Space physics

A fast lane in the magnetosphere

A marriage between satellite observations and modelling has shown that acceleration of electrons in the magnetosphere can be explained by scattering of these particles by plasma oscillations known as chorus waves. See Letter p.411

Both dramatic dropout1 and increase2,3 in the flux of high-energy electrons trapped in Earth's dipole-like magnetic field have been reported along with the formation of a storage ring4 — a third 'radiation belt' nested between the usual inner and outer zones of million-electronvolt ionized particles (plasma) that surround Earth. This ring lies in a region called the slot, which is formed by scattering of electrons by plasma waves and their loss to the atmosphere5,6. On page 411 of this issue, Thorne et al.7 present convincing evidence for local acceleration of electrons by the same type of plasma wave or oscillation that causes electron loss — called a whistler wave because of its occurrence in the audio frequency range. This mode of oscillation occurs in two types depending on the density of the cold plasma in the inner region of the magnetosphere: 'hiss' and 'chorus'. These colourful names go back to the early days of listening to these modes with audio-range radio receivers8,9.

Figure 1 shows a classic picture of Earth's magnetosphere and the wave modes originally sketched by Thorne and Kennel10. These have subsequently been augmented with other plasma-wave types11,12 that affect the radiation-belt electrons, including ultra-low frequency and electromagnetic ion cyclotron (EMIC) waves. Electrons and ions transported from the tail of the magnetosphere excite chorus and EMIC waves at the dawn and dusk sides of the magnetosphere (right and left parts of the figure), respectively.

Figure 1: Plasma waves in the magnetosphere.


A projection of the equatorial plane of Earth's magnetosphere and the distribution of plasma waves12. Hiss plasma waves are confined to the region of cold plasma (pale blue region), which co-rotates with Earth. This region can extend to the dayside of the magnetopause (the outer edge of the magnetosphere) in plumes (pale blue tail) during strong plasma convection from the tail of the magnetosphere. Electrons and ions transported (red arrows) from the tail excite electromagnetic ion cyclotron (EMIC) waves around the dusk side (left) of the magnetosphere and chorus waves around its dawn side (right). The yellow circular arrow shows the direction of high-energy electron drift around Earth. Ultra-low-frequency (ULF) waves are also shown. Thorne and colleagues' study7 suggests that chorus waves caused an event of rapid electron acceleration that occurred during a geomagnetic storm on 8–9 October 2012. (Figure adapted from ref. 12.)

In their study, Thorne and colleagues report observations taken by the Van Allen Probes launched last year13. The satellites recorded a rapid electron-acceleration event that occurred during a disturbance of Earth's magnetosphere, known as a geomagnetic storm, on 8–9 October 2012. The authors modelled these observations and showed that chorus waves can explain this acceleration event. What allows these waves to interact so effectively with electrons is the right-hand rotation of the waves' electric field, which occurs in the same direction as electron gyration, allowing electrons to be accelerated. Such polarization of the electric field allows the waves to resonate with the electron gyration, causing either electron loss to the atmosphere or rapid acceleration, depending on the energy of electrons and their relative velocity parallel and perpendicular to the magnetic field. The energy of electrons interacting with the chorus depends on the density of the cold plasma, which co-rotates with Earth.

A dramatic loss of the entire outer-zone million-electronvolt electrons had been observed on 8 October 2012 (ref. 4). Thorne and colleagues' analysis now reveals a rapid rebuilding and enhancement of the outer zone on 9 October in six-dimensional (phase-) space, extended to include the velocity dimension (see Extended Data Fig. 4, where the enhancement is illustrated as a peak on the dawn side of the magnetosphere). The authors compared this enhancement with a phase-space density distribution that peaks at a greater distance from Earth than the observed enhancement does. Observations from the Van Allen Probes have shown3 the rapid development of this peak now modelled by the authors, but the peak had been difficult to explain with radial diffusion in phase-space density from greater distance to where the peak is located — long the paradigm for replenishment of the outer-zone electrons14. The authors' modelling now demonstrates that this effect can cause the peak.

Thorne and colleagues' study represents a breakthrough in understanding the complex interplay of radiation-belt electrons with plasma waves, which affects the electrons' acceleration and loss. More investigations in this field should combine the type of analysis performed by Thorne et al. with models of radial transport that include measured electric and magnetic-field amplitudes in the ultra-low-frequency wave regime15, which oscillate with the longitudinal-drift period of electrons14. Future work should also incorporate the effects of large-amplitude coherent whistler waves16, which have been observed in improved high-resolution measurements from the Van Allen Probes17.


  1. 1

    Turner, D. L., Shprits, Y., Hartinger, M. & Angelopoulos, V. Nature Phys. 8, 208–212 (2012).

    CAS  Article  ADS  Google Scholar 

  2. 2

    Horne, R. B. et al. Nature 437, 227–230 (2005).

    CAS  Article  ADS  Google Scholar 

  3. 3

    Reeves, G. D. et al. Science 341, 991–994 (2013).

    CAS  Article  ADS  Google Scholar 

  4. 4

    Baker, D. N. et al. Science 340, 186–190 (2013).

    CAS  Article  ADS  Google Scholar 

  5. 5

    Kennel, C. F. & Petschek, H. E. J. Geophys. Res. 71, 1–28 (1966).

    Article  ADS  Google Scholar 

  6. 6

    Lyons, L. R. & Thorne, R. M. J. Geophys. Res. 78, 2142–2149 (1973).

    Article  ADS  Google Scholar 

  7. 7

    Thorne, R. M. et al. Nature 504, 411–414 (2013).

    CAS  Article  ADS  Google Scholar 

  8. 8

    Morgan, M. G. & Allcock, G. McK. Nature 177, 30–31 (1956).

    Article  ADS  Google Scholar 

  9. 9

    Helliwell, R. A. Whistlers and Related Ionospheric Phenomena (Stanford Univ. Press, 1965).

    Google Scholar 

  10. 10

    Thorne, R. M. & Kennel, C. F. J. Geophys. Res. 76, 4446–4453 (1971).

    Article  ADS  Google Scholar 

  11. 11

    Summers, D., Thorne, R. M. & Xiao, F. J. Geophys. Res. 103, 20487–20500 (1998).

    CAS  Article  ADS  Google Scholar 

  12. 12

    Shprits, Y. Y., Li, W. & Thorne, R. M. J. Geophys. Res. 111, A12206 (2006).

    Article  ADS  Google Scholar 

  13. 13

    Kessel, R. L., Fox, N. J. & Weiss, M. Space Sci. Rev. 179, 531–543 (2012).

    Article  ADS  Google Scholar 

  14. 14

    Fälthammar, C.-G. J. Geophys. Res. 70, 2503–2516 (1965).

    MathSciNet  Article  ADS  Google Scholar 

  15. 15

    Loto'aniu, T. M. et al. J. Geophys. Res. 115, A12245 (2010).

    Article  ADS  Google Scholar 

  16. 16

    Cattell, C. et al. Geophys. Res. Lett. 35, L01105 (2008).

    Article  ADS  Google Scholar 

  17. 17

    Wygant, J. R. et al. Space Sci. Rev. 179, 183–220 (2013).

    Article  ADS  Google Scholar 

Download references

Author information



Corresponding author

Correspondence to Mary K. Hudson.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Hudson, M. A fast lane in the magnetosphere. Nature 504, 383–384 (2013).

Download citation

Further reading


By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.


Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing