next up previous
Next: Statistical Moments Up: Statistical Analysis Previous: Statistical Analysis

Histograms of Electron Density
and Core Temperature

Figures 7a and 7b show the distributions of the scaled electron density, assuming the tex2html_wrap_inline1048 dependence determined above, respectively southward and northward of tex2html_wrap_inline1026 . The data are binned over tex2html_wrap_inline1050 . In the southern hemisphere, the mean of the histogram is tex2html_wrap_inline1054 and its median tex2html_wrap_inline1344 , with a standard deviation of tex2html_wrap_inline1346 . Since the histogram shape suggests a normal distribution, we fitted to our data a Gaussian distribution (solid line), which is centered at tex2html_wrap_inline1348 . We find slightly smaller values for the northern hemisphere, where the mean of the histogram is tex2html_wrap_inline1052 and its median tex2html_wrap_inline1352 , with a standard deviation of tex2html_wrap_inline1354 , whereas the fitted Gaussian distribution has a mean of tex2html_wrap_inline1356 . The northern hemisphere is thus about 8% less dense than the southern one, and this confirms the asymmetry of the power law indices found in section 3.

   figure227
Figure 7: Histogram of the electron density poleward of tex2html_wrap_inline1026 , scaled to 1 AU assuming an tex2html_wrap_inline1048 dependence; the bin size is tex2html_wrap_inline1050 . The measured distribution is centered at tex2html_wrap_inline1052 (a) at northern latitudes and at tex2html_wrap_inline1054 (b) at southern latitudes (other cumulants are shown in Table 2), showing a 8% asymmetry between the two hemispheres. The solid line is the Gaussian which fits best the data.

Note that the mean value of each density histogram is slightly lower than that deduced from a preliminary analysis [Issautier et al., 1997]. (This would remain true even if the same latitude ranges had been chosen in both analyses.) This is because the present data are obtained using a more sophisticated analysis of the QTN spectra which now takes into account the drift velocity and is thus better adapted for high-speed stream measurements. It gives about 20,000 more measurements from pole-to-pole than the previous analysis.

Figures 8a and 8b represent the histograms of the scaled core temperature, using a bin size of 3400 K and assuming the tex2html_wrap_inline1058 law found above, poleward of tex2html_wrap_inline1026 . The south histogram is centered at tex2html_wrap_inline1060 K while the north one is centered at tex2html_wrap_inline1062 K, i.e., the electrons in the northern hemisphere are about 7% colder than in the southern one. We fitted each histogram with a single normal distribution, which has quite the same mean and standard deviation, given in Figures 8a and 8b, as the observed histograms (see Table 3). This confirms that the core temperature distributions are roughly normal as are those of the density.

   figure244
Figure 8: Histogram of the core temperature poleward of tex2html_wrap_inline1026 , scaled to 1 AU assuming a tex2html_wrap_inline1058 variation; the bin size is 3400 K. The measured distribution is centered at tex2html_wrap_inline1060 K for high southern latitudes (a) and at tex2html_wrap_inline1062 K for high northern latitudes (b), showing a 7% difference (other cumulants are given in Table 3). The solid line is the gaussian which fits best the data.


next up previous
Next: Statistical Moments Up: Statistical Analysis Previous: Statistical Analysis

Karine Issautier
Fri Nov 27 18:47:01 MET 1998