The motion of grain boundaries in hexagonal patterns from an order parameter equation was analyzed. The standard Ginzburg-Landau equation was extended for slowly varying amplitude to incorporate nonanalytic corrections. As in crystalline phases, defect motion was found to be opposed by short range forces with periodicity and amplitude that strongly depend on the misorientation angle between domains.
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We are indebted to François Drolet for useful discussions. This research has been supported by the ?>U.S. Department of Energy, Contract No. DE-FG05-95ER14566.