- Letter
- Open Access
First determination of whistler wave dispersion relation in superhot plasmas
Phys. Rev. Research 6, L012047 – Published 1 March, 2024
DOI: https://doi.org/10.1103/PhysRevResearch.6.L012047
Abstract
A whistler wave is a fundamental electromagnetic radiation. In the universe, it transmits information through diverse mediums at audio frequencies. To know the properties of such a radio, one should determine how its frequency (energy) changes with its wavelength (momentum). The relation between them is called the dispersion relation, which encodes essential information on the kinetics. Although the dispersion relation governs the majority of the whistler properties, the experimental determination of their entire dispersion is still a challenge today. Especially in high-temperature mediums, the group velocity dispersion properties of whistlers are still unverified by spacecraft experiments despite their practical importance. Here, for the first time, we experimentally determine the dispersion relation of whistler waves in superhot plasmas by the magnetospheric multiscale mission located in a magnetotail plasma sheet. Our result unmasks the characteristics of whistler waves at elevated temperatures and exhibits the evolution of their group velocity dispersion from positive to negative, which agrees well with kinetic theory, opening the door to controlled radio excitation and transport.
Physics Subject Headings (PhySH)
Article Text
References (77)
- R. L. Stenzel, Whistler waves in space and laboratory plasmas, J. Geophys. Res. 104, 14379 (1999).
- C.-Y. Tu and E. Marsch, MHD structures, waves and turbulence in the solar wind: Observations and theories, Space Sci. Rev. 73, 1 (1995).
- W. H. Preece, Earth currents, Nature (London) 49, 554 (1894).
- H. Barkhausen, Two phenomena revealed with the help of new amplifiers, Z. Phys. 20, 401 (1919).
- M. Gołkowski, N. C. Gross, R. C. Moore, B. R. T. Cotts, and M. Mitchell, Observation of local and conjugate ionospheric perturbations from individual oceanic lightning flashes, Geophys. Res. Lett. 41, 273 (2014).
- R. A. Helliwell and M. G. Morgan, Atmospheric whistlers, Proc. IRE. 47, 200 (1959).
- C. Cattell et al., Discovery of very large amplitude whistler-mode waves in Earth's radiation belts, Geophys. Res. Lett. 35, L01105 (2008).
- D. Cao et al., MMS observations of whistler waves in electron diffusion region, Geophys. Res. Lett. 44, 3954 (2017).
- S. C. Teng, F. Y. Wu, Y. Harada, J. Bortnik, F. Zonca, L. Chen, and X. Tao, Whistler-mode chorus waves at Mars, Nat. Commun. 14, 3142 (2023).
- C. T. Russell, T. L. Zhang, M. Delva, W. Magnes, R. J. Strangeway, and H. Y. Wei, Lightning on Venus inferred from whistler-mode waves in the ionosphere, Nature (London) 450, 661 (2007).
- J. B. Cao, X. H. Wei, A. Y. Duan, H. S. Fu, T. L. Zhang, H. Reme, and I. Dandouras, Slow magnetosonic waves detected in reconnection diffusion region in the earth's magnetotail, J. Geophys. Res. 118, 1659 (2013).
- X. H. Wei, J. B. Cao, G. C. Zhou, O. Santolík, H. Rème, I. Dandouras, N. Cornilleau-Wehrlin, E. Lucek, C. M. Carr, and A. Fazakerley, Cluster observations of waves in the whistler frequency range associated with magnetic reconnection in the Earth's magnetotail, J. Geophys. Res. 112, A10225 (2007).
- G. P. Chernov, Whistlers in the solar corona and their relevance to fine structures of type IV radio emission, Sol. Phys. 130, 75 (1990).
- Y. Tong, I. Y. Vasko, A. V. Artemyev, S. D. Bale, and F. S. Mozer, Statistical study of whistler waves in the solar wind at 1 Au, Astrophys. J. 878, 41 (2019).
- G. T. Roberg-Clark, J. F. Drake, C. S. Reynolds, and M. Swisdak, Suppression of electron thermal conduction in the high β intracluster medium of galaxy clusters, Astrophys. J. Lett. 830, L9 (2016).
- C. S. Ng, A. Bhattacharjee, K. Germaschewski, and S. Galtier, Anisotropic fluid turbulence in the interstellar medium and solar wind, Phys. Plasmas. 10, 1954 (2003).
- P. Zhu and R. W. Boswell, Ar Ii laser generated by Landau damping of whistler waves at the lower hybrid frequency, Phys. Rev. Lett. 63, 2805 (1989).
- D. A. Spong et al., First direct observation of runaway-electron-driven whistler waves in tokamaks, Phys. Rev. Lett. 120, 155002 (2018).
- R. L. Stenzel, Whistler waves with angular momentum in space and laboratory plasmas and their counterparts in free space, Adv. Phys. X 1, 687 (2016).
- Y. Zhang, H. Matsumoto, and H. Kojima, Bursts of whistler mode waves in the upstream of the bow shock: Geotail observations, J. Geophys. Res. 103, 20529 (1998).
- X. Li and S. R. Habbal, Electron kinetic firehose instability, J. Geophys. Res. 105, 27377 (2000).
- S. P. Gary, Theory of Space Plasma Microinstabilities (Cambridge University Press, Cambridge, England, 1993).
- W. Li et al., Global distribution of whistler-mode chorus waves observed on the Themis spacecraft, Geophys. Res. Lett. 36, L09104 (2009).
- T. H. Stix, Waves in Plasmas (Springer Science & Business Media, New York, 1992).
- H. S. Fu et al., ULF waves associated with solar wind deceleration in the Earth's foreshock, Chin. Phys. Lett. 26, 119402 (2009).
- M. J. Houghton, Hot plasma theory of whistler mode wave packet propagation along a non-uniform magnetic field, Plasma Phys. 3, 611 (1969).
- H. S. Fu et al., Whistler-mode waves inside flux pileup region: Structured or unstructured? J. Geophys. Res. 119, 9089 (2014).
- X. H. Deng and H. Matsumoto, Rapid magnetic reconnection in the earth's magnetosphere mediated by whistler waves, Nature (London). 410, 557 (2001).
- D. Biskamp, E. Schwarz, and J. F. Drake, Two-dimensional electron magnetohydro-dynamic turbulence, Phys. Rev. Lett. 76, 1264 (1996).
- S. Galtier and A. Bhattacharjee, Anisotropic weak whistler wave turbulence in electron magnetohydrodynamics, Phys. Plasmas. 10, 3065 (2003).
- C. Liu, E. Hirvijoki, G.-Y. Fu, D. P. Brennan, A. Bhattacharjee, and C. Paz-Soldan, Role of kinetic instability in runaway-electron avalanches and elevated critical electric fields, Phys. Rev. Lett. 120, 265001 (2018).
- N. S. Artekha and D. R. Shklyar, Kinetic description of a whistler wave propagating in plasma along the magnetic field, Plasma Phys. Rep. 48, 754 (2022).
- A. V. Artemyev, O. Agapitov, D. Mourenas, V. Krasnoselskikh, V. Shastun, and F. Mozer, Oblique whistler-mode waves in the Earth's inner magnetosphere: Energy distribution, origins, and role in radiation belt dynamics, Space Sci. Rev. 200, 261 (2016).
- A. V. Artemyev, O. V. Agapitov, D. Mourenas, V. V. Krasnoselskikh, and F. S. Mozer, Wave energy budget analysis in the Earth's radiation belts uncovers a missing energy, Nat. Commun. 6, 1 (2015).
- M. Oka et al., Electron scattering by high-frequency whistler waves at Earth's bow shock, Astrophys. J. Lett. 842, L11 (2017).
- C. Lacombe, O. Alexandrova, L. Matteini, O. Santolík, N. Cornilleau-Wehrlin, A. Mangeney, Y. de Conchy, and M. Maksimovic, Whistler mode waves and the electron heat flux in the solar wind: Cluster observations, Astrophys. J. 796, 5 (2014).
- H. S. Fu, Y. Xu, A. Vaivads, and Y. V. Khotyaintsev, Super-efficient electron acceleration by an isolated magnetic reconnection, Astrophys. J. Lett. 870, L22 (2019).
- J. D. Strachan et al., High-temperature plasmas in a tokamak fusion test reactor, Phys. Rev. Lett. 58, 1004 (1987).
- Q. Ma et al., Very oblique whistler mode propagation in the radiation belts: Effects of hot plasma and landau damping, Geophys. Res. Lett. 44, 057 12,(2017).
- W. Baumjohann and R. Nakamura, Magnetospheric contributions to the terrestrial magnetic field, Geomagnetism. 5, 77 (2007).
- Y. Yu, H. S. Fu, and Z. Wang, Dipolarization fronts in cold-dense and hot-tenuous plasma sheet conditions: A comparative study, J. Geophys. Res. 128, e2022JA031141 (2023).
- D. Stansby, T. S. Horbury, C. H. K. Chen, and L. Matteini, Experimental determination of whistler wave dispersion relation in the solar wind, Astrophys. J. Lett. 829, L16 (2016).
- Z. H. Zhong et al., Evidence for whistler waves propagating into the electron diffusion region of collisionless magnetic reconnection, Geophys. Res. Lett. 49, e2021GL097387 (2022).
- D. B. Graham et al., Whistler emission in the separatrix regions of asymmetric magnetic reconnection, J. Geophys. Res. 121, 1934 (2016).
- Y. Narita et al., On electron-scale whistler turbulence in the solar wind, Astrophys. J. Lett. 827, L8 (2016).
- P. Lebrun, Cryogenics for the large hadron collider, IEEE Trans. Appl. Supercond. 10, 1500 (2000).
- M. Stix, The Sun: An Introduction (Springer Science & Business Media, Berlin, 2004).
- W. Baumjohann and R. A. Treumann, Basic Space Plasma Physics (World Scientific, Singapore, 1996).
- A. Y. Potekhin, D. A. Baiko, P. Haensel, and D. G. Yakovlev, Transport properties of degenerate electrons in neutron star envelopes and white dwarf cores, Astron. Astrophys. 346, 345 (1999).
- D. Page and S. Reddy, Forecasting Neutron star temperatures: Predictability and variability, Phys. Rev. Lett. 111, 241102 (2013).
- J. B. Cao et al., Joint observations by cluster satellites of bursty bulk flows in the magnetotail, J. Geophys. Res. 111, A04206 (2006).
- H. S. Fu, Y. V. Khotyaintsev, A. Vaivads, A. Retinò, and M. André, Energetic electron acceleration by unsteady magnetic reconnection, Nat. Phys. 9, 426 (2013).
- J. L. Burch, T. E. Moore, R. B. Torbert, and B. L. Giles, Magnetospheric multiscale overview and science objectives, Space Sci. Rev. 199, 5 (2016).
- W. Z. Zhang, H. S. Fu, J. B. Cao, Y. Y. Liu, J. S. Zhao, Z. Z. Guo, Z. Wang, and T. Y. Wang, DRAFT: A method for wave analyses in space plasmas, Astrophys. J. 936, 176 (2022).
- C. Pollock et al., Fast plasma investigation for magnetospheric multiscale, Space Sci. Rev. 199, 331 (2016).
- R. B. Torbert et al., The FIELDS instrument suite on MMS: Scientific objectives, measurements, and data products, Space Sci. Rev. 199, 105 (2016).
- H. S. Fu, E. E. Grigorenko, C. Gabrielse, C. M. Liu, S. Lu, K. J. Hwang, X. Z. Zhou, Z. Wang, and F. Chen, Magnetotail dipolarization fronts and particle acceleration: A review, Sci. China Earth Sci. 63, 235 (2020).
- H. S. Fu, Y. V. Khotyaintsev, A. Vaivads, M. André, and S. Y. Huang, Occurrence rate of earthward-propagating dipolarization fronts, Geophys. Res. Lett. 39, L10101 (2012).
- H. S. Fu, M. J. Zhao, Y. Yu, and Z. Wang, A new theory for energetic electron generation behind dipolarization front, Geophys. Res. Lett. 47, e2019GL086790 (2020).
- H. S. Fu et al., Dipolarization fronts as a consequence of transient reconnection: In situ evidence, Geophys. Res. Lett. 40, 6023 (2013).
- H. S. Fu, Y. V. Khotyaintsev, A. Vaivads, M. André, and S. Y. Huang, Electric structure of dipolarization front at sub-proton scale, Geophys. Res. Lett. 39, L06105 (2012).
- M. J. Zhao, H. S. Fu, C. M. Liu, Z. Z. Chen, Y. Xu, B. L. Giles, and J. L. Burch, Energy range of electron rolling pin distribution behind dipolarization front, Geophys. Res. Lett. 46, 2390 (2019).
- Y. Xu, H. S. Fu, C. Norgren, S. Toledo-Redondo, C. M. Liu, and X. C. Dong, Ionospheric cold ions detected by mms behind dipolarization fronts, Geophys. Res. Lett. 46, 7883 (2019).
- Y. Yu, H. S. Fu, J. B. Cao, Y. Y. Liu, and Z. Wang, Electron rolling-pin distribution inside magnetic hole, Astrophys. J. 926, 199 (2022).
- Y. Yu, Z. Wang, H. S. Fu, and J. B. Cao, Direct evidence of interchange instabilities at dipolarization fronts, J. Geophys. Res. 127, e2022JA030805 (2022).
- O. Santolík, M. Parrot, and F. Lefeuvre, Singular value decomposition methods for wave propagation analysis, Radio Sci. 38, 10 (2003).
- C. M. Liu, H. S. Fu, Y. Y. Liu, and Y. Xu, Kinetics of magnetic hole behind dipolarization front, Geophys. Res. Lett. 48, e2021GL093174 (2021).
- K. Rönnmark, WHAMP—Waves in homogeneous, anisotropic, multicomponent plasmas, Kiruna Geofysiska Institute Technical Report 14, 179 (1982).
- S. Sazhin, Whistler-Mode Waves in a Hot Plasma (Cambridge University Press, Cambridge, 1993).
- W. Z. Zhang, H. S. Fu, J. B. Cao, Z. Wang, and Y. Y. Liu, Properties of the turbulence and topology in a turbulent magnetic reconnection, Astrophys. J. 953, 23 (2023).
- H. S. Fu, Y. V. Khotyaintsev, M. André, and A. Vaivads, Fermi and betatron acceleration of suprathermal electrons behind dipolarization fronts, Geophys. Res. Lett. 38, L16104 (2011).
- Yu. V. Khotyaintsev, C. M. Cully, A. Vaivads, M. André, and C. J. Owen, Plasma jet braking: Energy dissipation and nonadiabatic electrons, Phys. Rev. Lett. 106, 165001 (2011).
- H. S. Fu, A. Vaivads, Y. V. Khotyaintsev, M. André, J. B. Cao, V. Olshevsky, J. P. Eastwood, and A. Retinò, Intermittent energy dissipation by turbulent reconnection, Geophys. Res. Lett. 44, 37 (2017).
- W. D. Fu, H. S. Fu, J. B. Cao, Y. Yu, Z. Z. Chen, and Y. Xu, Formation of rolling-pin distribution of suprathermal electrons behind dipolarization fronts, J. Geophys. Res. 127, e2021JA029642 (2022).
- J. S. Zhao, Properties of whistler waves in warm electron plasmas, Astrophys. J. 850, 13 (2017).
- C. F. Kennel and H. E. Petschek, Limit on stably trapped particle fluxes, J. Geophys. Res. 71, 1 (1966).
- https://lasp.colorado.edu/mms/sdc/public/.