  We examine the dynamics of a quasi-two-dimensional spin-1 condensate in which
the quadratic Zeeman energy q is suddenly quenched to a value where the system
has a ferromagnetic ground state. There are two distinct types of ferromagnetic
phases, i.e. a range of q values where the magnetization prefers to be in the
direction of the external field (easy-axis), and a range of q values where it
prefers to be transverse to the field (easy-plane). We study the quench
dynamics for a variety of q values and show that there is a single dynamical
critical exponent to characterize the scale invariant domain growth for each
ferromagnetic phase. For both quenches we give simple analytic models that
capture the essential scale invariant dynamics, and correctly predict the
exponents. Because the order parameter for each phase is different, the natures
of the domains and the relevant topological defects in each type of coarsening
is also different. To explore these differences we characterize the fractal
dimension of the domain walls, and the relationship of polar-core spin vortices
to the domains in the easy-plane phase. Finally, we consider how the energy
liberated from the quench thermalizes in the easy-axis quench. We show that
local equilibrium is established in the spin waves on moderate time scales, but
continues to evolve as the domains anneal.
