Stochastic theory of the interaction of ions and quantized vortices in helium II
Authors:
- 30 September 1969
- journal article
- Published by The Royal Society in Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
- Vol. 312 (1511) , 519-551
Abstract
The interaction of ions and quantized vortex lines in helium II is treated by imagining that the motion of the superfluid near a vortex line acts on an ion so as to produce a potential well. The ion itself is looked upon as a Brownian particle immersed in a gas of quasi-particles. The capture of ions is pictured as a process of sedimentation into the well. The escape of the ions from the well is treated as a problem of the escape of a Brownian particle over a potential barrier. A solution of the Fokker-Planck equation for a two-dimensional well is given. Comparison of the theory with a variety of experiments is presented.Keywords
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