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We report average profiles of the solar wind and outer radiation belt\udduring the extreme flux enhancement of relativistic electrons at\udgeosynchronous orbit (GEO). It is found that seven of top ten extreme events\udat GEO during solar cycle 23 are associated with the magnetosphere inflation\udduring the storm recovery phase as caused by the large-scale solar wind\udstructure of very low dynamic pressure (<1.0 nPa) during rapid speed\uddecrease from very high (>650 km/s) to typical (400–500 km/s) in a few\uddays. For the seven events, the solar wind parameters, geomagnetic activity\udindices, and relativistic electron flux and geomagnetic field at GEO are\udsuperposed at the local noon period of GOES satellites to investigate the\udphysical cause. The average profiles support the "double inflation"\udmechanism that the rarefaction of the solar wind and subsequent\udmagnetosphere inflation are one of the best conditions to produce the\udextreme flux enhancement at GEO because of the excellent magnetic\udconfinement of relativistic electrons by reducing the drift loss of trapped\udelectrons at dayside magnetopause

Average profiles of the solar wind and outer radiation belt during the extreme flux enhancement of relativistic electrons at geosynchronous orbit