  Using the theory describing the evolution of a galaxy halo due to stochastic
fluctuations developed in the companion paper, we show that a halo quickly
evolves toward the same self-similar profile, independent of its initial
profile and concentration. The self-similar part of profile takes the form of a
double power law with inner and outer exponents taking the values near -1.5 and
-3 respectively. The precise value of the inner exponent depends on the
magnitude and duration of the noisy epoch and most likely on form of the inner
profile to start. The outer exponent is the result of evolution dominated by
the external l=1 multipole resulting from the inner halo's response to noise.
  Three different noise processes are studied: (1) a bombardment by blobs of
mass small compared to the halo mass (`shrapnel'); (2) orbital evolution of
substructure by dynamical friction (`satellites'); and (3) noise caused by the
orbit of blobs in the halo (`black holes'). The power spectra in the shrapnel
and satellite cases is continuous and results in the double power law form,
independent of initial conditions. The power spectrum for black holes is
discrete and has a different form with a much slower rate of evolution. A
generic prediction of this study is that noise from transient processes will
drive evolution toward the same double power law with only weak constraints on
the noise source and initial conditions.
