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Departure from MHD prescriptions in shock formation over a guiding magnetic field

  • A. Bret (a1) (a2), A. Pe'er (a3), L. Sironi (a4), M.E. Dieckmann (a5) and R. Narayan (a6)...

Abstract

In plasmas where the mean-free-path is much larger than the size of the system, shock waves can arise with a front much shorter than the mean-free-path. These so-called “collisionless shocks” are mediated by collective plasma interactions. Studies conducted so far on these shocks found that although binary collisions are absent, the distribution functions are thermalized downstream by scattering on the fields, so that magnetohydrodynamics prescriptions may apply. Here we show a clear departure from this pattern in the case of Weibel shocks forming over a flow-aligned magnetic field. A micro-physical analysis of the particle motion in the Weibel filaments shows how they become unable to trap the flow in the presence of too strong a field, inhibiting the mechanism of shock formation. Particle-in-cell simulations confirm these results.

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Corresponding author

Address correspondence and reprint requests to: A. Bret, ETSI Industriales, Universidad de Castilla-La Mancha, 13071 Ciudad Real, Spain and Instituto de Investigaciones Energéticas y Aplicaciones Industriales, Campus Universitario de Ciudad Real, 13071 Ciudad Real, Spain. E-mail: antoineclaude.bret@uclm.es

References

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Bale, S.D., Mozer, F.S. & Horbury, T.S. (2003). Density-transition scale at quasiperpendicular collisionless shocks. Phys. Rev. Lett. 91, 265004.
Blandford, R.D. & McKee, C.F. (1976). Fluid dynamics of relativistic blast waves. Phys. Fluids 19, 1130.
Bret, A. (2012). CfA Plasma Talks. ArXiv:1205.6259.
Bret, A. (2015 a). Collisional behaviors of astrophysical collisionless plasmas. J. Plasma Phys. 81, 455810202.
Bret, A. (2015 b). Particles trajectories in magnetic filaments. Phys. Plasmas 22, 072116.
Bret, A. (2016 a). Hierarchy of instabilities for two counter-streaming magnetized pair beams. Phys. Plasmas 23, 062122.
Bret, A. (2016 b). Particles trajectories in Weibel magnetic filaments with a flow-aligned magnetic field. J. Plasma Phys. 82, 905820403.
Bret, A., Gremillet, L. & Dieckmann, M.E. (2010). Multidimensional electron beam-plasma instabilities in the relativistic regime. Phys. Plasmas 17, 120501.
Bret, A., Stockem, A., Fiúza, F., Pérez Álvaro, E., Ruyer, C., Narayan, R. & Silva, L.O. (2013 a). The formation of a collisionless shock. Laser Part. Beams 31, 487491.
Bret, A., Stockem, A., Fiuza, F., Ruyer, C., Gremillet, L., Narayan, R. & Silva, L.O. (2013 b). Collisionless shock formation, spontaneous electromagnetic fluctuations, and streaming instabilities. Phys. Plasmas 20, 042102.
Bret, A., Stockem, A., Narayan, R. & Silva, L.O. (2014). Collisionless Weibel shocks: Full formation mechanism and timing. Phys. Plasmas 21, 072301.
Bret, A., Stockem Novo, A., Narayan, R., Ruyer, C., Dieckmann, M.E. & Silva, L.O. (2016). Theory of the formation of a collisionless Weibel shock: pair vs. electron/proton plasmas. Laser Part. Beams 34, 362367.
Buneman, O. (1993). Tristan: the 3-d electromagnetic particle code. In Computer Space Plasma Physics (Matsumoto, H. and Omura, Y., Eds.), p. 67. Tokyo: Terra Scientific.
Davidson, R.C., Hammer, D.A., Haber, I. & Wagner, C.E. (1972). Nonlinear development of electromagnetic instabilities in anisotropic plasmas. Phys. Fluids 15, 317.
Dieckmann, M.E., Ahmed, H., Sarri, G., Doria, D., Kourakis, I., Romagnani, L., Pohl, M. & Borghesi, M. (2013). Parametric study of non-relativistic electrostatic shocks and the structure of their transition layer. Phys. Plasmas 20, 042111.
Dieckmann, M.E. & Bret, A. (2017). Simulation study of the formation of a non-relativistic pair shock. J. Plasma Phys., 83, 905830104.
Gerbig, D. & Schlickeiser, R. (2011). Jump conditions for relativistic magnetohydrodynamic shocks in a gyrotropic plasma. Astrophys. J. 733, 32.
Grassi, A., Grech, M., Amiranoff, F., Pegoraro, F., Macchi, A. & Riconda, C. (2017). Electron Weibel instability in relativistic counterstreaming plasmas with flow-aligned external magnetic fields. Phys. Rev. E 95, 023203.
Gurnett, D. & Bhattacharjee, A. (2005). Introduction to Plasma Physics: With Space and Laboratory Applications. Cambridge: Cambridge University Press.
Lichnerowicz, A. (1976). Shock waves in relativistic magnetohydrodynamics under general assumptions. J. Math. Phys. 17, 21352142.
Majorana, A. & Anile, A.M. (1987). Magnetoacoustic shock waves in a relativistic gas. Phys. Fluids 30, 30453049.
Marcowith, A., Bret, A., Bykov, A., Dieckman, M.E., Drury, L., Lembège, B., Lemoine, M., Morlino, G., Murphy, G., Pelletier, G., Plotnikov, I., Reville, B., Riquelme, M., Sironi, L. & Stockem Novo, A. (2016). The microphysics of collisionless shock waves. Rep. Progr. Phys. 79, 046901.
Park, H.-S., Ross, J.S., Huntington, C.M., Fiuza, F., Ryutov, D., Casey, D., Drake, R.P., Fiksel, G., Froula, D., Gregori, G., Kugland, N.L., Kuranz, C., Levy, M.C., Li, C.K., Meinecke, J., Morita, T., Petrasso, R., Plechaty, C., Remington, B., Sakawa, Y., Spitkovsky, A., Takabe, H. & Zylstra, A.B. (2016). Laboratory astrophysical collisionless shock experiments on Omega and NIF. J. Phys. Conf. Ser. 688, 012084.
Pelletier, G., Bykov, A., Ellison, D. & Lemoine, M. (2017). Towards understanding the physics of collisionless relativistic shocks. Space Sci. Rev. 207, 319360.
Petschek, H.E. (1958). Aerodynamic dissipation. Rev. Mod. Phys. 30, 966974.
Ruyer, C., Gremillet, L., Bonnaud, G. & Riconda, C. (2017). A self-consistent analytical model for the upstream magnetic-field and ion-beam properties in Weibel-mediated collisionless shocks. Phys. Plasmas 24, 041409.
Sagdeev, R. & Kennel, C. (1991). Collisionless shock waves. Sci. Am. (USA) 264, 4.
Sagdeev, R.Z. (1966). Cooperative phenomena and shock waves in collisionless plasmas. Rev. Plasma Phys. 4, 23.
Schwartz, S.J., Henley, E., Mitchell, J. & Krasnoselskikh, V. (2011). Electron temperature gradient scale at collisionless shocks. Phys. Rev. Lett. 107, 215002.
Spitkovsky, A. (2005). Simulations of relativistic collisionless shocks: shock structure and particle acceleration. In Astrophysical Sources of High Energy Particles and Radiation, volume 801 of American Institute of Physics Conference Series (Bulik, T., Rudak, B. and Madejski, G., Eds.), pp. 345350. Melville, NY: AIP.
Spitkovsky, A. (2008). On the structure of relativistic collisionless shocks in electron–ion plasmas. Astrophys. J. Lett. 673, L39L42.
Stockem, A., Fiuza, F., Bret, A., Fonseca, R. & Silva, L. (2014). Exploring the nature of collisionless shocks under laboratory conditions. Sci. Rep. 4, 3934.
Stockem, A., Fiúza, F., Fonseca, R.A. & Silva, L.O. (2012). The impact of kinetic effects on the properties of relativistic electron–positron shocks. Plasma Phys. Controll. Fusion 54, 125004.
Stockem, A., Lerche, I. & Schlickeiser, R. (2006). On the physical realization of two-dimensional turbulence fields in magnetized interplanetary plasmas. Astrophys. J. 651, 584.
Stockem Novo, A., Bret, A., Fonseca, R.A. & Silva, L.O. (2015). Shock formation in electron-ion plasmas: mechanism and timing. Astrophys. J. Lett. 803, L29.
Treumann, R.A. (2009). Fundamentals of collisionless shocks for astrophysical application, 1. Non-relativistic shocks. Astron. Astrophys. Rev. 17, 409535.
Yuan, D., Li, Y., Liu, M., Zhong, J., Zhu, B., Li, Y., Wei, H., Han, B., Pei, X., Zhao, J., Li, F., Zhang, Z., Liang, G., Wang, F., Weng, S., Li, Y., Jiang, S., Du, K., Ding, Y., Zhu, B., Zhu, J., Zhao, G. & Zhang, J. (2017). Formation and evolution of a pair of collisionless shocks in counter-streaming flows. Sci. Rep. 7, 42915.
Zel'dovich, I. & Raizer, Y. (2002). Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena. Mineola: Dover Books on Physics, Dover Publications.

Keywords

Departure from MHD prescriptions in shock formation over a guiding magnetic field

  • A. Bret (a1) (a2), A. Pe'er (a3), L. Sironi (a4), M.E. Dieckmann (a5) and R. Narayan (a6)...

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