD simulations. J Geophys Res 119:3503–3513. https://doi.org/10.1002/2014JA019863 Cheng CZ (2004) Physics of substorm growth phase, onset, and dipolarization. Space Sci Rev 113:207–270 Cheng CZ, Lui ATY (1998) Kinetic ballooning instability for substorm onset and current disruption observed by AMPTE/CCE. Geophys Res Lett 25:4091–4094 DeForest SE, McIlwain CE (1971) Plasma clouds in the magnetosphere. J Geophys Res 76:3587–3611 Gabrielse C et al (2012) The effects of transient, localized electric fields on equatorial electron acceleration and transport toward the inner magnetosphere. J Geophys Res 117:A10213. https://doi.org/10.1029/2012JA017873 Haerendel G, Frey HU (2014) Role and origin of the poleward Alfvénic arc. J Geophys Res Space Phys 119:2945–2962. https://doi.org/10.1002/2014JA019786 Haerendel G et al (2012) Birth and life of auroral arcs embedded in the evening auroral oval convection: a critical comparison of observations with theory. J Geophys Res 117:A12220. https://doi.org/10.1029/2012JA018128 Henderson MG (1994) Implications of viking imager results for substorm models. Univ. of Calgary, Calgary Henderson MG (2009) Observational evidence for an inside-out substorm onset scenario. Ann Geophys 27:2129–2140 Kepko L et al (2015) Substorm current wedge revisited. Space Sci Rev 190:1–46. https://doi.org/10.1007/s11214-014-0124-9 Liu WW (1997) Physics of the explosive growth phase: ballooning instability revisited. J Geophys Res 102:4927–4931 Liu WW et al (2012) If substorm onset triggers tail reconnection, what triggers substorm onset? J Geophys Res 117:A11220. https://doi.org/10.1029/2012JA018161 Liu J et al (2013) On the current sheets surrounding dipolarizing flux bundles in the magnetotail: the case for wedgelets. J Geophys Res Space Phys 118:2000–2020. https://doi.org/10.1002/2013JA019395 Liu J et al (2014) Magnetic flux transport by dipolarizing flux bundles. J Geophy Res Space Phys 119:909–926. https://doi.org/10.1002/jgra.50092 Lopez RE et al (1988) Substorm variations in the magnitude of the magnetic field: AMPTE/CCE observations. J Geophys Res 93:14444–14452 Lopez RE et al (1989) On the relationship between energetic particle flux morphology and the change in the magnetic field magnitude during substorms. J Geophys Res 94:17105–17119 Lui ATY (1991) A synthesis of magnetospheric substorm models. J Geophys Res 96:1849–1856 Lui ATY (2011) Reduction of the cross-tail current during near-Earth dipolarization with multi-satellite observations. J Geophys Res 116(A12):A12239. https://doi.org/10.1029/2011JA17107 Lui ATY (2013) Cross-tail current evolution during substorm dipolarization. Ann Geophys 31:1131–1142. https://doi.org/10.5194/angeo-31-1131-2013 Lui ATY (2015) Dipolarization fronts and magnetic flux transport. Geosci. Lett. 2:15. https://doi.org/10.1186/s40562-015-0032-1 Lui ATY et al (1988) A case study of magnetotail current sheet disruption and diversion. Geophys Res Lett 15:721–724 Lui ATY et al (1999) Near-Earth dipolarization: evidence for a non-MHD process. Geophys Res Lett 26:2905–2908 Lui ATY et al (2007) Breakdown of the frozen-in condition in the Earth’s magnetotail. J Geophys Res 112:A04215. https://doi.org/10.1029/2006JA012000 McPherron RL, Russell CT, Aubry M (1973) Satellite studies of magnetospheric substorms on August 15, 1968, 9, phenomenological model for substorms. J Geophys Res 78:3131–3149 Nakamura R et al (2002) Motion of the dipolarization front during a flow burst event observed by Cluster. Geophys Res Lett 29(20):1942. https://doi.org/10.1029/2002GL015763 Newcomb WA (1958) Motion of magnetic lines of force. Ann Phys 3:347–385 Parks G (2004) Physics of space plasmas: an introduction, 2nd edn. Westview Press, Boulder. ISBN 0-8133-4130-2 Rossi B, Olbert S (1970) Introduction to the physics of space. McGraw-Hill Book Co., New York Roux A et al (1991) Plasma sheet instability related to the westward traveling surge. J Geophys Res 96:17697–17714 Runov A et al (2009) THEMIS observations of an earthward-propagating dipolarization front. Geophys Res Lett 36:L14106. https://doi.org/10.1029/2009GL038980 Runov A et al (2011) A THEMIS multicase study of dipolarization fronts in the magnetotail plasma sheet. J Geophys Res 116:A05216. https://doi.org/10.1029/2010JA016316 Schmid D et al (2011) A statistical and event study of magnetotail dipolarization fronts. Ann Geophys 29:1537–1547 Wiltberger M et al (2015) High-resolution global magnetohydrodynamic simulation of bursty bulk flows. J Geophys Res Space Phys 120:4555–4566. https://doi.org/10.1002/2015JA021080 Yao ZH et al (2015) A physical explanation for the magnetic decrease ahead of dipolarization fronts. Ann Geophys 33:1301–1309 Yao ZH et al (2017) An explanation of auroral intensification during the substorm expansion phase. J Geophys Res Space Phys 122:8560–8576. https://doi.org/10.1002/2017JA024029 Zhou X-Z, Angelopoulos V, Sergeev VA, Runov A (2010) Accelerated ions ahead of earthward propagating dipolarization fronts. J Geophys Res 115:A00103. https://doi.org/10.1029/2010JA015481