  This paper addressses the kinetics and dynamics of a family of domain wall
solutions along classical antiferromagnetic Heisenberg spin chains at low
energies. The equation of motion is derived and found to have long range
position- and velocity-dependent two-body forces. A 'quiescent' regime is
identified where the forces between walls are all repelling. Outside this
regime some of the interactions are attractive, giving rise to wall collisions
whereupon the colliding walls annihilate. The momentum of the system is found
to be conserved in the quiescent regime and to suffer discontinuous jumps upon
annihilation. The dynamics are illustrated by an exact solution for a double
wall system and a numerical solution for a many-wall system.
  On circular chains the equations support stable periodic stripes that can
rotate as a rigid body. It is found that the stripes are more stable the faster
they rotate. The periodic structure can be destabilised by perturbing the
walls' angular velocity in which case there is a transition to another periodic
structure, possibly via a cascade of annihilation events.
