Abstract

We study the growth kinetics of a droplet of the ${}^{3}\mathrm{He}$-concentrated phase in a superfluid ${}^{3}{\mathrm{H}\mathrm{e}\ensuremath{-}}^{4}\mathrm{He}$ supersaturated mixture. The growth equation, which generalizes the Rayleigh-Plesset equation for a radial expansion of bubbles in the normal fluids, is derived under the assumption of an arbitrary boundary condition for the normal velocity. The total intensity of the first- and second-sound emissions for a droplet expanding in the superfluid mixture is calculated. The emission of the second-sound mode is found to be predominant due to the smallness of the second-sound velocity compared with the velocity of the first sound. In contrast to demixing normal mixtures the diffusion and heat conduction processes play a minor role in the phase-separation kinetics of the supersaturated ${}^{3}{\mathrm{H}\mathrm{e}\ensuremath{-}}^{4}\mathrm{He}$ superfluid mixtures.

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