A Monte Carlo study of the time evolution of atomic positions and occu
pancies within the basal plane of YBa2Cu3Oz is performed. The simulati
ons are based upon an anisotropic Ising model, and, for the first time
, include elastic interactions associated with continuous displacement
s of atoms within the basal plane. Samples quenched to temperatures be
low the disorder-order transition curve from the disordered tetragonal
state rapidly form orthorhombic domains separated by twin boundaries'
The resulting microstructure is observed to coarsen and eventually to
anneal into a single domain that exhibits the experimentally observed
2 1/2 a0 X 2 1/2 a0 superlattice reflections. Strain maps are used to
elucidate and interpret these observations.