On phase ordering behind the propagating front of a second-order transition
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In a real system the heating is nonuniform, and a second-order phase transition to a broken-symmetry phase occurs by propagation of a temperature front. Two parameters, the cooling rate τQ and the transition front velocity νT determine the nucleation of topological defects. Depending on the relation of these parameters, two regimes are found: in the regime of fast propagation defects are created according to the Zurek scenario for the homogeneous case, while in the slow-propagation regime vortex formation is suppressed.
PACS numbers11.27.+d 67.40.Vs 67.57.Fg 98.80.Cq
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