Difference of Intermittency between Electric Field and Magnetic Field Fluctuations from Ion Scale Down to Sub-electron Scale in the Magnetosheath Turbulence

We use the measurements from the Magnetospheric MultiScale spacecraft to study the intermittency of the magnetic field (B-field) and electric field (E-field) fluctuations from ion scales (around 1 Hz in the spacecraft frame) to sub-electron scales (about 1000Hz) in the magnetosheath. For the first time, this study shows remarkable differences of intermittent properties between these two fields: (1) The multiorder structure functions of E-field trace fluctuations are more flattened as compared to those of B-field trace fluctuations. (2) The flatness of E-field fluctuations increases monotonically with decreasing scales and eventually exceeds 100 at 1000 Hz, whereas the flatness of B-field fluctuations does not rise so high (less than 100) and tends to fall off at frequencies larger than 1000 Hz. (3) It is revealed that.(p) monotonically and quasi-linearly increases with increasing p for B-field fluctuations even at sub-electron scales. However,.(p) for E-field is concave, turning over at around p.=.2 from increasing to decreasing trends. We quantitatively analyze and find that, with decreasing scales (defined as t), the variance of ln s (defined as.2), where s is the local standard deviation, increases much more slowly than the most probable ln s (defined as mu) decreases (i.e., l t m td d d ln d ln2.) for the B-field case, while the changing rate of the two quantities are of the same order - l >> t m td d d ln d1 3 ln2 () for the E-field case. These results indicate the distinct intermittency nature between magnetic and electric fields and impose a constraint on theoretical turbulence models.