  We fit the spectral energy distributions (SEDs) of members of a large sample
of Fermi 2LAC blazars to synchrotron and inverse Compton (IC) models. Our main
results are as follows. (i) As suggested by previous works, the correlation
between peak frequency and curvature can be explained by statistical or
stochastic particle acceleration mechanisms. For BL Lacs, we find a linear
correlation between synchrotron peak frequency and its curvature. The slope of
the correlation is consistent with the stochastic acceleration mechanisms and
confirm previous studies. For FSRQs, we also find a linear correlation, but its
slope cannot be explained by previous theoretical models. (ii) We find a
significant correlation between IC luminosity and synchrotron luminosity. The
slope of the correlation of FSRQs is consistent with the EC process. And the
slope of the correlation of BL Lac is consistent with the SSC process. (iii) We
find several significant correlations between IC curvature and several basic
parameters of blazars (black hole mass, broad line luminosity, the Lorentz
factor of jet). We also find significant correlations between bolometric
luminosity and these basic parameters of blazars which suggest that the origin
of jet is a mixture of the mechanisms proposed by Blandford $\&$ Znajek and by
Blandford $\&$ Payne.
