Perturbations of vortex ring pairs

Steven S. Gubser, Bart Horn, Sarthak Parikh

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

We study pairs of coaxial vortex rings starting from the action for a classical bosonic string in a three-form background. We complete earlier work on the phase diagram of classical orbits by explicitly considering the case where the circulations of the two vortex rings are equal and opposite. We then go on to study perturbations, focusing on cases where the relevant four-dimensional transfer matrix splits into two-dimensional blocks. When the circulations of the rings have the same sign, instabilities are mostly limited to wavelengths smaller than a dynamically generated length scale at which single-ring instabilities occur. When the circulations have the opposite sign, larger wavelength instabilities can occur.

Original languageEnglish (US)
Article number046001
JournalPhysical Review D
Volume93
Issue number4
DOIs
StatePublished - Feb 10 2016

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

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