2010/06/30 by Evgeny Kozik, Boris Svistunov · 1 citation
Physics and Astronomy · #cond-mat.other #physics.flu-dyn
paper · pdf · doi:10.1103/physrevb.82.140510
published as Phys. Rev. B 82, 140510(R) (2010) · 4 REVTeX pages, minor stylistic changes, references to recent related preprints added
arxiv created 2010/08/22 · arxiv updated 2015/05/19
Dynamics of quantized vortex lines in a superfluid feature symmetries associated with the geometric character of the complex-valued field, w(z)=x(z)+iy(z), describing the instant shape of the line. Along with a natural set of Noether's constants of motion, which---apart from their rather specific expressions in terms of w(z)---are nothing but components of the total linear and angular momenta of the fluid, the geometric symmetry brings about crucial consequences for kinetics of distortion waves on the vortex lines---the Kelvin waves. It is the geometric symmetry that renders Kelvin-wave cascade local in the wavenumber space. Similar considerations apply to other systems with purely geometric degrees of freedom.