Kappa-3 Superfluid Spectrum of Highly Curved Interacting Quantum Vortices

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.

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Document Details

Document Type
Technical Report
Publication Date
Feb 23, 2010
Accession Number
ADA523529

Entities

People

  • Jeffrey Yepez

Organizations

  • Air Force Research Laboratory

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Air Force Research Laboratories
  • Coordinate Systems
  • Curvature
  • Differential Geometry
  • Dispersion Relations
  • Energy
  • Equations
  • Geometry
  • Kinetic Energy
  • Low Temperature
  • Military Research
  • Nuclear Spins
  • Probability Distributions
  • Quantum Properties
  • Spectra
  • Stratified Fluids

Fields of Study

  • Physics

Readers

  • Fluid Mechanics and Fluid Dynamics.
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.
  • Structural Dynamics.

Technology Areas

  • Quantum Computing
  • Space