  We consider a one-dimensional gas of half-solitons in a spinor Bose-Einstein
condensate. We calculate the topological interaction potential between the
half-solitons. Using a kinetic equation of the Vlasov-Boltzmann type, we model
the coupled dynamics of the interacting solitons. We show that the dynamics of
the system in the gaseous phase is marginally stable and spontaneously evolves
towards a Wigner crystal.
