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Perturbations of vortex ring pairs

Author(s): Gubser, Steven S; Horn, Bart; Parikh, Sarthak

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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 twodimensional 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.
Publication Date: 15-Feb-2016
Electronic Publication Date: 10-Feb-2016
Citation: Gubser, Steven S, Horn, Bart, Parikh, Sarthak. (2016). Perturbations of vortex ring pairs. PHYSICAL REVIEW D, 93 (10.1103/PhysRevD.93.046001
DOI: doi:10.1103/PhysRevD.93.046001
ISSN: 2470-0010
EISSN: 2470-0029
Type of Material: Journal Article
Journal/Proceeding Title: PHYSICAL REVIEW D
Version: Author's manuscript

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