Abstract
GEOPHYSICAL RESEARCH LETTERS,
VOL. 33,
L24104,
4 PP., 2006
doi:10.1029/2006GL028156
Whistler critical Mach number and electron acceleration at the bow shock: Geotail observation
Kwasan Observatory, Kyoto University, Kyoto, Japan
Institute of Space and Astronomical Science, Japan Aerospace Exploration Agency, Sagamihara, Japan
Department of Earth and Planetary Science, University of Tokyo, Tokyo, Japan
Tokyo Institute of Technology, Tokyo, Japan
Institute of Space and Astronomical Science, Japan Aerospace Exploration Agency, Sagamihara, Japan
Institute of Space and Astronomical Science, Japan Aerospace Exploration Agency, Sagamihara, Japan
Institute of Space and Astronomical Science, Japan Aerospace Exploration Agency, Sagamihara, Japan
Radio Atmospheric Science Center, Kyoto University, Kyoto, Japan
Institute of Space and Astronomical Science, Japan Aerospace Exploration Agency, Sagamihara, Japan
Space Science Center, University of New Hampshire, Durham, New Hampshire, USA
Research Institute for Sustainable Humanosphere, Kyoto University, Kyoto, Japan
Institute of Space and Astronomical Science, Japan Aerospace Exploration Agency, Sagamihara, Japan
Institute of Space and Astronomical Science, Japan Aerospace Exploration Agency, Sagamihara, Japan
The ‘whistler critical Mach number’, M crit w , is one of the dimensionless parameters that characterizes collisionless shocks. Originally, it was introduced to indicate
the critical point above which whistler waves do not propagate upstream. Indeed our analysis of Geotail data at the Earth's
bow shock shows intense whistler waves in the sub-critical regime, M A < M crit w , but not in the super-critical regime. In this paper, we further report that M crit w seems to regulate the electron acceleration efficiency at the shocks. At the shock transition layer it is found that the
spectral index Γ of electron energy spectra defined by f(E)
E −Γ is distributed between 3.5 and 5.0 in the sub-critical regime, while the hardest energy spectra with Γ = 3–3.5 are detected
in the super-critical regime. We discuss a possible relationship between M crit w and the electron acceleration.
Received 13 September 2006; accepted 22 November 2006; published 28 December 2006.
Citation: (2006), Whistler critical Mach number and electron acceleration at the bow shock: Geotail observation, Geophys. Res. Lett., 33, L24104, doi:10.1029/2006GL028156.
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