same density $c_{0}n \sim 85$nK and $c_{2}n \sim 4.25$nK (open).

Numerical Investigation
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In an experiment, the atoms are typically confined to a harmonic trap. Calculating the modes in a trap is much more difficult than in free space. Example calculations [@nikuni] do not always yield simple physical pictures. Moreover experiments are typically performed in a limit where linear response is not applicable [@du].

For these reasons, we perform a numerical study of the spin dynamics for a trapped gas. Furthermore while the calculations in part I pertained to the collisionless regime, using a simple relaxation time approximation, we model collisions in the gas.

We address two questions here:

1.  What happens if the initial state is not a stationary state with respect to the external magnetic field ?

2.  Can the instability in the polar state be observed experimentally?

To address question $1$, we consider a ferromagnet in the $x$ direction, in the presence of a field along $z$. We find that of coherent population dynamics in a collisionless gas. By controlling the rate of decay of spin current, one may be able to experimentally observe coherent oscillations even in a classical spinor gas.

With regards to $2$, taking 