Published Online: 06 February 2017
Accepted: January 2017
Physics of Plasmas 24, 022901 (2017); https://doi.org/10.1063/1.4975310
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We investigate the formation of collisionless magnetized shocks triggered by the interaction between magnetized plasma flows and miniature-sized (order of plasma kinetic-scales) magnetic obstacles resorting to massively parallel, full particle-in-cell simulations, including the electron kinetics. The critical obstacle size to generate a compressed plasma region ahead of these objects is determined by independently varying the magnitude of the dipolar magnetic moment and the plasma magnetization. We find that the effective size of the obstacle depends on the relative orientation between the dipolar and plasma internal magnetic fields, and we show that this may be critical to form a shock in small-scale structures. We study the microphysics of the magnetopause in different magnetic field configurations in 2D and compare the results with full 3D simulations. Finally, we evaluate the parameter range where such miniature magnetized shocks can be explored in laboratory experiments.
This work was supported by the European Research Council (InPairs ERC-2015-AdG 695088) and the Calouste Gulbenkian Foundation through the 2016 Scientific Research Stimulus Program. Simulations were performed at the ACCELERATES cluster (Lisbon, Portugal).
  1. 1. C. T. Russel, “ The magnetosphere,” Annu. Rev. Earth Planet. Sci. 19, 169–182 (1991). https://doi.org/10.1146/annurev.ea.19.050191.001125, Google ScholarCrossref
  2. 2. D. S. Colburn, R. G. Currie, J. D. Mihalov, and C. P. Sonett, “ Diamagnetic solar-wind cavity discovered behind moon,” Science 158, 1040–1042 (1967). https://doi.org/10.1126/science.158.3804.1040, Google ScholarCrossref
  3. 3. R. P. Lin, D. L. Mitchell, D. W. Curtis, K. A. Anderson, C. W. Carlson, J. McFadden, M. H. Acuña, L. L. Hood, and A. Binder, “ Lunar surface magnetic fields and their interaction with the solar wind: Results from lunar prospector,” Science 281, 1480–1484 (1998). https://doi.org/10.1126/science.281.5382.1480, Google ScholarCrossref
  4. 4. C. A. Dwyer, D. J. Stevenson, and F. Nimmo, “ A long-lived lunar dynamo driven by continuous mechanical stirring,” Nature 479, 212–214 (2011). https://doi.org/10.1038/nature10564, Google ScholarCrossref
  5. 5. R. J. Lillis, S. Robbins, M. Manga, J. S. Halekas, and H. V. Frey, “ Time history of the Martian dynamo from crater magnetic field analysis,” J. Geophys. Res. Planets 118, 1488–1511, doi: https://doi.org/10.1002/jgre.20105 (2013). Google ScholarCrossref
  6. 6. C. T. Russell, J. L. Phillips, M. R. Arghavani, J. D. Mihalov, W. C. Knudsen, and K. Miller, “ A possible observation of a cometary bow shock,” Geophys. Res. Lett. 11, 1022–1025, doi: https://doi.org/10.1029/GL011i010p01022 (1984). Google ScholarCrossref
  7. 7. J. H. Adams, D. H. Hathaway, R. N. Grugel, J. W. Watts, T. A. Parnell, J. C. Gregory, and R. M. Winglee, “ Revolutionary concepts of radiation shielding for human exploration of space,” Report No. NASA/TM-2005-213688, M-1133, 2005. Google Scholar
  8. 8. E. N. Parker, “ Shielding space travelers,” Sci. Am. 294, 40–47 (2006). https://doi.org/10.1038/scientificamerican0306-40, Google ScholarCrossref
  9. 9. R. A. Bamford, B. Kellett, J. Bradford, T. N. Todd, M. G. Benton, Sr., R. Stafford-Allen, E. P. Alves, L. O. Silva, C. Collingwood, I. A. Crawford, and R. Bingham, “ An exploration of the effectiveness of artificial mini-magnetospheres as a potential solar storm shelter for long term human space missions,” Acta Astronaut. 105, 385–394 (2014). https://doi.org/10.1016/j.actaastro.2014.10.012, Google ScholarCrossref
  10. 10. R. M. Winglee, J. Slough, T. Ziemba, and A. Goodson, “ Mini-magnetospheric plasma propulsion: Tapping the energy of the solar wind for spacecraft propulsion,” J. Geophys. Res. 105, 21067–21077, doi: https://doi.org/10.1029/1999JA000334 (2000). Google ScholarCrossref
  11. 11. P. Brady, T. Ditmire, W. Horton, M. L. Mays, and Y. Zakharov, “ Laboratory experiments simulating solar wind driven magnetospheres,” Phys. Plasmas 16, 043112 (2009). https://doi.org/10.1063/1.3085786, Google ScholarScitation
  12. 12. I. F. Shaikhislamov, V. M. Antonov, Y. P. Zakharov, E. L. Boyarintsev, A. V. Melekhov, V. G. Posukh, and A. G. Ponomarenko, “ Laboratory simulation of field aligned currents in an experiment on laser-produced plasma interacting with a magnetic dipole,” Plasma Phys. Controlled Fusion 51, 105005 (2009). https://doi.org/10.1088/0741-3335/51/10/105005, Google ScholarCrossref
  13. 13. I. F. Shaikhislamov, V. M. Antonov, Y. P. Zakharov, E. L. Boyarintsev, A. V. Melekhov, V. G. Posukh, and A. G. Ponomarenko, “ Mini-magnetosphere: Laboratory experiment, physical model and Hall MHD simulation,” Adv. Space Res. 52, 422–436 (2013). https://doi.org/10.1016/j.asr.2013.03.034, Google ScholarCrossref
  14. 14. R. A. Bamford, B. Kellett, W. J. Bradford, C. Norberg, A. Thornton, K. J. Gibson, I. A. Crawford, L. O. Silva, L. Gargaté, and R. Bingham, “ Minimagnetospheres above the lunar surface and the formation of lunar swirls,” Phys. Rev. Lett. 109, 081101 (2012). https://doi.org/10.1103/PhysRevLett.109.081101, Google ScholarCrossref
  15. 15. L. Gargaté, R. Bingham, R. A. Fonseca, R. A. Bamford, A. Thornton, K. Gibson, J. Bradford, and L. O. Silva, “ Hybrid simulations of mini-magnetospheres in the laboratory,” Plasma Phys. Controlled Fusion 50, 074017 (2008). https://doi.org/10.1088/0741-3335/50/7/074017, Google ScholarCrossref
  16. 16. N. L. Kugland, D. D. Ryutov, P.-Y. Chang, R. P. Drake, G. Fiksel, D. H. Froula, S. H. Glenzer, G. Gregori, M. Grosskopf, M. Koenig, Y. Kuramitsu, C. Kuranz, M. C. Levy, E. Liang, J. Meinecke, F. Miniati, T. Morita, A. Pelka, C. Plechaty, R. Presura, A. Ravasio, B. A. Remington, B. Reville, J. S. Ross, Y. Sakawa, A. Spitkovsky, H. Takabe, and H.-S. Park, “ Self-organized electromagnetic field structures in laser-produced counter-streaming plasmas,” Nat. Phys. 8, 809–812 (2012). https://doi.org/10.1038/nphys2434, Google ScholarCrossref
  17. 17. W. Fox, G. Fiksel, A. Bhattacharjee, P.-Y. Chang, K. Germaschewski, S. X. Hu, and P. M. Nilson, “ Filamentation instability of counterstreaming laser-driven plasmas,” Phys. Rev. Lett. 111, 225002 (2013). https://doi.org/10.1103/PhysRevLett.111.225002, Google ScholarCrossref
  18. 18. C. Niemann, W. Gekelman, C. G. Constantin, E. T. Everson, D. B. Schaeffer, A. S. Bondarenko, S. E. Clark, D. Winske, S. Vincena, B. Van-Compernolle, and P. Pribyl, “ Observation of collisionless shocks in a large current-free laboratory plasma,” Geophys. Res. Lett 41, 7413–7418, doi: https://doi.org/10.1002/2014GL061820 (2014). Google ScholarCrossref
  19. 19. C. M. Huntington, F. Fiuza, J. S. Ross, A. B. Zylstra, R. P. Drake, D. H. Froula, G. Gregori, N. L. Kugland, C. C. Kuranz, M. C. Levy, C. K. Li, J. Meinecke, T. Morita, R. Petrasso, C. Plechaty, B. A. Remington, D. D. Ryutov, Y. Sakawa, A. Spitkovsky, H. Takabe, and H.-S. Park, “ Observation of magnetic field generation via the Weibel instability in interpenetrating plasma flows,” Nat. Phys. 11, 173–176 (2015). https://doi.org/10.1038/nphys3178, Google ScholarCrossref
  20. 20. D. B. Schaeffer, W. Fox, D. Haberberger, G. Fiksel, A. Bhattacharjee, D. Barnak, S. Hu, and K. Germaschewski, “ Generation and evolution of high-mach number, laser-driven magnetized collisionless shocks in the laboratory,” e-print arXiv:1610.06533. Google Scholar
  21. 21. E. M. Harnett and R. Winglee, “ Two-dimensional MHD simulation of the solar wind interaction with magnetic field anomalies on the surface of the moon,” J. Geophys. Res. 105, 24997–25007, doi: https://doi.org/10.1029/2000JA000074 (2000). Google ScholarCrossref
  22. 22. E. M. Harnett and R. Winglee, “ 2.5D particle and MHD simulations of mini-magnetospheres at the moon,” J. Geophys. Res. 107, SMP 4-1–SMP 4-16, doi: https://doi.org/10.1029/2002JA009241 (2002). Google ScholarCrossref
  23. 23. E. M. Harnett and R. Winglee, “ 2.5-D fluid simulations of the solar wind interacting with multiple dipoles on the surface of the moon,” J. Geophys. Res. 108, 1088, doi: https://doi.org/10.1029/2002JA009617 (2003). Google ScholarCrossref
  24. 24. L. Gargaté, R. Bingham, R. A. Fonseca, R. A. Bamford, A. Thornton, K. Gibson, J. Bradford, and L. O. Silva, “ Sep acceleration in CME driven shocks using a hybrid code,” Astrophys. J. 792, 9 (2014). https://doi.org/10.1088/0004-637X/792/1/9, Google ScholarCrossref
  25. 25. X. Blanco-Cano, N. Omidi, and C. T. Russel, “ How to make a magnetosphere,” Astron. Geophys. 45, 3.14–3.17 (2004). https://doi.org/10.1046/j.1468-4004.2003.45314.x, Google ScholarCrossref
  26. 26. J. Deca, A. Divin, G. Lapenta, B. Lembège, S. Markidis, and M. Horányi, “ Electromagnetic particle-in-cell simulations of the solar wind interaction with lunar magnetic anomalies,” Phys. Rev. Lett. 112, 151102 (2014). https://doi.org/10.1103/PhysRevLett.112.151102, Google ScholarCrossref
  27. 27. J. Deca, A. Divin, B. Lembège, M. Horányi, S. Markidis, and G. Lapenta, “ General mechanism and dynamics of the solar wind interaction with lunar magnetic anomalies from 3-D PIC simulations,” J. Geophys. Res. Space Phys. 120, 6443–6463, doi: https://doi.org/10.1002/2015JA021070 (2015). Google ScholarCrossref
  28. 28. Y. Ashida, H. Usui, I. Shinohara, M. Nakamura, I. Funaki, Y. Miyake, and H. Yamakawa, “ Full kinetic simulations of plasma flow interactions with meso- and microscale magnetic dipoles,” Phys. Plasmas 21, 122903 (2014). https://doi.org/10.1063/1.4904303, Google ScholarScitation
  29. 29. R. A. Bamford, E. P. Alves, F. Cruz, B. J. Kellett, R. A. Fonseca, L. O. Silva, R. M. G. M. Trines, J. S. Halekas, G. Kramer, E. Harnett, R. A. Cairns, and R. Bingham, “ 3D PIC simulations of collisionless shocks at lunar magnetic anomalies and their role in forming lunar swirls,” Astrophys. J. 830, 146 (2016). https://doi.org/10.3847/0004-637X/830/2/146, Google ScholarCrossref
  30. 30. R. A. Fonseca, L. O. Silva, F. S. Tsung, V. K. Decyk, W. Lu, C. Ren, W. B. Mori, S. Deng, S. Lee, T. Katsouleas, and J. C. Adam, “ OSIRIS: A three-dimensional, fully relativistic particle in cell code for modeling plasma based accelerators,” in Computational Science - ICCS 2002, Lecture Notes in Computer Science Vol. 2331 ( Springer, Berlin, Heidelberg, 2012), pp. 342–351. Google Scholar
  31. 31. R. A. Fonseca, J. Vieira, F. Fiuza, A. Davidson, F. S. Tsung, W. B. Mori, and L. O. Silva, “ Exploiting multi-scale parallelism for large scale numerical modelling of laser wakefield accelerators,” Plasma Phys. Controlled Fusion 55, 124011 (2013). https://doi.org/10.1088/0741-3335/55/12/124011, Google ScholarCrossref
  32. 32. J. B. McBride, E. Ott, J. P. Boris, and J. H. Orens, “ Theory and simulation of turbulent heating by the modified two-stream instability,” Phys. Fluids 15, 2367–2383 (1972). https://doi.org/10.1063/1.1693881, Google ScholarScitation
  33. 33. E. N. Parker, Cosmical Magnetic Fields: Their Origin and Their Activity ( Oxford University Press, Clarendon Press, Oxford, New York, 1979). Google Scholar
  34. 34. E. R. Priest and T. Forbes, Magnetic Reconnection: MHD Theory and Applications, 1st ed. ( Cambridge University Press, Cambridge, New York, Melbourne, Madrid, 2010). Google Scholar
  35. 35. M. Yamada, R. Kulsrud, and H. Ji, “ Magnetic reconnection,” Rev. Mod. Phys. 82, 603–664 (2010). https://doi.org/10.1103/RevModPhys.82.603, Google ScholarCrossref
  36. 36. S. Markidis, P. Henri, G. Lapenta, A. Divin, M. V. Goldman, D. Newman, and S. Eriksson, “ Collisionless magnetic reconnection in a plasmoid chain,” Nonlinear Processes Geophys. 19, 145–153 (2012). https://doi.org/10.5194/npg-19-145-2012, Google ScholarCrossref
  37. 37. N. F. Loureiro, A. A. Schekochihin, and S. C. Cowley, “ Instability of current sheets and formation of plasmoid chains,” Phys. Plasmas 14, 100703 (2007). https://doi.org/10.1063/1.2783986, Google ScholarScitation, ISI
  38. 38. R. Samtaney, N. F. Loureiro, D. A. Uzdensky, A. A. Schekochihin, and S. C. Cowley, “ Formation of plasmoid chains in magnetic reconnection,” Phys. Rev. Lett. 103, 105004 (2009). https://doi.org/10.1103/PhysRevLett.103.105004, Google ScholarCrossref
  39. 39. W. Gekelman, H. Pfister, Z. Lucky, J. Bamber, D. Leneman, and J. Maggs, “ Design, construction, and properties of the large plasma research device-the LAPD at UCLA,” Rev. Sci. Instrum. 62, 2875–2883 (1991). https://doi.org/10.1063/1.1142175, Google ScholarScitation
  40. 40. C. Niemann, C. G. Constantin, D. B. Schaeffer, A. Tauschwitz, T. Weiland, Z. Lucky, W. Gekelman, E. T. Everson, and D. Winske, “ High-energy Nd:glass laser facility for collisionless laboratory astrophysics,” J. Instrum. 7, P03010 (2012). https://doi.org/10.1088/1748-0221/7/03/P03010, Google ScholarCrossref
  41. 41. L. J. Waxer, D. N. Maywar, J. H. Kelly, T. J. Kessler, B. E. Kruschwitz, S. J. Loucks, R. L. McCrory, D. D. Meyerhofer, S. F. B. Morse, C. Stoeckl, and J. D. Zuegel, “ High-energy petawatt capability for the omega laser,” Opt. Photonics News 16, 30–36 (2005). https://doi.org/10.1364/OPN.16.7.000030, Google ScholarCrossref
  42. 42. C. Constantin, W. Gekelman, P. Pribyl, E. Everson, D. B. Schaeffer, N. Kugland, R. Presura, S. Neff, C. Plechaty, S. Vincena, A. Collette, S. Tripathi, M. V. Muniz, and C. Niemann, “ Collisionless interaction of an energetic laser produced plasma with a large magnetoplasma,” Astrophys. Space Sci. 322, 155–159 (2009). https://doi.org/10.1007/s10509-009-0012-z, Google ScholarCrossref
  43. 43. C. Niemann, W. Gekelman, C. G. Constantin, E. T. Everson, D. B. Schaeffer, S. E. Clark, D. Winske, A. B. Zylstra, P. Pribyl, S. K. P. Tripathi, D. Larson, S. H. Glenzer, and A. S. Bondarenko, “ Dynamics of exploding plasmas in a large magnetized plasma,” Phys. Plasmas 20, 012108 (2013). https://doi.org/10.1063/1.4773911, Google ScholarScitation
  44. 44. D. B. Schaeffer, E. T. Everson, D. Winske, C. G. Constantin, A. S. Bondarenko, L. A. Morton, K. A. Flippo, D. S. Montgomery, S. A. Gaillard, and C. Niemann, “ Generation of magnetized collisionless shocks by a novel, laser-driven magnetic piston,” Phys. Plasmas 19, 070702 (2012). https://doi.org/10.1063/1.4736846, Google ScholarScitation
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