10.57647/j.jtap.2024.1806.83

On the effect of localized plasma flow on the plasmoid instability in a compressible plasma

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  • Hossein Lotfi*1,
  1. Faculty of Physics, University of Tabriz, Tabriz, Iran
On the effect of localized plasma flow on the plasmoid instability in a compressible plasma

Received: 2024-11-18

Revised: 2024-12-03

Accepted: 2024-12-03

Published 2024-12-30

Copyright (c) -1 Hossein Lotfi (Author)

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This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

1.
Lotfi H. On the effect of localized plasma flow on the plasmoid instability in a compressible plasma. J Theor Appl phys. 2024 Dec. 30;18(6):1-9. Available from: https://oiccpress.com/jtap/article/view/8339
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Abstract

In the two-dimensional framework of compressible resistive MHD, we examine the effect of localized plasma flow on the evolution of plasmoids magnetic islands induced during magnetic reconnection with different values of velocity amplitude, ranging from sub-Alfvénic to super-Alfvénic levels. To better understand the influence of localized flow on plasmoid formation and the nonlinear evolution of the current sheet (known as plasmoid instability), we considered a wide range of velocity amplitudes and scale lengths of localized flow. The simulation results show that, by increasing the velocity amplitude from sub-Alfvénic to super-Alfvénic within a scale length smaller than the current sheet thickness, plasmoid instability (PI) is suppressed, and the initial structure of the current sheet is preserved. The growth rate of PI decreases as the localized flow thickness increases, indicating that the scale length of localized flow is a significant parameter in the magnetic reconnection process. The presence of localized plasma flow in the current layer causes a displacement of the initial magnetic reconnection site (primary X-point). Due to multiple reconnections in sub-Alfvénic flows, the initial X-point movement velocity increases in the direction of the localized flow, while in super-Alfvénic flows, the movement velocity of the initial X-point decreases, as magnetic reconnection does not occur. Thus, the growth rate of PI decreases with increasing localized flow velocity amplitude.

Keywords

  • Plasmoid instability,
  • Magnetic reconnection,
  • MHD simulations,
  • Space plasmas
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References

  1. . Forbes, T., Magnetic reconnection in solar flares. Geophysical & Astrophysical Fluid Dynamics, 1991. 62(1-4): p. 15-36.
  2. . Hones Jr, E.W., Magnetic reconnection in the Earth's magnetotail. Australian journal of physics, 1985. 38(6): p. 981-998.
  3. . Yamada, M., et al., Investigation of magnetic reconnection during a sawtooth crash in a high‐temperature tokamak plasma. Physics of plasmas, 1994. 1(10): p. 3269-3276.
  4. . Barta, M., B. Vršnak, and M. Karlický, Dynamics of plasmoids formed by the current sheet tearing. Astronomy & astrophysics, 2008. 477(2): p. 649-655.
  5. . Loureiro, N., A.A. Schekochihin, and S.C. Cowley, Instability of current sheets and formation of plasmoid chains. Physics of Plasmas, 2007. 14(10).
  6. . Samtaney, R., et al., Formation of plasmoid chains in magnetic reconnection. Physical review letters, 2009. 103(10): p. 105004.
  7. . Biskamp, D., Magnetic reconnection via current sheets. The Physics of fluids, 1986. 29(5): p. 1520-1531.
  8. . Ni, L., et al., Fast magnetic reconnection in the solar chromosphere mediated by the plasmoid instability. The Astrophysical Journal, 2015. 799(1): p. 79.
  9. . Comisso, L., et al., General theory of the plasmoid instability. Physics of Plasmas, 2016. 23(10).
  10. . Bhattacharjee, A., et al., Fast reconnection in high-Lundquist-number plasmas due to the plasmoid instability. Physics of Plasmas, 2009. 16(11).
  11. . Huang, Y.-M. and A. Bhattacharjee, Distribution of plasmoids in high-Lundquist-number magnetic reconnection. Physical review letters, 2012. 109(26): p. 265002.
  12. . Lotfi, H. and M. Hosseinpour, Parametric Study of Resistive Plasmoid Instability. Frontiers in Astronomy and Space Sciences, 2021. 8: p. 768965.
  13. . Ni, L., et al., Effects of plasma β on the plasmoid instability. Physics of Plasmas, 2012. 19(7).
  14. . Baty, H., Effect of plasma-β on the onset of plasmoid instability in Sweet–Parker current sheets. Journal of Plasma Physics, 2014. 80(5): p. 655-665.
  15. . Comisso, L., et al., Plasmoid instability in forming current sheets. The Astrophysical Journal, 2017. 850(2): p. 142.
  16. . Comisso, L., D. Grasso, and F.L. Waelbroeck, Extended theory of the Taylor problem in the plasmoid-unstable regime. Physics of Plasmas, 2015. 22(4).
  17. . Ahmad, N., et al., Viscous effects on plasmoid formation from nonlinear resistive tearing growth in a Harris sheet. Plasma Science and Technology, 2021. 24(1): p. 015103.
  18. . Birn, J., J. Borovsky, and M. Hesse, Properties of asymmetric magnetic reconnection. Physics of Plasmas, 2008. 15(3).
  19. . Murphy, N.A., et al., The plasmoid instability during asymmetric inflow magnetic reconnection. Physics of Plasmas, 2013. 20(6).
  20. . Doss, C., et al., Asymmetric magnetic reconnection with a flow shear and applications to the magnetopause. Journal of Geophysical Research: Space Physics, 2015. 120(9): p. 7748-7763.
  21. . Majeski, S., et al., Guide field effects on the distribution of plasmoids in multiple scale reconnection. Physics of Plasmas, 2021. 28(9).
  22. . Yang, G., et al., Photospheric shear flows along the magnetic neutral line of active region 10486 prior to an X10 flare. The Astrophysical Journal, 2004. 617(2): p. L151.
  23. . Wang, J., et al., Evolution of photospheric flow and magnetic fields associated with the 2015 June 22 M6. 5 flare. The Astrophysical Journal, 2018. 853(2): p. 143.
  24. . Hosseinpour, M., Y. Chen, and S. Zenitani, On the effect of parallel shear flow on the plasmoid instability. Physics of Plasmas, 2018. 25(10).
  25. . Mahapatra, J., et al., Effect of in-plane shear flow on the magnetic island coalescence instability. Physics of Plasmas, 2021. 28(7).
  26. . Lotfi, H. and M. Hosseinpour, The dynamics of plasmoid instability in the presence of asymmetric parallel shear flow. Journal of Theoretical and Applied Physics, 2022. 16(4): p. 1-8.
  27. . Chen, Q., A. Otto, and L. Lee, Tearing instability, Kelvin‐Helmholtz instability, and magnetic reconnection. Journal of Geophysical Research: Space Physics, 1997. 102(A1): p. 151-161.
  28. . Li, J. and Z. Ma, Roles of super-Alfvenic shear flows on Kelvin–Helmholtz and tearing instability in compressible plasma. Physica Scripta, 2012. 86(4): p. 045503.
  29. . Wang, J., X. Wang, and C. Xiao, Out-of-plane bipolar and quadrupolar magnetic fields generated by shear flows in two-dimensional resistive reconnection. Physics Letters A, 2008. 372(25): p. 4614-4617.
  30. . Wang, L., et al., Out-of-plane shear flow effects on fast magnetic reconnection in a two-dimensional hybrid simulation model. Chinese Physics B, 2013. 23(2): p. 025203.
  31. . Slavin, J.A., et al., An ISEE 3 study of average and substorm conditions in the distant magnetotail. Journal of Geophysical Research: Space Physics, 1985. 90(A11): p. 10875-10895.
  32. . Tsurutani, B.T., et al., Statistical properties of magnetic field fluctuations in the distant plasmasheet. Planetary and space science, 1987. 35(3): p. 289-293.
  33. . Sergeev, V., et al., Multiple‐spacecraft observation of a narrow transient plasma jet in the Earth's plasma sheet. Geophysical Research Letters, 2000. 27(6): p. 851-854.
  34. . Nakamura, R., et al., Flow bouncing and electron injection observed by Cluster. Journal of Geophysical Research: Space Physics, 2013. 118(5): p. 2055-2072.
  35. . Sato, T. and R.J. Walker, Magnetotail dynamics excited by the streaming tearing mode. Journal of Geophysical Research: Space Physics, 1982. 87(A9): p. 7453-7459.
  36. . Wang, S., L. Lee, and C. Wei, Streaming tearing instability in the current sheet with a super‐Alfvenic flow. The Physics of fluids, 1988. 31(6): p. 1544-1548.
  37. . Wu, L. and Z. Ma, Linear growth rates of resistive tearing modes with sub-Alfvénic streaming flow. Physics of Plasmas, 2014. 21(7).
  38. . Zenitani, S., OpenMHD: Godunov-type code for ideal/resistive magnetohydrodynamics (MHD). Astrophysics Source Code Library, 2016: p. ascl: 1604.001.
  39. . Shimizu, T., K. Kondoh, and S. Zenitani, Numerical MHD study for plasmoid instability in uniform resistivity. Physics of Plasmas, 2017. 24(11).