propose [@lrg] the annealing of smaller domains to give a large region of DCC.

In this paper we consider the structure of the effective potential in the chiral model and note that more general possibilities exist for the symmetry breaking term than considered in these previous investigations. [*This allows for the existence of a second local minimum of the potential, in addition to the true global minimum, leading to the formation of domain walls which interpolate between the two minima.*]{} These walls are unstable unless the two minima are exactly degenerate. We consider constraints coming from cosmology on the parameters responsible for the existence of such walls. We find that such constraints are extremely weak. We then consider phenomenological consequences of the richer structure of the effective potential of the model, especially from the point of view of the formation of DCC. We show that in these more general models large domain walls naturally form but eventually disappear, leading to emission of pions from shell-like structures. Bose-Einstein interferometry should be able to reveal any such shells [@pratt]. We further argue that large regions of DCC may arise naturally in these models, and may be able to account for phenomena like 