Phase Separation in Rotating 3He-4He Solutions
It is by now well accepted that ions interact with vortex lines through a hydrodynamic potential of the sort first suggested by Donnelly.1 This potential is essentially the hydrodynamic kinetic energy deficit in the system associated with the presence of the ion in the vicinity of the vortex line. Donnelly1 and Donnelly and Roberts2 treated the capture of an ion by a vortex line by considering the ion as a Brownian particle immersed in a gas of quasiparticles and involved in a process of sedimentation into the vortex potential wells. These ideas lead to reasonable agreement with the experimental capture cross-section data obtained by Douglass,3 Tanner,4 and Springett, et al. 5—but only over a very narrow temperature region. At the higher temperatures, above ~1.6K, thermal activation out of the vortex well gives rise to an apparent cross-section much smaller than predicted (the temperature corresponding to the appearance of this phenomenon is termed the “lifetime edge”). At lower temperatures, below ~1.4K, the cross-section is also much smaller than predicted for reasons which, when we started our investigation, were not at all clear.6 We became interested in this anomaly and began a series of experiments to probe this problem as well as other details of the ion-vortex interaction.
KeywordsVortex Ring Vortex Core Vortex Line Inverse Mobility Hydrodynamic Potential
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