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Space Science Reviews

, Volume 212, Issue 1–2, pp 193–248 | Cite as

Heliosheath Processes and the Structure of the Heliopause: Modeling Energetic Particles, Cosmic Rays, and Magnetic Fields

  • N. V. PogorelovEmail author
  • H. Fichtner
  • A. Czechowski
  • A. Lazarian
  • B. Lembege
  • J. A. le Roux
  • M. S. Potgieter
  • K. Scherer
  • E. C. Stone
  • R. D. Strauss
  • T. Wiengarten
  • P. Wurz
  • G. P. Zank
  • M. Zhang
Article

Abstract

This paper summarizes the results obtained by the team “Heliosheath Processes and the Structure of the Heliopause: Modeling Energetic Particles, Cosmic Rays, and Magnetic Fields” supported by the International Space Science Institute (ISSI) in Bern, Switzerland. We focus on the physical processes occurring in the outer heliosphere, especially at its boundary called the heliopause, and in the local interstellar medium. The importance of magnetic field, charge exchange between neutral atoms and ions, and solar cycle on the heliopause topology and observed heliocentric distances to different heliospheric discontinuities are discussed. It is shown that time-dependent, data-driven boundary conditions are necessary to describe the heliospheric asymmetries detected by the Voyager spacecraft. We also discuss the structure of the heliopause, especially due to its instability and magnetic reconnection. It is demonstrated that the Rayleigh–Taylor instability of the nose of the heliopause creates consecutive layers of the interstellar and heliospheric plasma which are magnetically connected to different sources. This may be a possible explanation of abrupt changes in the galactic and anomalous cosmic ray fluxes observed by Voyager 1 when it was crossing the heliopause structure for a period of about one month in the summer of 2012. This paper also discusses the plausibility of fitting simulation results to a number of observational data sets obtained by in situ and remote measurements. The distribution of magnetic field in the vicinity of the heliopause is discussed in the context of Voyager measurements. It is argued that a classical heliospheric current sheet formed due to the Sun’s rotation is not observed by in situ measurements and should not be expected to exist in numerical simulations extending to the boundary of the heliosphere. Furthermore, we discuss the transport of energetic particles in the inner and outer heliosheath, concentrating on the anisotropic spatial diffusion diffusion tensor and the pitch-angle dependence of perpendicular diffusion and demonstrate that the latter can explain the observed pitch-angle anisotropies of both the anomalous and galactic cosmic rays in the outer heliosheath.

Keywords

Heliopause and solar wind termination Heliosphere and interstellar medium interaction Cosmic rays Particle acceleration and transport 

Notes

Acknowledgements

We are grateful to the International Space Science Institute (ISSI) in Bern, Switzerland, that supported two meetings for an international team on the topic ‘Heliosheath Processes and Structure of the Heliopause: Modeling Energetic Particles, Cosmic Rays, and Magnetic Fields’ supported by the International Space Science Institute (ISSI) in Bern, Switzerland. The work of the USA team was supported, in part, by NASA grants NNX14AJ53G, NNX14AF41G, NNX14AF43G, NNX15AN72G, and NNX16AG83G, and DOE Grant DE-SC0008334. It was also partially supported by the IBEX mission as a part of NASA’s Explorer program. We acknowledge NSF PRAC award ACI-1144120 and related computer resources from the Blue Waters sustained-petascale computing project. Supercomputer time allocations were also provided on SGI Pleiades by NASA High-End Computing Program award SMD-15-5860 and on Stampede by NSF XSEDE project MCA07S033. The work of HF, MSP, KS and RDS was partly carried out within the framework of the bilateral BMBF-NRF-project “Astrohel” (01DG15009) funded by the Bundesministerium für Bildung und Forschung. The responsibility of the contents of this work is with the authors.

References

  1. R. Abbasi, Y. Abdou, T. Abu-Zayyad, M. Ackermann, J. Adams, J.A. Aguilar, M. Ahlers, M.M. Allen, D. Altmann, K. Andeen et al., Astrophys. J. 746, 33 (2012). doi: 10.1088/0004-637X/746/1/33 ADSCrossRefGoogle Scholar
  2. A.A. Abdo, B.T. Allen, T. Aune et al., Astrophys. J. 698, 2121 (2009). doi: 10.1088/0004-637X/698/2/2121 ADSCrossRefGoogle Scholar
  3. F. Alouani-Bibi, M. Opher, D. Alexashov, V. Izmodenov, G. Toth, Astrophys. J. 734, 45 (2011). doi: 10.1088/0004-637X/734/1/45 ADSCrossRefGoogle Scholar
  4. M. Amenomori, X.J. Bi, D. Chen et al., Astrophys. J. 711, 119 (2010). doi: 10.1088/0004-637X/711/1/119 ADSCrossRefGoogle Scholar
  5. J.W. Armstrong, R. Woo, Astron. Astrophys. 103, 415 (1981) ADSGoogle Scholar
  6. J.W. Armstrong, B.J. Rickett, S.R. Spangler, Astrophys. J. 443, 209 (1995). doi: 10.1086/175515 ADSCrossRefGoogle Scholar
  7. K. Avinash, G.P. Zank, B. Dasgupta, S. Bhadoria, Astrophys. J. 791, 102 (2014). doi: 10.1088/0004-637X/791/2/102 ADSCrossRefGoogle Scholar
  8. V.B. Baranov, Y.G. Malama, J. Geophys. Res. Space Phys. 98, 15 (1993). doi: 10.1029/93JA01171 CrossRefGoogle Scholar
  9. V.P. Bhatnagar, H.J. Fahr, Planet. Space Sci. 20, 445 (1972). doi: 10.1016/0032-0633(72)90077-3 ADSCrossRefGoogle Scholar
  10. P.W. Blum, H.J. Fahr, Nature 223, 936 (1969). doi: 10.1038/223936b0 ADSCrossRefGoogle Scholar
  11. S.N. Borovikov, N.V. Pogorelov, Astrophys. J. Lett. 783, L16 (2014). doi: 10.1088/2041-8205/783/1/L16 ADSCrossRefGoogle Scholar
  12. S.N. Borovikov, N.V. Pogorelov, G.P. Zank, I.A. Kryukov, Astrophys. J. 682, 1404 (2008). doi: 10.1086/589634 ADSCrossRefGoogle Scholar
  13. S.N. Borovikov, N.V. Pogorelov, L.F. Burlaga, J.D. Richardson, Astrophys. J. Lett. 728, L21 (2011). doi: 10.1088/2041-8205/728/1/L21 ADSCrossRefGoogle Scholar
  14. G. Brunetti, A. Lazarian, Mon. Not. R. Astron. Soc. 378, 245 (2007). doi: 10.1111/j.1365-2966.2007.11771.x ADSCrossRefGoogle Scholar
  15. R. Bruno, V. Carbone, Living Rev. Sol. Phys. 2, 4 (2005) ADSCrossRefGoogle Scholar
  16. R. Bruno, V. Carbone, Lecture Notes in Physics, vol. 628 (Springer, Berlin, 2016), pp. 1–257. doi: 10.1007/978-3-319-43440-7 Google Scholar
  17. L.F. Burlaga, N.F. Ness, Astrophys. J. 744, 51 (2012). doi: 10.1088/0004-637X/744/1/51 ADSCrossRefGoogle Scholar
  18. L.F. Burlaga, N.F. Ness, Astrophys. J. 784, 146 (2014a). doi: 10.1088/0004-637X/784/2/146 ADSCrossRefGoogle Scholar
  19. L.F. Burlaga, N.F. Ness, Astrophys. J. Lett. 795, L19 (2014b). doi: 10.1088/2041-8205/795/1/L19 ADSCrossRefGoogle Scholar
  20. L.F. Burlaga, N.F. Ness, J.W. Belcher, A. Szabo, P.A. Isenberg, M.A. Lee, J. Geophys. Res. Space Phys. 99, 21 (1994). doi: 10.1029/94JA01999 Google Scholar
  21. L.F. Burlaga, N.F. Ness, E.C. Stone, Science 341(6142), 147 (2013). http://science.sciencemag.org/content/341/6142/147. doi: 10.1126/science.1235451 ADSCrossRefGoogle Scholar
  22. R.H. Burrows, G.P. Zank, G.M. Webb, L.F. Burlaga, N.F. Ness, Astrophys. J. 715, 1109 (2010). doi: 10.1088/0004-637X/715/2/1109 ADSCrossRefGoogle Scholar
  23. M. Bzowski, E. Möbius, S. Tarnopolski, V. Izmodenov, G. Gloeckler, Space Sci. Rev. 143, 177 (2009). doi: 10.1007/s11214-008-9479-0 ADSCrossRefGoogle Scholar
  24. M. Bzowski, M.A. Kubiak, E. Möbius, P. Bochsler, T. Leonard, D. Heirtzler, H. Kucharek, J.M. Sokół, M. Hłond, G.B. Crew, N.A. Schwadron, S.A. Fuselier, D.J. McComas, Astrophys. J. Suppl. Ser. 198, 12 (2012). doi: 10.1088/0067-0049/198/2/12 ADSCrossRefGoogle Scholar
  25. M. Bzowski, J.M. Sokół, M. Tokumaru, K. Fujiki, E. Quémerais, R. Lallement, S. Ferron, P. Bochsler, D.J. McComas, in Cross-Calibration of Past and Present Far UV Spectra of Solar System Objects and the Heliosphere, ed. by R.M. Bonnet, M. Snow, R.-M. Bonnet. ISSI Scientific Report Ser., vol. 13 (2013), 67. doi: 10.1007/978-1-4614-6384-9_3 Google Scholar
  26. M. Bzowski, P. Swaczyna, M.A. Kubiak, J.M. Sokół, S.A. Fuselier, A. Galli, D. Heirtzler, H. Kucharek, T.W. Leonard, D.J. McComas, E. Möbius, N.A. Schwadron, P. Wurz, Astrophys. J. Suppl. Ser. 220, 28 (2015). doi: 10.1088/0067-0049/220/2/28 ADSCrossRefGoogle Scholar
  27. S.V. Chalov, D.B. Alexashov, D. McComas, V.V. Izmodenov, Y.G. Malama, N. Schwadron, Astrophys. J. Lett. 716, L99 (2010). doi: 10.1088/2041-8205/716/2/L99 ADSCrossRefGoogle Scholar
  28. B.D.G. Chandran, Phys. Rev. Lett. 85, 4656 (2000). doi: 10.1103/PhysRevLett.85.4656 ADSCrossRefGoogle Scholar
  29. S. Chatterjee, J.M. Cordes, Astrophys. J. 575, 407 (2002). doi: 10.1086/341139 ADSCrossRefGoogle Scholar
  30. A. Chepurnov, A. Lazarian, Astrophys. J. 710, 853 (2010). doi: 10.1088/0004-637X/710/1/853 ADSCrossRefGoogle Scholar
  31. J. Cho, A. Lazarian, Phys. Rev. Lett. 88(24), 245001 (2002). doi: 10.1103/PhysRevLett.88.245001 ADSCrossRefGoogle Scholar
  32. J. Cho, A. Lazarian, Mon. Not. R. Astron. Soc. 345, 325 (2003). doi: 10.1046/j.1365-8711.2003.06941.x ADSCrossRefGoogle Scholar
  33. J.P.J. Coleman, Astrophys. J. 153, 371 (1968). doi: 10.1086/149674 ADSCrossRefGoogle Scholar
  34. S.R. Cranmer, A.A. van Ballegooijen, Astrophys. J. Suppl. Ser. 156, 265 (2005). doi: 10.1086/426507 ADSCrossRefGoogle Scholar
  35. A.C. Cummings, E.C. Stone, C.D. Steenberg, Astrophys. J. 578, 194 (2002). doi: 10.1086/342427 ADSCrossRefGoogle Scholar
  36. A. Czechowski, M. Hilchenbach, K.C. Hsieh, Astron. Astrophys. 541, A14 (2012). doi: 10.1051/0004-6361/201118570 ADSCrossRefGoogle Scholar
  37. W. Daughton, J. Scudder, H. Karimabadi, Phys. Plasmas 13(7), 072101 (2006). doi: 10.1063/1.2218817 ADSCrossRefGoogle Scholar
  38. E.M. de Gouveia Dal Pino, A. Lazarian (2003). ArXiv e-prints Google Scholar
  39. E.M. de Gouveia Dal Pino, A. Lazarian, Astron. Astrophys. 441, 845 (2005). doi: 10.1051/0004-6361:20042590 ADSCrossRefGoogle Scholar
  40. R.B. Decker, S.M. Krimigis, E.C. Roelof, M.E. Hill, T.P. Armstrong, G. Gloeckler, D.C. Hamilton, L.J. Lanzerotti, Nature 454, 67 (2008). doi: 10.1038/nature07030 ADSCrossRefGoogle Scholar
  41. R.B. Decker, S.M. Krimigis, E.C. Roelof, M.E. Hill, Nature 489, 124 (2012). doi: 10.1038/nature11441 ADSCrossRefGoogle Scholar
  42. R.B. Decker, S.M. Krimigis, E.C. Roelof, M.E. Hill, J. Phys. Conf. Ser. 577(1), 012006 (2015). doi: 10.1088/1742-6596/577/1/012006 CrossRefGoogle Scholar
  43. M.I. Desai, F.A. Allegrini, M.A. Dayeh, B. De Majistre, H. Funsten, J. Heerikhuisen, D.J. McComas, N. Pogorelov, N.A. Schwadron, G.P. Zank, Astrophys. J. Lett. 749, L30 (2012). doi: 10.1088/2041-8205/749/2/L30 ADSCrossRefGoogle Scholar
  44. M.I. Desai, F.A. Allegrini, M. Bzowski, M.A. Dayeh, H. Funsten, S.A. Fuselier, J. Heerikhuisen, M.A. Kubiak, D.J. McComas, N.V. Pogorelov, N.A. Schwadron, J.M. Sokół, G.P. Zank, E.J. Zirnstein, Astrophys. J. 780, 98 (2014). doi: 10.1088/0004-637X/780/1/98 ADSCrossRefGoogle Scholar
  45. P. Desiati, A. Lazarian, Astrophys. J. 762, 44 (2013). doi: 10.1088/0004-637X/762/1/44 ADSCrossRefGoogle Scholar
  46. T.R. Detman, D.S. Intriligator, M. Dryer, W. Sun, C.S. Deehr, J. Intriligator, J. Geophys. Res. Space Phys. 116, A03105 (2011). doi: 10.1029/2010JA015803 ADSCrossRefGoogle Scholar
  47. G. Di Sciascio, R. Iuppa, Argo-Ybj Collaboration, J. Phys. Conf. Ser. 375(5), 052008 (2012). doi: 10.1088/1742-6596/375/1/052008 CrossRefGoogle Scholar
  48. P. Dmitruk, W.H. Matthaeus, L.J. Milano, S. Oughton, Phys. Plasmas 8, 2377 (2001). doi: 10.1063/1.1344563 ADSCrossRefGoogle Scholar
  49. B.T. Draine, Physics of the Interstellar and Intergalactic Medium (2011) zbMATHGoogle Scholar
  50. J.F. Drake, Nature 410, 525 (2001) ADSCrossRefGoogle Scholar
  51. J.F. Drake, M. Swisdak, K.M. Schoeffler, B.N. Rogers, S. Kobayashi, Geophys. Res. Lett. 33, L13105 (2006). doi: 10.1029/2006GL025957 ADSCrossRefGoogle Scholar
  52. J.F. Drake, M. Swisdak, M. Opher, Astrophys. J. Lett. 808, L44 (2015). doi: 10.1088/2041-8205/808/2/L44 ADSCrossRefGoogle Scholar
  53. W. Dröge, Y.Y. Kartavykh, B. Klecker, G.A. Kovaltsov, Astrophys. J. 709, 912 (2010). doi: 10.1088/0004-637X/709/2/912 ADSCrossRefGoogle Scholar
  54. R.W. Ebert, D.J. McComas, H.A. Elliott, R.J. Forsyth, J.T. Gosling, J. Geophys. Res. Space Phys. 114, A01109 (2009). doi: 10.1029/2008JA013631 ADSCrossRefGoogle Scholar
  55. F. Effenberger, H. Fichtner, K. Scherer, S. Barra, J. Kleimann, R.D. Strauss, Astrophys. J. 750, 108 (2012). doi: 10.1088/0004-637X/750/2/108 ADSCrossRefGoogle Scholar
  56. N.E. Engelbrecht, R.A. Burger, Astrophys. J. 772, 46 (2013). doi: 10.1088/0004-637X/772/1/46 ADSCrossRefGoogle Scholar
  57. G.L. Eyink, Astrophys. J. 807, 137 (2015). doi: 10.1088/0004-637X/807/2/137 ADSCrossRefGoogle Scholar
  58. G. Eyink, E. Vishniac, C. Lalescu, H. Aluie, K. Kanov, K. Bürger, R. Burns, C. Meneveau, A. Szalay, Nature 497, 466 (2013). doi: 10.1038/nature12128 ADSCrossRefGoogle Scholar
  59. H.J. Fahr, D. Ruciński, Space Sci. Rev. 97, 407 (2001) ADSCrossRefGoogle Scholar
  60. H.J. Fahr, M. Siewert, Astron. Astrophys. 558, A41 (2013). doi: 10.1051/0004-6361/201322262 CrossRefGoogle Scholar
  61. H.J. Fahr, W. Neutsch, S. Grzedzielski, W. Macek, R. Ratkiewicz-Landowska, Space Sci. Rev. 43, 329 (1986). doi: 10.1007/BF00190639 ADSCrossRefGoogle Scholar
  62. H.J. Fahr, T. Kausch, H. Scherer, Astron. Astrophys. 357, 268 (2000) ADSGoogle Scholar
  63. H.J. Fahr, M. Siewert, I. Chashei, Astrophys. Space Sci. 341, 265 (2012). doi: 10.1007/s10509-012-1126-2 ADSCrossRefGoogle Scholar
  64. H. Fichtner, K. Scherer, F. Effenberger, J. Zönnchen, N. Schwadron, D.J. McComas, Astron. Astrophys. 561, A74 (2014). doi: 10.1051/0004-6361/201322064 ADSCrossRefGoogle Scholar
  65. L.A. Fisk, J. Geophys. Res. 101, 15547 (1996) ADSCrossRefGoogle Scholar
  66. L.A. Fisk, G. Gloeckler, Astrophys. J. 776, 79 (2013). doi: 10.1088/0004-637X/776/2/79 ADSCrossRefGoogle Scholar
  67. V. Florinski, Adv. Space Res. 48, 308 (2011). doi: 10.1016/j.asr.2011.03.023 ADSCrossRefGoogle Scholar
  68. V. Florinski, N.V. Pogorelov, Astrophys. J. 701, 642 (2009). doi: 10.1088/0004-637X/701/1/642 ADSCrossRefGoogle Scholar
  69. V. Florinski, N.V. Pogorelov, G.P. Zank, B.E. Wood, D.P. Cox, Astrophys. J. 604, 700 (2004). doi: 10.1086/382017 ADSCrossRefGoogle Scholar
  70. V. Florinski, G.P. Zank, N.V. Pogorelov, J. Geophys. Res. Space Phys. 110, A07104 (2005). doi: 10.1029/2004JA010879 ADSCrossRefGoogle Scholar
  71. V. Florinski, G.P. Zank, J. Heerikhuisen, Q. Hu, I. Khazanov, Astrophys. J. 719, 1097 (2010). doi: 10.1088/0004-637X/719/2/1097 ADSCrossRefGoogle Scholar
  72. V. Florinski, F. Alouani-Bibi, J. Kota, X. Guo, Astrophys. J. 754, 31 (2012). doi: 10.1088/0004-637X/754/1/31 ADSCrossRefGoogle Scholar
  73. V. Florinski, J.R. Jokipii, F. Alouani-Bibi, J.A. le Roux, Astrophys. J. Lett. 776, L37 (2013). doi: 10.1088/2041-8205/776/2/L37 ADSCrossRefGoogle Scholar
  74. V. Florinski, E.C. Stone, A.C. Cummings, J.A. le Roux, Astrophys. J. 803, 47 (2015). doi: 10.1088/0004-637X/803/1/47 ADSCrossRefGoogle Scholar
  75. P.C. Frisch, A. Berdyugin, V. Piirola, A.M. Magalhaes, D.B. Seriacopi, S.J. Wiktorowicz, B.G. Andersson, H.O. Funsten, D.J. McComas, N.A. Schwadron, J.D. Slavin, A.J. Hanson, C.W. Fu, Astrophys. J. 814, 112 (2015). doi: 10.1088/0004-637X/814/2/112 ADSCrossRefGoogle Scholar
  76. H.O. Funsten, F. Allegrini, P. Bochsler, G. Dunn, S. Ellis, D. Everett, M.J. Fagan, S.A. Fuselier, M. Granoff, M. Gruntman, A.A. Guthrie, J. Hanley, R.W. Harper, D. Heirtzler, P. Janzen, K.H. Kihara, B. King, H. Kucharek, M.P. Manzo, M. Maple, K. Mashburn, D.J. McComas, E. Moebius, J. Nolin, D. Piazza, S. Pope, D.B. Reisenfeld, B. Rodriguez, E.C. Roelof, L. Saul, S. Turco, P. Valek, S. Weidner, P. Wurz, S. Zaffke, Space Sci. Rev. 146, 75 (2009). doi: 10.1007/s11214-009-9504-y ADSCrossRefGoogle Scholar
  77. H.O. Funsten, R. DeMajistre, P.C. Frisch, J. Heerikhuisen, D.M. Higdon, P. Janzen, B.A. Larsen, G. Livadiotis, D.J. McComas, E. Möbius, C.S. Reese, D.B. Reisenfeld, N.A. Schwadron, E.J. Zirnstein, Astrophys. J. 776, 30 (2013). doi: 10.1088/0004-637X/776/1/30 ADSCrossRefGoogle Scholar
  78. S.A. Fuselier, F. Allegrini, H.O. Funsten, A.G. Ghielmetti, D. Heirtzler, H. Kucharek, O.W. Lennartsson, D.J. McComas, E. Möbius, T.E. Moore, S.M. Petrinec, L.A. Saul, J.A. Scheer, N. Schwadron, P. Wurz, Science 326, 962 (2009a). doi: 10.1126/science.1180981 ADSCrossRefGoogle Scholar
  79. S.A. Fuselier, P. Bochsler, D. Chornay, G. Clark, G.B. Crew, G. Dunn, S. Ellis, T. Friedmann, H.O. Funsten, A.G. Ghielmetti, J. Googins, M.S. Granoff, J.W. Hamilton, J. Hanley, D. Heirtzler, E. Hertzberg, D. Isaac, B. King, U. Knauss, H. Kucharek, F. Kudirka, S. Livi, J. Lobell, S. Longworth, K. Mashburn, D.J. McComas, E. Möbius, A.S. Moore, T.E. Moore, R.J. Nemanich, J. Nolin, M. O’Neal, D. Piazza, L. Peterson, S.E. Pope, P. Rosmarynowski, L.A. Saul, J.R. Scherrer, J.A. Scheer, C. Schlemm, N.A. Schwadron, C. Tillier, S. Turco, J. Tyler, M. Vosbury, M. Wieser, P. Wurz, S. Zaffke, Space Sci. Rev. 146, 117 (2009b). doi: 10.1007/s11214-009-9495-8 ADSCrossRefGoogle Scholar
  80. S.A. Fuselier, F. Allegrini, M. Bzowski, M.A. Dayeh, M. Desai, H.O. Funsten, A. Galli, D. Heirtzler, P. Janzen, M.A. Kubiak, H. Kucharek, W. Lewis, G. Livadiotis, D.J. McComas, E. Möbius, S.M. Petrinec, M. Quinn, N. Schwadron, J.M. Sokół, K.J. Trattner, B.E. Wood, P. Wurz, Astrophys. J. 784, 89 (2014). doi: 10.1088/0004-637X/784/2/89 ADSCrossRefGoogle Scholar
  81. A. Galli, P. Wurz, S. Barabash, A. Grigoriev, R. Lundin, Y. Futaana, H. Gunell, M. Holmström, E.C. Roelof, C.C. Curtis, K.C. Hsieh, A. Fedorov, D. Winningham, R.A. Frahm, R. Cerulli-Irelli, P. Bochsler, N. Krupp, J. Woch, M. Fraenz, Astrophys. J. 644, 1317 (2006). doi: 10.1086/503765 ADSCrossRefGoogle Scholar
  82. A. Galli, P. Wurz, P. Kollmann, P.C. Brandt, M. Bzowski, J.M. Sokół, M.A. Kubiak, A. Grigoriev, S. Barabash, Astrophys. J. 775, 24 (2013). doi: 10.1088/0004-637X/775/1/24 ADSCrossRefGoogle Scholar
  83. A. Galli, P. Wurz, S.A. Fuselier, D.J. McComas, M. Bzowski, J.M. Sokół, M.A. Kubiak, E. Möbius, Astrophys. J. 796, 9 (2014). doi: 10.1088/0004-637X/796/1/9 ADSCrossRefGoogle Scholar
  84. A. Galli, P. Wurz, N.A. Schwadron, H. Kucharek, E. Möbius, M. Bzowski, J.M. Sokół, M.A. Kubiak, H.O. Funsten, S.A. Fuselier, D.J. McComas, Astrophys. J. 821, 107 (2016). doi: 10.3847/0004-637X/821/2/107 ADSCrossRefGoogle Scholar
  85. K. Gamayunov, M. Zhang, H. Rassoul, Astrophys. J. 725, 2251 (2010). doi: 10.1088/0004-637X/725/2/2251 ADSCrossRefGoogle Scholar
  86. K.V. Gamayunov, M. Zhang, N.V. Pogorelov, J. Heerikhuisen, H.K. Rassoul, Astrophys. J. 757, 74 (2012). doi: 10.1088/0004-637X/757/1/74 ADSCrossRefGoogle Scholar
  87. K.G. Gayley, G.P. Zank, H.L. Pauls, P.C. Frisch, D.E. Welty, Astrophys. J. 487, 259 (1997) ADSCrossRefGoogle Scholar
  88. G. Gloeckler, L.A. Fisk, Astrophys. J. Lett. 806, L27 (2015). doi: 10.1088/2041-8205/806/2/L27 ADSCrossRefGoogle Scholar
  89. V. Gogosov, J. Appl. Math. Mech. 25, 148 (1961). doi: 10.1016/0021-8928(61)90104-6 MathSciNetCrossRefGoogle Scholar
  90. P. Goldreich, S. Sridhar, Astrophys. J. 438, 763 (1995). doi: 10.1086/175121 ADSCrossRefGoogle Scholar
  91. M. Gruntman, J. Geophys. Res. Space Phys. 120, 6119 (2015). doi: 10.1002/2015JA021539 ADSCrossRefGoogle Scholar
  92. J. Grygorczuk, A. Czechowski, S. Grzedzielski, Astrophys. J. Lett. 789, L43 (2014). doi: 10.1088/2041-8205/789/2/L43 ADSCrossRefGoogle Scholar
  93. S. Grzedzielski, M. Bzowski, A. Czechowski, H.O. Funsten, D.J. McComas, N.A. Schwadron, Astrophys. J. Lett. 715, L84 (2010). doi: 10.1088/2041-8205/715/2/L84 ADSCrossRefGoogle Scholar
  94. G. Guillian, J. Hosaka, K. Ishihara et al., Phys. Rev. D 75(6), 062003 (2007). doi: 10.1103/PhysRevD.75.062003 ADSCrossRefGoogle Scholar
  95. X. Guo, V. Florinski, Astrophys. J. 793, 18 (2014). doi: 10.1088/0004-637X/793/1/18 ADSCrossRefGoogle Scholar
  96. D.A. Gurnett, W.S. Kurth, I.H. Cairns, J. Mitchell, in Physics of the Inner Heliosheath, ed. by J. Heerikhuisen, V. Florinski, G.P. Zank, N.V. Pogorelov. American Institute of Physics Conference Series, vol. 858 (2006), pp. 129–134. doi: 10.1063/1.2359317 Google Scholar
  97. D. Gurnett, W. Kurth, L. Burlaga, N. Ness, Science 341, 1489 (2013) ADSCrossRefGoogle Scholar
  98. D.A. Gurnett, W.S. Kurth, E.C. Stone, A.C. Cummings, S.M. Krimigis, R.B. Decker, N.F. Ness, L.F. Burlaga, Astrophys. J. 809, 121 (2015). doi: 10.1088/0004-637X/809/2/121 ADSCrossRefGoogle Scholar
  99. J. Heerikhuisen, N.V. Pogorelov, Astrophys. J. 738, 29 (2011). doi: 10.1088/0004-637X/738/1/29 ADSCrossRefGoogle Scholar
  100. J. Heerikhuisen, N.V. Pogorelov, G.P. Zank, G.B. Crew, P.C. Frisch, H.O. Funsten, P.H. Janzen, D.J. McComas, D.B. Reisenfeld, N.A. Schwadron, Astrophys. J. Lett. 708, L126 (2010). doi: 10.1088/2041-8205/708/2/L126 ADSCrossRefGoogle Scholar
  101. J. Heerikhuisen, E. Zirnstein, N. Pogorelov, J. Geophys. Res. Space Phys. 120, 1516 (2015). doi: 10.1002/2014JA020636 ADSCrossRefGoogle Scholar
  102. J.C. Higdon, Astrophys. J. 285, 109 (1984). doi: 10.1086/162481 ADSCrossRefGoogle Scholar
  103. M. Hilchenbach, K.C. Hsieh, D. Hovestadt, B. Klecker, H. Grünwaldt, P. Bochsler, F.M. Ipavich, A. Bürgi, E. Möbius, F. Gliem, W.I. Axford, H. Balsiger, W. Bornemann, M.A. Coplan, A.B. Galvin, J. Geiss, G. Gloeckler, S. Hefti, D.L. Judge, R. Kallenbach, P. Laeverenz, M.A. Lee, S. Livi, G.G. Managadze, E. Marsch, M. Neugebauer, H.S. Ogawa, K.U. Reiche, M. Scholer, M.I. Verigin, B. Wilken, P. Wurz, Astrophys. J. 503, 916 (1998). doi: 10.1086/306022 ADSCrossRefGoogle Scholar
  104. T.E. Holzer, Rev. Geophys. Space Phys. 15, 467 (1977). doi: 10.1029/RG015i004p00467 ADSCrossRefGoogle Scholar
  105. Y.M. Huang, A. Bhattacharjee, Astrophys. J. 818, 20 (2016). doi: 10.3847/0004-637X/818/1/20 ADSCrossRefGoogle Scholar
  106. D.E. Innes, B. Inhester, W.I. Axford, K. Wilhelm, Nature 386, 811 (1997). doi: 10.1038/386811a0 ADSCrossRefGoogle Scholar
  107. P.A. Isenberg, J. Geophys. Res. Space Phys. 91, 9965 (1986). doi: 10.1029/JA091iA09p09965 ADSCrossRefGoogle Scholar
  108. P.A. Isenberg, J. Geophys. Res. Space Phys. 92, 1067 (1987). doi: 10.1029/JA092iA02p01067 ADSCrossRefGoogle Scholar
  109. P.A. Isenberg, T.G. Forbes, E. Möbius, Astrophys. J. 805, 153 (2015). doi: 10.1088/0004-637X/805/2/153 ADSCrossRefGoogle Scholar
  110. V.V. Izmodenov, Space Sci. Rev. 143, 139 (2009). doi: 10.1007/s11214-008-9444-y ADSCrossRefGoogle Scholar
  111. V.V. Izmodenov, D.B. Alexashov, Astron. Lett. 29, 58 (2003). doi: 10.1134/1.1537379 ADSCrossRefGoogle Scholar
  112. V.V. Izmodenov, D.B. Alexashov, Astrophys. J. Suppl. Ser. 220, 32 (2015). doi: 10.1088/0067-0049/220/2/32 ADSCrossRefGoogle Scholar
  113. V. Izmodenov, Y.G. Malama, G. Gloeckler, J. Geiss, Astrophys. J. Lett. 594, L59 (2003). doi: 10.1086/378387 ADSCrossRefGoogle Scholar
  114. V. Izmodenov, D. Alexashov, A. Myasnikov, Astron. Astrophys. 437, L35 (2005a). doi: 10.1051/0004-6361:200500132 ADSCrossRefGoogle Scholar
  115. V. Izmodenov, Y. Malama, M.S. Ruderman, Astron. Astrophys. 429, 1069 (2005b). doi: 10.1051/0004-6361:20041348 ADSCrossRefGoogle Scholar
  116. S. Jaeger, H.J. Fahr, Sol. Phys. 178, 193 (1998) ADSCrossRefGoogle Scholar
  117. J.R. Jokipii, Astrophys. J. 146, 480 (1966). doi: 10.1086/148912 ADSCrossRefGoogle Scholar
  118. R. Kallenbach, A. Czechowski, M. Hilchenbach, P. Wurz, in The Physics of the Heliospheric Boundaries, ed. by V.V. Izmodenov, R. Kallenbach (2006), p. 203 Google Scholar
  119. O.A. Katushkina, V.V. Izmodenov, B.E. Wood, D.R. McMullin, Astrophys. J. 789, 80 (2014). doi: 10.1088/0004-637X/789/1/80 ADSCrossRefGoogle Scholar
  120. O.A. Katushkina, V.V. Izmodenov, D.B. Alexashov, Mon. Not. R. Astron. Soc. 446, 2929 (2015). doi: 10.1093/mnras/stu2218 ADSCrossRefGoogle Scholar
  121. J. Kleimann, C. Röken, H. Fichtner, J. Heerikhuisen, Astrophys. J. 816, 29 (2016). doi: 10.3847/0004-637X/816/1/29 ADSCrossRefGoogle Scholar
  122. R.S. Klessen, P. Hennebelle, Astron. Astrophys. 520, A17 (2010). doi: 10.1051/0004-6361 ADSCrossRefGoogle Scholar
  123. G. Kowal, A. Lazarian, E.T. Vishniac, K. Otmianowska-Mazur, Astrophys. J. 700, 63 (2009). doi: 10.1088/0004-637X ADSCrossRefGoogle Scholar
  124. G. Kowal, E.M. de Gouveia Dal Pino, A. Lazarian, Astrophys. J. 735, 102 (2011) ADSCrossRefGoogle Scholar
  125. G. Kowal, E.M. de Gouveia Dal Pino, A. Lazarian, Phys. Rev. Lett. 108, 241102 (2012a). doi: 10.1103/PhysRevLett.108.241102 ADSCrossRefGoogle Scholar
  126. G. Kowal, A. Lazarian, E.T. Vishniac, K. Otmianowska-Mazur, Nonlinear Process. Geophys. 19, 297 (2012b). doi: 10.5194/npg-19-297-2012 ADSCrossRefGoogle Scholar
  127. H. Koyama, S. Inutsuka, Astrophys. J. Lett. 564, L97 (2002). doi: 10.1086/338978 ADSCrossRefGoogle Scholar
  128. S.M. Krimigis, E.C. Roelof, R.B. Decker, M.E. Hill, Nature 474, 359 (2011). doi: 10.1038/nature10115 ADSCrossRefGoogle Scholar
  129. S.M. Krimigis, R.B. Decker, E.C. Roelof, M.E. Hill, T.P. Armstrong, G. Gloeckler, D.C. Hamilton, L.J. Lanzerotti, Science 341, 144 (2013). doi: 10.1126/science.1235721 ADSCrossRefGoogle Scholar
  130. A.G. Kritsuk, M.L. Norman, Astrophys. J. Lett. 569, L127 (2002). doi: 10.1086/340785 ADSCrossRefGoogle Scholar
  131. H. Kucharek, S.A. Fuselier, P. Wurz, N. Pogorelov, S. Borovikov, M.A. Lee, E. Moebius, D. Reisenfeld, H. Funsten, N. Schwadron, D. McComas, Astrophys. J. 776, 109 (2013). doi: 10.1088/0004-637X/776/2/109 ADSCrossRefGoogle Scholar
  132. W.S. Kurth, D.A. Gurnett, J. Geophys. Res. Space Phys. 108, 8027 (2003). doi: 10.1029/2003JA009860 ADSCrossRefGoogle Scholar
  133. C.C. Lalescu, Y.K. Shi, G.L. Eyink, T.D. Drivas, E.T. Vishniac, A. Lazarian, Phys. Rev. Lett. 115(2), 025001 (2015). doi: 10.1103/PhysRevLett.115.025001 ADSCrossRefGoogle Scholar
  134. R. Lallement, E. Quémerais, J.L. Bertaux, S. Ferron, D. Koutroumpa, R. Pellinen, Science 307, 1447 (2005). doi: 10.1126/science.1107953 ADSCrossRefGoogle Scholar
  135. R. Lallement, E. Quémerais, D. Koutroumpa, J.L. Bertaux, S. Ferron, W. Schmidt, P. Lamy, Twelfth International Solar Wind Conference 1216, 555 (2010). doi: 10.1063/1.3395925
  136. L.D. Landau, E.M. Lifshitz, Electrodynamics of Continuous Media (Pergamon, Elmsford, 1960) zbMATHGoogle Scholar
  137. U.W. Langner, M.S. Potgieter, Adv. Space Res. 34, 144 (2004). doi: 10.1016/j.asr.2003.01.031 ADSCrossRefGoogle Scholar
  138. U.W. Langner, M.S. Potgieter, H. Fichtner, T. Borrmann, Astrophys. J. 640, 1119 (2006). doi: 10.1086/500162 ADSCrossRefGoogle Scholar
  139. A. Lazarian (2005). ArXiv e-prints Google Scholar
  140. A. Lazarian, Astrophys. J. Lett. 645, L25 (2006). doi: 10.1086/505796 ADSCrossRefGoogle Scholar
  141. A. Lazarian, Space Sci. Rev. 143, 357 (2009). doi: 10.1007/s11214-008-9460-y ADSCrossRefGoogle Scholar
  142. A. Lazarian, Space Sci. Rev. 181, 1 (2014). doi: 10.1007/s11214-013-0031-5 ADSCrossRefGoogle Scholar
  143. A. Lazarian, P. Desiati, Astrophys. J. 722, 188 (2010). doi: 10.1088/0004-637X/722/1/188 ADSCrossRefGoogle Scholar
  144. A. Lazarian, M. Opher, Astrophys. J. 703, 8 (2009). doi: 10.1088/0004-637X ADSCrossRefGoogle Scholar
  145. A. Lazarian, E.T. Vishniac, Astrophys. J. 517, 700 (1999). doi: 10.1086/307233 ADSCrossRefGoogle Scholar
  146. A. Lazarian, E.T. Vishniac, J. Cho, Astrophys. J. 603, 180 (2004). doi: 10.1086/381383 ADSCrossRefGoogle Scholar
  147. A. Lazarian, G. Kowal, M. Takamoto, E.M. de Gouveia Dal Pino, J. Cho, in Theory and Applications of Non-Relativistic and Relativistic Turbulent Reconnection, ed. by W. Gonzalez, E. Parker. Astrophysics and Space Science Library, vol. 427 (2016), p. 409. doi: 10.1007/978-3-319-26432-5_11 Google Scholar
  148. G. Le Chat, K. Issautier, N. Meyer-Vernet, Sol. Phys. 279, 197 (2012). doi: 10.1007/s11207-012-9967-y ADSCrossRefGoogle Scholar
  149. R.J. Leamon, C.W. Smith, N.F. Ness, W.H. Matthaeus, H.K. Wong, J. Geophys. Res. Space Phys. 103, 4775 (1998). doi: 10.1029/97JA03394 ADSCrossRefGoogle Scholar
  150. M.A. Lee, Astrophys. J. Suppl. Ser. 158, 38 (2005). doi: 10.1086/428753 ADSCrossRefGoogle Scholar
  151. P.C. Liewer, S.R. Karmesin, J.U. Brackbill, J. Geophys. Res. Space Phys. 101, 17119 (1996). doi: 10.1029/96JA00606 ADSCrossRefGoogle Scholar
  152. J.L. Linsky, B.E. Wood, Astrophys. J. 463, 254 (1996). doi: 10.1086/177238 ADSCrossRefGoogle Scholar
  153. J.L. Linsky, B.E. Wood, ASTRA Proc. 1, 43 (2014). doi: 10.5194/ap-1-43-2014 ADSCrossRefGoogle Scholar
  154. Y. Lithwick, P. Goldreich, Astrophys. J. 562, 279 (2001). doi: 10.1086/323470 ADSCrossRefGoogle Scholar
  155. M.S. Longair, J. High Energy Astrophys. (2010) Google Scholar
  156. R.V.E. Lovelace, Nature 262, 649 (1976). doi: 10.1038/262649a0 ADSCrossRefGoogle Scholar
  157. X. Luo, M. Zhang, H.K. Rassoul, N.V. Pogorelov, J. Heerikhuisen, Astrophys. J. 764, 85 (2013). doi: 10.1088/0004-637X/764/1/85 ADSCrossRefGoogle Scholar
  158. X. Luo, M. Zhang, M. Potgieter, X. Feng, N. Pogorelov, Astrophys. J. 808 (2015). doi: 10.1088/0004-637X/808/1/82
  159. Y.G. Malama, V.V. Izmodenov, S.V. Chalov, Astron. Astrophys. 445, 693 (2006). doi: 10.1051/0004-6361:20053646 ADSCrossRefGoogle Scholar
  160. R. Manuel, S.E.S. Ferreira, M.S. Potgieter, Astrophys. J. 799, 223 (2015). doi: 10.1088/0004-637X/799/2/223 ADSCrossRefGoogle Scholar
  161. D.C. Martin, M. Seibert, J.D. Neill, D. Schiminovich, K. Forster, R.M. Rich, B.Y. Welsh, B.F. Madore, J.M. Wheatley, P. Morrissey, T.A. Barlow, Nature 448, 780 (2007). doi: 10.1038/nature06003 ADSCrossRefGoogle Scholar
  162. S. Masuda, T. Kosugi, H. Hara, S. Tsuneta, Y. Ogawara, Nature 371, 495 (1994). doi: 10.1038/371495a0 ADSCrossRefGoogle Scholar
  163. W.H. Matthaeus, S.L. Lamkin, Phys. Fluids 28, 303 (1985). doi: 10.1063/1.865147 ADSCrossRefGoogle Scholar
  164. W.H. Matthaeus, S.L. Lamkin, Phys. Fluids 29, 2513 (1986). doi: 10.1063/1.866004 ADSCrossRefGoogle Scholar
  165. W.H. Matthaeus, D.C. Montgomery, M.L. Goldstein, Phys. Rev. Lett. 51, 1484 (1983). doi: 10.1103/PhysRevLett.51.1484 ADSCrossRefGoogle Scholar
  166. D.J. McComas, B.L. Barraclough, H.O. Funsten, J.T. Gosling, E. Santiago-Muñoz, R.M. Skoug, B.E. Goldstein, M. Neugebauer, P. Riley, A. Balogh, J. Geophys. Res. Space Phys. 105, 10419 (2000). doi: 10.1029/1999JA000383 ADSCrossRefGoogle Scholar
  167. D.J. McComas, R.W. Ebert, H.A. Elliott, B.E. Goldstein, J.T. Gosling, N.A. Schwadron, R.M. Skoug, Geophys. Res. Lett. 35, L18103 (2008). doi: 10.1029/2008GL034896 ADSCrossRefGoogle Scholar
  168. D.J. McComas, F. Allegrini, P. Bochsler, M. Bzowski, E.R. Christian, G.B. Crew, R. DeMajistre, H. Fahr, H. Fichtner, P.C. Frisch, H.O. Funsten, S.A. Fuselier, G. Gloeckler, M. Gruntman, J. Heerikhuisen, V. Izmodenov, P. Janzen, P. Knappenberger, S. Krimigis, H. Kucharek, M. Lee, G. Livadiotis, S. Livi, R.J. MacDowall, D. Mitchell, E. Möbius, T. Moore, N.V. Pogorelov, D. Reisenfeld, E. Roelof, L. Saul, N.A. Schwadron, P.W. Valek, R. Vanderspek, P. Wurz, G.P. Zank, Science 326, 959 (2009a). doi: 10.1126/science.1180906 ADSCrossRefGoogle Scholar
  169. D.J. McComas, F. Allegrini, P. Bochsler, M. Bzowski, M. Collier, H. Fahr, H. Fichtner, P. Frisch, H.O. Funsten, S.A. Fuselier, G. Gloeckler, M. Gruntman, V. Izmodenov, P. Knappenberger, M. Lee, S. Livi, D. Mitchell, E. Möbius, T. Moore, S. Pope, D. Reisenfeld, E. Roelof, J. Scherrer, N. Schwadron, R. Tyler, M. Wieser, M. Witte, P. Wurz, G. Zank, Space Sci. Rev. 146, 11 (2009b). doi: 10.1007/s11214-009-9499-4 ADSCrossRefGoogle Scholar
  170. D.J. McComas, D. Alexashov, M. Bzowski, H. Fahr, J. Heerikhuisen, V. Izmodenov, M.A. Lee, E. Möbius, N. Pogorelov, N.A. Schwadron, G.P. Zank, Science 336, 1291 (2012). doi: 10.1126/science.1221054 ADSCrossRefGoogle Scholar
  171. D.J. McComas, M.A. Dayeh, H.O. Funsten, G. Livadiotis, N.A. Schwadron, Astrophys. J. 771, 77 (2013). doi: 10.1088/0004-637X/771/2/77 ADSCrossRefGoogle Scholar
  172. D.J. McComas, M. Bzowski, P. Frisch, S.A. Fuselier, M.A. Kubiak, H. Kucharek, T. Leonard, E. Möbius, N.A. Schwadron, J.M. Sokół, P. Swaczyna, M. Witte, Astrophys. J. 801, 28 (2015a). doi: 10.1088/0004-637X/801/1/28 ADSCrossRefGoogle Scholar
  173. D.J. McComas, M. Bzowski, S.A. Fuselier, P.C. Frisch, A. Galli, V.V. Izmodenov, O.A. Katushkina, M.A. Kubiak, M.A. Lee, T.W. Leonard, E. Möbius, J. Park, N.A. Schwadron, J.M. Sokół, P. Swaczyna, B.E. Wood, P. Wurz, Astrophys. J. Suppl. Ser. 220, 22 (2015b). doi: 10.1088/0067-0049/220/2/22 ADSCrossRefGoogle Scholar
  174. C.F. McKee, J.P. Ostriker, Astrophys. J. 218, 148 (1977). doi: 10.1086/155667 ADSCrossRefGoogle Scholar
  175. J.J. Mitchell, I.H. Cairns, N.V. Pogorelov, G.P. Zank, J. Geophys. Res. Space Phys. 113, A04102 (2008). doi: 10.1029/2006JA012173 ADSGoogle Scholar
  176. E. Möbius, P. Bochsler, M. Bzowski, D. Heirtzler, M.A. Kubiak, H. Kucharek, M.A. Lee, T. Leonard, N.A. Schwadron, X. Wu, S.A. Fuselier, G. Crew, D.J. McComas, L. Petersen, L. Saul, D. Valovcin, R. Vanderspek, P. Wurz, Astrophys. J. Suppl. Ser. 198, 11 (2012). doi: 10.1088/0067-0049/198/2/11 ADSCrossRefGoogle Scholar
  177. H.K. Moffatt, Magnetic Field Generation in Electrically Conducting Fluids (1978) Google Scholar
  178. D. Montgomery, L. Turner, Phys. Fluids 24, 825 (1981). doi: 10.1063/1.863455 ADSCrossRefGoogle Scholar
  179. H.R. Müller, G.P. Zank, J. Geophys. Res. Space Phys. 109, A07104 (2004). doi: 10.1029/2003JA010269 ADSGoogle Scholar
  180. F. Nakamura, Z.Y. Li, Astrophys. J. 662, 395 (2007). doi: 10.1086/517515 ADSCrossRefGoogle Scholar
  181. F. Nakamura, C.F. McKee, R.I. Klein, R.T. Fisher, Astrophys. J. Suppl. Ser. 164, 477 (2006). doi: 10.1086/501530 ADSCrossRefGoogle Scholar
  182. R. Narayan, M.V. Medvedev, Mon. Not. R. Astron. Soc. 343, 1007 (2003). doi: 10.1046/j.1365-8711.2003.06747.x ADSCrossRefGoogle Scholar
  183. S. Nerney, S.T. Suess, E.J. Schmahl, Astron. Astrophys. 250, 556 (1991) ADSGoogle Scholar
  184. S. Nerney, S.T. Suess, E.J. Schmahl, J. Geophys. Res. Space Phys. 98, 15 (1993). doi: 10.1029/93JA01177 CrossRefGoogle Scholar
  185. M.D. Ngobeni, M.S. Potgieter, Adv. Space Res. 53, 1634 (2014). doi: 10.1016/j.asr.2014.03.004 ADSCrossRefGoogle Scholar
  186. G.S. Nkosi, M.S. Potgieter, W.R. Webber, Adv. Space Res. 48, 1480 (2011). doi: 10.1016/j.asr.2011.06.017 ADSCrossRefGoogle Scholar
  187. M. Opher, Space Sci. Rev. 200, 475 (2016). doi: 10.1007/s11214-015-0186-3 ADSCrossRefGoogle Scholar
  188. M. Opher, J.F. Drake, Astrophys. J. Lett. 778, L26 (2013). doi: 10.1088/2041-8205/778/2/L26 ADSCrossRefGoogle Scholar
  189. M. Opher, E.C. Stone, P.C. Liewer, Astrophys. J. Lett. 640, L71 (2006). doi: 10.1086/503251 ADSCrossRefGoogle Scholar
  190. M. Opher, E.C. Stone, T.I. Gombosi, Science 316, 875 (2007). doi: 10.1126/science.1139480 ADSCrossRefGoogle Scholar
  191. M. Opher, J.F. Drake, M. Swisdak, K.M. Schoeffler, J.D. Richardson, R.B. Decker, G. Toth, Astrophys. J. 734, 71 (2011). doi: 10.1088/0004-637X/734/1/71 ADSCrossRefGoogle Scholar
  192. M. Opher, J.F. Drake, M. Velli, R.B. Decker, G. Toth, Astrophys. J. 751, 80 (2012). doi: 10.1088/0004-637X/751/2/80 ADSCrossRefGoogle Scholar
  193. M. Opher, J.F. Drake, B. Zieger, T.I. Gombosi, Astrophys. J. Lett. 800, L28 (2015). doi: 10.1088/2041-8205/800/2/L28 ADSCrossRefGoogle Scholar
  194. S. Oughton, P. Dmitruk, W.H. Matthaeus, in Turbulence and Magnetic Fields in Astrophysics, ed. by E. Falgarone, T. Passot. Lecture Notes in Physics, Berlin Springer Verlag, vol. 614 (2003) pp. 28–55 CrossRefGoogle Scholar
  195. E.N. Parker, Astrophys. J. 134, 20 (1961). doi: 10.1086/147124 ADSCrossRefGoogle Scholar
  196. E.N. Parker, Planet. Space Sci. 13, 9 (1965) ADSCrossRefGoogle Scholar
  197. E.N. Parker, Astrophys. J. 162, 665 (1970). doi: 10.1086/150697 ADSCrossRefGoogle Scholar
  198. E.N. Parker, Cosmical Magnetic Fields: Their Origin and Their Activity (1979) Google Scholar
  199. H.L. Pauls, G.P. Zank, J. Geophys. Res. Space Phys. 102, 19779 (1997). doi: 10.1029/97JA01716 ADSCrossRefGoogle Scholar
  200. H.L. Pauls, G.P. Zank, L.L. Williams, J. Geophys. Res. Space Phys. 100, 21595 (1995). doi: 10.1029/95JA02023 ADSCrossRefGoogle Scholar
  201. S. Perri, G. Zimbardo, Astrophys. J. 750, 87 (2012). doi: 10.1088/0004-637X/750/2/87 ADSCrossRefGoogle Scholar
  202. N.V. Pogorelov, J. Phys. Conf. Ser. 719(1), 012013 (2016). doi: 10.1088/1742-6596/719/1/012013 CrossRefGoogle Scholar
  203. N.V. Pogorelov, S.N. Borovikov, in Outstanding Problems in Heliophysics: From Coronal Heating to the Edge of the Heliosphere, ed. by Q. Hu, G.P. Zank. Astronomical Society of the Pacific Conference Series, vol. 484 (2014) p. 174 Google Scholar
  204. N.V. Pogorelov, S.N. Borovikov, in Mixing of the Interstellar and Solar Plasmas at the Heliospheric Interface, ed. by N.V. Pogorelov, E. Audit, G.P. Zank. Astronomical Society of the Pacific Conference Series, vol. 498 (2015), p. 160 Google Scholar
  205. N.V. Pogorelov, T. Matsuda, J. Geophys. Res. Space Phys. 103, 237 (1998). doi: 10.1029/97JA02446 ADSCrossRefGoogle Scholar
  206. N.V. Pogorelov, G.P. Zank, T. Ogino, Astrophys. J. 614, 1007 (2004). doi: 10.1086/423798 ADSCrossRefGoogle Scholar
  207. N.V. Pogorelov, G.P. Zank, T. Ogino, Astrophys. J. 644, 1299 (2006). doi: 10.1086/503703 ADSCrossRefGoogle Scholar
  208. N.V. Pogorelov, E.C. Stone, V. Florinski, G.P. Zank, Astrophys. J. 668, 611 (2007). doi: 10.1086/520952 ADSCrossRefGoogle Scholar
  209. N.V. Pogorelov, J. Heerikhuisen, G.P. Zank, Astrophys. J. Lett. 675, L41 (2008). doi: 10.1086/529547 ADSCrossRefGoogle Scholar
  210. N.V. Pogorelov, S.N. Borovikov, G.P. Zank, T. Ogino, Astrophys. J. 696, 1478 (2009a). doi: 10.1088/0004-637X/696/2/1478 ADSCrossRefGoogle Scholar
  211. N.V. Pogorelov, J. Heerikhuisen, J.J. Mitchell, I.H. Cairns, G.P. Zank, Astrophys. J. Lett. 695, L31 (2009b). doi: 10.1088/0004-637X/695/1/L31 ADSCrossRefGoogle Scholar
  212. N.V. Pogorelov, J. Heerikhuisen, G.P. Zank, S.N. Borovikov, Space Sci. Rev. 143, 31 (2009c). doi: 10.1007/s11214-008-9429-x ADSCrossRefGoogle Scholar
  213. N.V. Pogorelov, J. Heerikhuisen, G.P. Zank, J.J. Mitchell, I.H. Cairns, Adv. Space Res. 44, 1337 (2009d). doi: 10.1016/j.asr.2009.07.019 ADSCrossRefGoogle Scholar
  214. N.V. Pogorelov, J. Heerikhuisen, G.P. Zank, S.N. Borovikov, P.C. Frisch, D.J. McComas, Astrophys. J. 742, 104 (2011). doi: 10.1088/0004-637X/742/2/104 ADSCrossRefGoogle Scholar
  215. N.V. Pogorelov, S.N. Borovikov, G.P. Zank, L.F. Burlaga, R.A. Decker, E.C. Stone, Astrophys. J. Lett. 750, L4 (2012). doi: 10.1088/2041-8205/750/1/L4 ADSCrossRefGoogle Scholar
  216. N.V. Pogorelov, S.T. Suess, S.N. Borovikov, R.W. Ebert, D.J. McComas, G.P. Zank, Astrophys. J. 772, 2 (2013). doi: 10.1088/0004-637X/772/1/2 ADSCrossRefGoogle Scholar
  217. N.V. Pogorelov, S.N. Borovikov, J. Heerikhuisen, M. Zhang, Astrophys. J. Lett. 812, L6 (2015). doi: 10.1088/2041-8205/812/1/L6 ADSCrossRefGoogle Scholar
  218. N.V. Pogorelov, M.C. Bedford, I.A. Kryukov, G.P. Zank, J. Phys. Conf. Ser. 767(1), 012020 (2016). doi: 10.1088/1742-6596/767/1/012020 CrossRefGoogle Scholar
  219. M.S. Potgieter, Living Rev. Sol. Phys. 10, 3 (2013). doi: 10.12942/lrsp-2013-3 ADSCrossRefGoogle Scholar
  220. M.S. Potgieter, R.R. Nndanganeni, Astrophys. Space Sci. 345, 33 (2013). doi: 10.1007/s10509-013-1365-x ADSCrossRefGoogle Scholar
  221. E.R. Priest, T.G. Forbes, Annu. Rev. Astron. Astrophys. 10, 313 (2002). doi: 10.1007/s001590100013 CrossRefGoogle Scholar
  222. M.I. Pudovkin, V.S. Semenov, Ann. Geophys. 33, 423 (1977a) Google Scholar
  223. M.I. Pudovkin, V.S. Semenov, Ann. Geophys. 33, 429 (1977b) Google Scholar
  224. R. Ratkiewicz, A. Barnes, G.A. Molvik, J.R. Spreiter, S.S. Stahara, M. Vinokur, S. Venkateswaran, Astron. Astrophys. 335, 363 (1998) ADSGoogle Scholar
  225. J.D. Richardson, Geophys. Res. Lett. 35, L23104 (2008). doi: 10.1029/2008GL036168 ADSCrossRefGoogle Scholar
  226. J.D. Richardson, K.I. Paularena, A.J. Lazarus, J.W. Belcher, Geophys. Res. Lett. 22, 1469 (1995). doi: 10.1029/95GL01421 ADSCrossRefGoogle Scholar
  227. J.D. Richardson, J.C. Kasper, C. Wang, J.W. Belcher, A.J. Lazarus, Nature 454, 63 (2008). doi: 10.1038/nature07024 ADSCrossRefGoogle Scholar
  228. P.H. Roberts, Astrophys. J. 124, 430 (1956). doi: 10.1086/146238 ADSCrossRefGoogle Scholar
  229. C. Röken, J. Kleimann, H. Fichtner, Astrophys. J. 805, 173 (2015). doi: 10.1088/0004-637X/805/2/173 ADSCrossRefGoogle Scholar
  230. D. Rucinski, H.J. Fahr, Astron. Astrophys. 224, 290 (1989) ADSGoogle Scholar
  231. M.S. Ruderman, H.J. Fahr, Astron. Astrophys. 275, 635 (1993) ADSGoogle Scholar
  232. M.S. Ruderman, H.J. Fahr, Astron. Astrophys. 299, 258 (1995) ADSGoogle Scholar
  233. R. Sahai, C.K. Chronopoulos, Astrophys. J. Lett. 711, L53 (2010). doi: 10.1088/2041-8205/711/2/L53 ADSCrossRefGoogle Scholar
  234. K. Scherer, H.J. Fahr, Ann. Geophys. 21, 1303 (2003). doi: 10.5194/angeo-21-1303-2003 ADSCrossRefGoogle Scholar
  235. K. Scherer, H. Fichtner, Astrophys. J. 782, 25 (2014). doi: 10.1088/0004-637X/782/1/25 ADSCrossRefGoogle Scholar
  236. K. Scherer, H. Fichtner, R.D. Strauss, S.E.S. Ferreira, M.S. Potgieter, H.J. Fahr, Astrophys. J. 735, 128 (2011). doi: 10.1088/0004-637X/735/2/128 ADSCrossRefGoogle Scholar
  237. K. Scherer, H. Fichtner, H.J. Fahr, M. Bzowski, S.E.S. Ferreira, Astron. Astrophys. 563, A69 (2014). doi: 10.1051/0004-6361/201321151 CrossRefGoogle Scholar
  238. R. Schlickeiser, Cosmic Ray Astrophysics. Astronomy and Astrophysics Library (Springer, Berlin, 2002). ISBN 3-540-66465-3 CrossRefGoogle Scholar
  239. R. Schlickeiser, in Energy Conversion and Particle Acceleration in the Solar Corona, ed. by L. Klein. Lecture Notes in Physics, Berlin Springer Verlag, vol. 612 (2003), pp. 230–260 CrossRefGoogle Scholar
  240. N.A. Schwadron, D.J. McComas, Astrophys. J. Lett. 778, L33 (2013). doi: 10.1088/2041-8205/778/2/L33 ADSCrossRefGoogle Scholar
  241. N.A. Schwadron, F.C. Adams, E.R. Christian, P. Desiati, P. Frisch, H.O. Funsten, J.R. Jokipii, D.J. McComas, E. Moebius, G.P. Zank, Science 343, 988 (2014a). doi: 10.1126/science.1245026 ADSCrossRefGoogle Scholar
  242. N.A. Schwadron, E. Moebius, S.A. Fuselier, D.J. McComas, H.O. Funsten, P. Janzen, D. Reisenfeld, H. Kucharek, M.A. Lee, K. Fairchild, F. Allegrini, M. Dayeh, G. Livadiotis, M. Reno, M. Bzowski, J.M. Sokół, M.A. Kubiak, E.R. Christian, R. DeMajistre, P. Frisch, A. Galli, P. Wurz, M. Gruntman, Astrophys. J. Suppl. Ser. 215, 13 (2014b). doi: 10.1088/0067-0049/215/1/13 ADSCrossRefGoogle Scholar
  243. J.A. Sellwood, S.A. Balbus, Astrophys. J. 511, 660 (1999). doi: 10.1086/306728 ADSCrossRefGoogle Scholar
  244. A. Shalchi, Nonlinear Cosmic Ray Diffusion Theories. Astronomy and Astrophysics Library, vol. 362 (Springer, Berlin, 2009). ISBN 978-3-642-00308-0 Google Scholar
  245. M.A. Shay, J.F. Drake, R.E. Denton, D. Biskamp, J. Geophys. Res. Space Phys. 103, 9165 (1998). doi: 10.1029/97JA03528 ADSCrossRefGoogle Scholar
  246. J.V. Shebalin, W.H. Matthaeus, D. Montgomery, J. Plasma Phys. 29, 525 (1983). doi: 10.1017/S0022377800000933 ADSCrossRefGoogle Scholar
  247. M. Siewert, H.J. Fahr, D.J. McComas, N.A. Schwadron, Astron. Astrophys. 551, A58 (2013). doi: 10.1051/0004-6361/201219241 CrossRefGoogle Scholar
  248. J. Skilling, Astrophys. J. 170, 265 (1971). doi: 10.1086/151210 ADSCrossRefGoogle Scholar
  249. J.D. Slavin, P.C. Frisch, Astron. Astrophys. 491, 53 (2008). doi: 10.1051/0004-6361:20078101 ADSCrossRefGoogle Scholar
  250. J.M. Sokół, P. Swaczyna, M. Bzowski, M. Tokumaru, Sol. Phys. 290, 2589 (2015). doi: 10.1007/s11207-015-0800-2 ADSCrossRefGoogle Scholar
  251. O. Sternal, N.E. Engelbrecht, R.A. Burger, S.E.S. Ferreira, H. Fichtner, B. Heber, A. Kopp, M.S. Potgieter, K. Scherer, Astrophys. J. 741, 23 (2011). doi: 10.1088/0004-637X/741/1/23 ADSCrossRefGoogle Scholar
  252. E.C. Stone, A.C. Cummings, F.B. McDonald, B.C. Heikkila, N. Lal, W.R. Webber, Science 341, 150 (2013). doi: 10.1126/science.1236408 ADSCrossRefGoogle Scholar
  253. R.D. Strauss, H. Fichtner, Astron. Astrophys. 572, L3 (2014). doi: 10.1051/0004-6361/201424842 ADSCrossRefGoogle Scholar
  254. R.D. Strauss, M.S. Potgieter, Adv. Space Res. 53, 1015 (2014). doi: 10.1016/j.asr.2014.01.004 ADSCrossRefGoogle Scholar
  255. R.D. Strauss, M.S. Potgieter, I. Büsching, A. Kopp, Astrophys. J. 735, 83 (2011). doi: 10.1088/0004-637X/735/2/83 ADSCrossRefGoogle Scholar
  256. R.D. Strauss, M.S. Potgieter, S.E.S. Ferreira, H. Fichtner, K. Scherer, Astrophys. J. Lett. 765, L18 (2013). doi: 10.1088/2041-8205/765/1/L18 ADSCrossRefGoogle Scholar
  257. R.D. Strauss, J.A. le Roux, N.E. Engelbrecht, D. Ruffolo, P. Dunzlaff, Astrophys. J. 825, 43 (2016). doi: 10.3847/0004-637X/825/1/43 ADSCrossRefGoogle Scholar
  258. R.D. Strauss, H. Fichtner, M.S. Potgieter, J. le Roux, X. Luo, J. Phys. Conf. Ser. 642(1), 012026 (2015). doi: 10.1088/1742-6596/642/1/012026 CrossRefGoogle Scholar
  259. M. Strumik, S. Grzedzielski, A. Czechowski, W.M. Macek, R. Ratkiewicz, Astrophys. J. Lett. 782, L7 (2014). doi: 10.1088/2041-8205/782/1/L7 ADSCrossRefGoogle Scholar
  260. S.T. Suess, Rev. Geophys. 28, 97 (1990) ADSCrossRefGoogle Scholar
  261. S.T. Suess, S. Nerney, J. Geophys. Res. Space Phys. 95, 6403 (1990). doi: 10.1029/JA095iA05p06403 ADSCrossRefGoogle Scholar
  262. A. Sylla, H. Fichtner, Astrophys. J. 811, 150 (2015). doi: 10.1088/0004-637X/811/2/150 ADSCrossRefGoogle Scholar
  263. M. Takamoto, T. Inoue, A. Lazarian, Astrophys. J. 815, 16 (2015). doi: 10.1088/0004-637X/815/1/16 ADSCrossRefGoogle Scholar
  264. T. Tanaka, H. Washimi, J. Geophys. Res. Space Phys. 104, 12605 (1999). doi: 10.1029/1999JA900011 ADSCrossRefGoogle Scholar
  265. A.V. Usmanov, M.L. Goldstein, W.H. Matthaeus, Astrophys. J. 754, 40 (2012). doi: 10.1088/0004-637X/754/1/40 ADSCrossRefGoogle Scholar
  266. A.V. Usmanov, M.L. Goldstein, W.H. Matthaeus, Astrophys. J. 788, 43 (2014). doi: 10.1088/0004-637X/788/1/43 ADSCrossRefGoogle Scholar
  267. A.V. Usmanov, M.L. Goldstein, W.H. Matthaeus, Astrophys. J. 820, 17 (2016). doi: 10.3847/0004-637X/820/1/17 ADSCrossRefGoogle Scholar
  268. V.M. Vasyliunas, G.L. Siscoe, J. Geophys. Res. Space Phys. 81, 1247 (1976). doi: 10.1029/JA081i007p01247 ADSCrossRefGoogle Scholar
  269. A. Verdini, M. Velli, Astrophys. J. 662, 669 (2007). doi: 10.1086/510710 ADSCrossRefGoogle Scholar
  270. E.T. Vishniac, A. Lazarian, J. Cho, in Turbulence and Magnetic Fields in Astrophysics, ed. by E. Falgarone, T. Passot. Lecture Notes in Physics, Berlin Springer Verlag, vol. 614 (2003), pp. 376–401 CrossRefGoogle Scholar
  271. M. Wallis, Nat. Phys. Sci. 233, 23 (1971). doi: 10.1038/physci233023a0 ADSCrossRefGoogle Scholar
  272. M.K. Wallis, Nature 254, 202 (1975). doi: 10.1038/254202a0 ADSCrossRefGoogle Scholar
  273. H. Washimi, G.P. Zank, Q. Hu, T. Tanaka, K. Munakata, H. Shinagawa, Mon. Not. R. Astron. Soc. 416, 1475 (2011). doi: 10.1111/j.1365-2966.2011.19144.x ADSCrossRefGoogle Scholar
  274. G.M. Webb, Astron. Astrophys. 127, 97 (1983) ADSGoogle Scholar
  275. W.R. Webber, D.S. Intriligator (2015). ArXiv e-prints Google Scholar
  276. W.R. Webber, F.B. McDonald, Geophys. Res. Lett. 40, 1665 (2013). doi: 10.1002/grl.50383 ADSCrossRefGoogle Scholar
  277. W.R. Webber, A.C. Cummings, E.C. Stone, F.B. McDonald, N. Lal, B. Heikkila, J. Geophys. Res. Space Phys. 110, A07106 (2005). doi: 10.1029/2005JA011123 ADSGoogle Scholar
  278. T. Wiengarten, S. Oughton, E. Engelbrecht, H. Fichtner, J. Kleimann, K. Scherer (2016). ArXiv e-prints Google Scholar
  279. M. Witte, Astron. Astrophys. 426, 835 (2004). doi: 10.1051/0004-6361:20035956 ADSCrossRefGoogle Scholar
  280. B.E. Wood, V.V. Izmodenov, J.L. Linsky, D. Alexashov, Astrophys. J. 659, 1784 (2007). doi: 10.1086/512482 ADSCrossRefGoogle Scholar
  281. B.E. Wood, V.V. Izmodenov, Y.G. Malama, Space Sci. Rev. 143, 21 (2009). doi: 10.1007/s11214-008-9369-5 ADSCrossRefGoogle Scholar
  282. B.E. Wood, V.V. Izmodenov, D.B. Alexashov, S. Redfield, E. Edelman, Astrophys. J. 780, 108 (2014). doi: 10.1088/0004-637X/780/1/108 ADSCrossRefGoogle Scholar
  283. P. Wurz, in The Outer Heliosphere: Beyond the Planets. Copernicus Gesellschaft e.V., Katlenburg-Lindau, Germany, vol. 471, ed. by K. Scherer, H. Fichtner, E. Marsch (2000), pp. 251–288 Google Scholar
  284. P. Wurz, A. Galli, S. Barabash, A. Grigoriev, Astrophys. J. 683, 248–254 (2008). doi: 10.1086/589854 ADSCrossRefGoogle Scholar
  285. H. Yan, A. Lazarian, Phys. Rev. Lett. 89, 281102 (2002). doi: 10.1103/PhysRevLett.89.281102 ADSCrossRefGoogle Scholar
  286. H. Yan, A. Lazarian, Astrophys. J. 614, 757 (2004). doi: 10.1086/423733 ADSCrossRefGoogle Scholar
  287. T. Yokoyama, K. Shibata, Nature 375, 42 (1995). doi: 10.1038/375042a0 ADSCrossRefGoogle Scholar
  288. G. Yu, Astrophys. J. 194, 187 (1974). doi: 10.1086/153235 ADSCrossRefGoogle Scholar
  289. G.P. Zank, Space Sci. Rev. 89, 413 (1999a) ADSCrossRefGoogle Scholar
  290. G.P. Zank, in The Dynamical Heliosphere, ed. by S.R. Habbal, R. Esser, J.V. Hollweg, P.A. Isenberg. American Institute of Physics Conference Series, vol. 471 (1999b), pp. 783–786. doi: 10.1063/1.58660 Google Scholar
  291. G.P. Zank, Annu. Rev. Astron. Astrophys. 53, 449 (2015). doi: 10.1146/annurev-astro-082214-122254 ADSCrossRefGoogle Scholar
  292. G.P. Zank, Geosci. Lett. 3(1), 22 (2016) ADSCrossRefGoogle Scholar
  293. G.P. Zank, H.L. Pauls, L.L. Williams, D.T. Hall, J. Geophys. Res. Space Phys. 101, 21639 (1996). doi: 10.1029/96JA02127 ADSCrossRefGoogle Scholar
  294. G.P. Zank, J. Heerikhuisen, N.V. Pogorelov, R. Burrows, D. McComas, Astrophys. J. 708, 1092 (2010). doi: 10.1088/0004-637X/708/2/1092 ADSCrossRefGoogle Scholar
  295. G.P. Zank, J. Heerikhuisen, B.E. Wood, N.V. Pogorelov, E. Zirnstein, D.J. McComas, Astrophys. J. 763, 20 (2013). doi: 10.1088/0004-637X/763/1/20 ADSCrossRefGoogle Scholar
  296. G.P. Zank, P. Hunana, P. Mostafavi, M.L. Goldstein, Astrophys. J. 797, 87 (2014). doi: 10.1088/0004-637X/797/2/87 ADSCrossRefGoogle Scholar
  297. M. Zhang, P. Zuo, N. Pogorelov, Astrophys. J. 790, 5 (2014). doi: 10.1088/0004-637X/790/1/5 ADSCrossRefGoogle Scholar
  298. B. Zieger, M. Opher, N.A. Schwadron, D.J. McComas, G. Tóth, Geophys. Res. Lett. 40, 2923 (2013). doi: 10.1002/grl.50576 ADSCrossRefGoogle Scholar
  299. G. Zimbardo, E. Amato, A. Bovet, F. Effenberger, A. Fasoli, H. Fichtner, I. Furno, K. Gustafson, P. Ricci, S. Perri, J. Plasma Phys. 81(6), 495810601 (2015). doi: 10.1017/S0022377815001117 CrossRefGoogle Scholar
  300. E.J. Zirnstein, J. Heerikhuisen, G.P. Zank, N.V. Pogorelov, D.J. McComas, M.I. Desai, Astrophys. J. 783, 129 (2014). doi: 10.1088/0004-637X/783/2/129 ADSCrossRefGoogle Scholar
  301. E.J. Zirnstein, J. Heerikhuisen, N.V. Pogorelov, D.J. McComas, M.A. Dayeh, Astrophys. J. 804, 5 (2015). doi: 10.1088/0004-637X/804/1/5 ADSCrossRefGoogle Scholar
  302. E.J. Zirnstein, J. Heerikhuisen, H.O. Funsten, G. Livadiotis, D.J. McComas, N.V. Pogorelov, Astrophys. J. Lett. 818, L18 (2016a). doi: 10.3847/2041-8205/818/1/L18 ADSCrossRefGoogle Scholar
  303. E.J. Zirnstein, J. Heerikhuisen, G.P. Zank, N.V. Pogorelov, D.J. McComas, M.A. Dayeh, Astrophys. J. (2016b) Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2017

Authors and Affiliations

  • N. V. Pogorelov
    • 1
    Email author
  • H. Fichtner
    • 2
  • A. Czechowski
    • 3
  • A. Lazarian
    • 4
  • B. Lembege
    • 5
  • J. A. le Roux
    • 1
  • M. S. Potgieter
    • 6
  • K. Scherer
    • 2
  • E. C. Stone
    • 7
  • R. D. Strauss
    • 6
  • T. Wiengarten
    • 2
  • P. Wurz
    • 8
  • G. P. Zank
    • 1
  • M. Zhang
    • 9
  1. 1.The University of Alabama in HuntsvilleHuntsvilleUSA
  2. 2.Institut für Theoretische Physik IVRuhr-Universität BochumBochumGermany
  3. 3.Space Research CentreWarsawPoland
  4. 4.University of WisconsinMadisonUSA
  5. 5.Labor. Atmosphères, Milieux, Observations Spatiales (LATMOS)GuyancourtFrance
  6. 6.North-West UniversityCampus PotchefstroomSouth Africa
  7. 7.California Institute of TechnologyPasadenaUSA
  8. 8.Universität BernBernSwitzerland
  9. 9.Florida Institute of TechnologyMelbourneUSA

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