Twist Helicity in Classical Vortices

ORAL

Abstract

Recent experimental work has demonstrated that a partial measure of fluid Helicity (the sum of linking and writhing of vortex tubes) is conserved even as those vortices undergo topology changing reconnections. Measuring the total Helicity, however, requires additional information about how the vortex lines are locally twisted inside the vortex core. To bridge this gap, we have developed a novel technique for experimentally measuring twist Helicity. Using this method, we are able to measure the production and eventual decay of twist for a variety of vortex evolutions. Remarkably, we observe twist dynamics capable of conserving total Helicity even in the presence of rapidly changing writhe.

*This work was supported by the NSF MRSEC shared facilities at the University of Chicago (DMR-0820054) and an NSF CAREER award (DMR-1351506). W.T.M.I. further acknowledges support from the A.P. Sloan Foundation and the Packard Foundation.

Authors

  • Martin W. Scheeler

    • University of Chicago
  • Hridesh Kedia

    • University of Chicago
  • Dustin Kleckner

    • University of California, Merced
  • William Irvine

    • James Franck Institute, University of Chicago
    • University of Chicago
    • The University of Chicago