k^-3 superfluid spectrum of highly curved interacting quantum vortices
Other Condensed Matter
2010-02-24 v1 Quantum Physics
Abstract
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.
Keywords
Cite
@article{arxiv.1002.4380,
title = {k^-3 superfluid spectrum of highly curved interacting quantum vortices},
author = {Jeffrey Yepez},
journal= {arXiv preprint arXiv:1002.4380},
year = {2010}
}