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Vortex dynamics at the superfluid λ-transition

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Abstract

A vortex-ring theory of the superfluid4He λ-transition is extended to include the dynamics of the transition. The response of the vortices to an oscillating superflow is found by solving the Fokker-Planck equation. This allows a calculation of the superfluid relaxation time, which is in agreement with Landau-Khalatnikov theory and with dynamic scaling. At high frequencies the transition becomes broadened, with both the superfluid density and the dissipation remaining finite at and above Tλ. Comparison is made to earlier theories that use high-temperature expansions and renormalization-group expansions. Applications to other subjects such as mutual friction, high-Tc superconductors, and rapidly quenched systems are briefly discussed.

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  1. Physics Department, University of California, 90024, Los Angeles, CA

    Gary A. Williams

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Williams, G.A. Vortex dynamics at the superfluid λ-transition. J Low Temp Phys 93, 1079–1095 (1993). https://doi.org/10.1007/BF00692050

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