Abstract
The turbulent solar wind magnetic field shows structures that are characterized by sudden, strong changes in the field magnitude and/or direction. Such structures can be intermittent if their increments found from time series spacecraft measurements deviate from a Gaussian distribution. Current sheets are a possible source of such intermittency in plasma turbulence. We try three different techniques to find such events from the magnetometer data of the Magnetosphere Multiscale Mission (MMS) – time derivative of the magnetic field, partial variance increment (PVI), and a modified Tsurutani-Smith (TS) method. We find a non-Gaussian distribution of magnetic field time derivatives after noise reduction. These intermittent events are identified with varying levels of noise reduction to obtain an optimum value of filtering frequency. These events are found to match with those obtained by setting a suitable threshold value for the PVI, which operates at larger time increments. The TS method which operates at even larger time increments also identifies some of these events. Identification of the same events in different MMS spacecraft confirms the presence of physical phenomena causing this intermittency. The magnetic field rotation angle across these events is also significantly larger than the average rotation angle for such intervals. Measurement of their duration indicates that these structures are of the order or even smaller than ion kinetic scales. Further high resolution observations and numerical simulations are required to probe their real spatial-temporal scales.
Similar content being viewed by others
References
Alexandrova, O., Lacombe, C., Mangeney, A., et al.: Solar wind turbulent spectrum at plasma kinetic scales. Astrophys. J. 760(2), 121 (2012). https://doi.org/10.1088/0004-637X/760/2/121
Bandyopadhyay, R., Matthaeus, W.H., Chasapis, A., et al.: Direct measurement of the solar-wind Taylor microscale using mms turbulence campaign data. Astrophys. J. 899(1), 63 (2020)
Biskamp, D.: Magnetohydrodynamic Turbulence. Cambridge (2003)
Borovsky, J.E.: Flux tube texture of the solar wind: strands of the magnetic carpet at 1 AU? J. Geophys. Res. Space Phys. 113(A8), A08110 (2008). https://doi.org/10.1029/2007JA012684
Bruno, R.: Intermittency in solar wind turbulence from fluid to kinetic scales. Earth Space Sci. 6(5), 656–672 (2019). https://doi.org/10.1029/2018EA000535
Bruno, R., Carbone, V.: The solar wind as a turbulence laboratory. Living Rev. Sol. Phys. 10(2) (2013)
Bruno, R., Carbone, V., Primavera, L., et al.: On the probability distribution function of small-scale interplanetary magnetic field fluctuations. Ann. Geophys. 22, 3751–3769 (2004)
Burlaga, L.F.: Intermittent turbulence in the solar wind. J. Geophys. Res. 96(A4), 5847–5851 (1991). https://doi.org/10.1029/91JA00087
Burlaga, L.F., Ness, N.F.: Tangential discontinuities in the solar wind. Sol. Phys. 9(2), 467–477 (1969). https://doi.org/10.1007/BF02391672
Chasapis, A., Retinò, A., Sahraoui, F., et al.: Thin current sheets and associated electron heating in turbulent space plasma. Astrophys. J. Lett. 804(1), L1 (2015). https://doi.org/10.1088/2041-8205/804/1/L1
Chasapis, A., Matthaeus, W.H., Bandyopadhyay, R., et al.: Scaling and anisotropy of solar wind turbulence at kinetic scales during the MMS turbulence campaign. Astrophys. J. 903(2), 127 (2020)
Frisch, U.: Turbulence: The Legacy of A. N. Kolmogorov. Cambridge University Press, Cambridge (1996)
Gallager, R.: Principles of digital communication. MIT OpenCourseWare (http://ocw.mit.edu), Massachusetts Institute of Technology (2006)
Greco, A., Matthaeus, W.H., Servidio, S., et al.: Statistical analysis of discontinuities in solar wind ace data and comparison with intermittent mhd turbulence. Astrophys. J. 691(2), L111 (2009)
Greco, A., Matthaeus, W.H., Perri, S., et al.: Partial variance of increments method in solar wind observations and plasma simulations. Space Sci. Rev. 214, 1 (2018)
Haykin, S.: Communications Systems. Wiley, New York (2006)
Huang, S.Y., Sahraoui, F.: Testing of the Taylor frozen-in-flow hypothesis at electron scales in the solar wind turbulence. Astrophys. J. 876, 138 (2019)
Kiyani, K.H., Chapman, S.C., Sahraoui, F., et al.: Enhanced magnetic compressibility and isotropic scale invariance at sub-ion larmor scales in solar wind turbulence. Astrophys. J. 763(1), 10 (2013)
Knetter, T., Neubauer, F.M., Horbury, T., et al.: Four-point discontinuity observations using cluster magnetic field data: a statistical survey. J. Geophys. Res. Space Phys. 109(A6), A06102 (2004)
Makwana, K.D., Zhdankin, V., Li, H., et al.: Energy dynamics and current sheet structure in fluid and kinetic simulations of decaying magnetohydrodynamic turbulence. Phys. Plasmas 22, 042902 (2015)
Makwana, K.D., Li, H., Guo, F., et al.: Dissipation and particle energization in moderate to low beta turbulent plasma via pic simulations. J. Phys. Conf. Ser. 837, 012004 (2017)
Mariani, F., Bavassano, B., Villante, U., et al.: Variations of the occurrence rate of discontinuities in the interplanetary magnetic field. J. Geophys. Res. 78(34), 8011 (1973)
Marsch, E., Tu, C.Y.: Intermittency, non-Gaussian statistics and fractal scaling of mhd fluctuations in the solar wind. Nonlinear Process. Geophys. 4(2), 101–124 (1997). https://doi.org/10.5194/npg-4-101-1997. https://npg.copernicus.org/articles/4/101/1997/
Matthaeus, W.H., Lamkin, S.L.: Turbulent magnetic reconnection. Phys. Fluids 29(8), 2513–2534 (1986). https://doi.org/10.1063/1.866004
Miao, B., Peng, B., Li, G.: Current sheets from Ulysses observation. Ann. Geophys. 29, 237–249 (2011)
MMS: (2019). https://lasp.colorado.edu/mms/sdc/public/data/sdc/mms_formation_plots/mms_formation_plot_20190224133954.png
Mukherjee, S., Singh, R.K., James, M., et al.: Intermittency, fluctuations and maximal chaos in an emergent universal state of active turbulence. Nat. Phys. 19, 891–897 (2023)
Parker, E.N.: Dynamics of the interplanetary gas and magnetic fields. Astrophys. J. 128, 664 (1958). https://doi.org/10.1086/146579
Pecora, F., Servidio, S., Greco, A., et al.: Identification of coherent structures in space plasmas: the magnetic helicity–pvi method. Astron. Astrophys. 650, A20 (2021)
Podesta, J.J.: The most intense current sheets in the high-speed solar wind near 1 au. J. Geophys. Res. Space Phys. 122, 2795–2823 (2017)
Russell, C.T., Anderson, B.J., Baumjohann, W., et al.: The magnetospheric multiscale magnetometers. Space Sci. Rev. 199, 189–256 (2016)
Sundkvist, D., Retinò, A., Vaivads, A., et al.: Dissipation in turbulent plasma due to reconnection in thin current sheets. Phys. Rev. Lett. 99(2), 025004 (2007). https://doi.org/10.1103/PhysRevLett.99.025004
Torbert, R.B., Russell, C.T., Magnes, W., et al.: The FIELDS instrument suite on MMS: scientific objectives, measurements, and data products. Space Sci. Rev. 199(1–4), 105–135 (2016). https://doi.org/10.1007/s11214-014-0109-8
Tsurutani, B.T., Smith, E.J.: Interplanetary discontinuities: temporal variations and the radial gradient from 1 to 8.5 au. J. Geophys. Res. 84(A6), 2773–2787 (1979)
Vasquez, B.J., Abramenko, V.I., Haggerty, D.K., et al.: Numerous small magnetic field discontinuities of bartels rotation 2286 and the potential role of Alfvénic turbulence. J. Geophys. Res. 112, A11102 (2007)
Zhdankin, V., Boldyrev, S., Mason, J.: Distribution of magnetic discontinuities in the solar wind and in magnetohydrodynamic turbulence. Astrophys. J. 760(2), L22 (2012)
Zhdankin, V., Uzdensky, D.A., Perez, J.C., et al.: Statistical analysis of current sheets in three-dimensional magnetohydrodynamic turbulence. Astrophys. J. 771(2), 124 (2013). https://doi.org/10.1088/0004-637X/771/2/124
Acknowledgements
This work was supported by the seed grant of Indian Institute of Technology, Hyderabad. SS was supported by Science & Engineering Research Board (SERB) grant SRG/2021/001439. KM would like to thank Tulasi Parashar for useful discussions.
Author information
Authors and Affiliations
Contributions
S.S. did a large fraction of the data analysis, wrote the programs for the spline and PVI methods, prepared figures 2-8, and helped in writing the manuscript. P.D. did the TS method analysis, made figures 1 and 9 and helped in writing the manuscript. K.M. conceptualized the study, wrote the main manuscript text, and helped in analysis and interpretation of results. All authors reviewed the manuscript.
Corresponding author
Ethics declarations
Competing interests
The authors declare no competing interests.
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Satyasmita, S., Das, P. & Makwana, K.D. Identifying kinetic scale magnetic discontinuity structures in turbulent solar wind. Astrophys Space Sci 369, 7 (2024). https://doi.org/10.1007/s10509-024-04266-x
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10509-024-04266-x