We present a statistical study of whistler waves behind dipolarization fronts (DFs) based on the Cluster satellites measurements during the years [2001][2002][2003][2004][2005][2006][2007]. We find 732 DFs during the 7 year tail periods (X GSM ≤ À8 R E and |Y GSM | ≤ 10 R E ) in the plasma sheet. By constraining the whistler waves in a 1 min interval behind the DFs (the maximum B z ), we find that 381 DFs (about 50%) are followed by whistler waves. We study the occurrence rate of whistler waves, the wave characteristic parameters, and the corresponding electron distribution, not only in a global view but also in the local DF coordinate. In a global view, behind the DFs, the whistler waves mostly occur in the radial distance between 17 and 18 R E . They have a higher occurrence rate on the dawnside than the duskside. On the other hand, in the local DF coordinate, whistler waves have a higher occurrence rate around the meridian of DF. In addition, the average wave amplitudes increase toward the dawnside of DF. Associated with the whistler waves, electron distributions have a dominant perpendicular anisotropy for electrons with energy higher than 5 keV. Lower energy electron distributions do not have such perpendicular anisotropy dominance. Moreover, the perpendicular anisotropy for electrons >5 keV increases toward the dawnside of DF, which may be caused by the drift-betatron acceleration. We suggest that the free energy source for whistler waves behind the DFs is probably the perpendicular anisotropy of >5 keV electrons caused by the betatron acceleration.
IntroductionDipolarization front (DF), characterized by a sharp increase of magnetic field component normal to the neutral sheet B z , has been intensively studied in recent years [Nakamura et al., 2002;Runov et al., 2009;Zhou et al., 2009]. Observations by Geotail, Cluster, and THEMIS (Time History of Events and Macroscale Interactions during Substorms) spacecraft have shown that the sharp B z enhancements of the DFs are typically preceded by a minor B z dip, and followed by a decrease of plasma density and plasma pressure [Ohtani, 2004;Runov et al., 2009;Schmid et al., 2011]. These DFs are thin current sheets embedded within the earthward fast plasma flows [Zhou et al., 2009;Sergeev et al., 2009]. As a boundary layer with a typical scale around the ion inertial length or gyroradius, it separates the relatively cold dense ambient plasma from the hot tenuous earthward fast flows [Runov et al., 2011]. Behind the DF, energetic electron flux increases were usually observed [e.g., Zhou et al., 2009;Deng et al., 2010;Khotyaintsev et al., 2011;Ashour-Abdalla et al., 2011;Fu et al., 2011]. The electron acceleration may be attributed to both the adiabatic and nonadiabatic processes [Birn et al., 2012]. The adiabatic process, including the Fermi and betatron acceleration [Apatenkov et al., 2007;Fu et al., 2011], elevates the energy of electrons uniformly, so that the power law index of the electron energy spectrum does not change during this process.The nonadia...