Other Research Interests
We are doing video analysis of wave-induced drift flow in a circular wave
tank. Standing, and rotationally polarized waves have interesting
non-linear interactions between their resonant modes, which include DC
flow. A video camera and computer tracks the position of a tracer
particle revealing oscillatory mode and drift motion simultaneously.
These classical nonlinear interactions compliment the superfluid swirling
Classical Fluid Waves
Andreev reflection associated with normal to super conversion should also
lead to stimulated amplification of AC superconducting modes, for the same
reasons as the third sound. Plans are in the works for a junction
amplifier based on this principle.
We are working on simulations of vortex annealing in an attempt to model
the pinned vortices left over from the "big bang" of the Kosterlitz-Thouless
transition. In a simple model involving only a friction-like dissipation,
all physical parameters are scaled away, and the remnant vortex density
is a unitless number, approximately 0.072. Interpretation: if an
isolated pair of vortices (within the model) just de-pin at a threshold
distance of L, the annealed density is 0.072/L2.
Pure Mathematical Recreations
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