k^-3 superfluid spectrum of highly curved interacting quantum vortices

Details k^-3 superfluid spectrum of highly curved interacting quantum vortices k^-3 superfluid spectrum of highly curved interacting quantum vortices

2010-02-23

arxiv.org/abs/1002.4380v1

Physics

Condensed Matter

Other Condensed Matter

Scientific paper

Presented is a prediction, based on the Frenet-Serret differential geometry of space curves, that the wave number dependence of the average kinetic energy per unit length of two mutually interacting highly curved quantum vortex scales as k^-3. The interacting quantum vortices are helical in shape, supporting circularly polarized counter-propagating waves, with arbitrary curvature and torsion. This power-law spectrum agrees with the high-k spectrum found in precise quantum simulations of turbulent superfluidity with tangle of highly curved and excited quantum vortices.

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