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We study the propagation of the normal-superfluid interface under inhomogeneous cooling. Assuming a uniform temperature gradient we establish the conditions for creating topological defects for both slow and fast superfluid transitions using the time-dependent Ginzburg-Landau theory. For fast transitions, we find agreement with the Kibble-Zurek scenario. Experiments where the temperature change is generated by absorption of a neutron in ³He are discussed.
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Kopnin et al. (1999) studied this question.
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