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Vortex stretching as a mechanism for quantum kinetic energy decay

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Kerr, Robert M.. (2011) Vortex stretching as a mechanism for quantum kinetic energy decay. Physical Review Letters, Vol.106 (No.22). Article: 224501. ISSN 0031-9007

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Official URL: http://dx.doi.org/10.1103/PhysRevLett.106.224501

Abstract

A pair of perturbed anti-parallel quantum vortices, simulated using the three-dimensional Gross-Pitaevskii equations, is shown to be unstable to vortex stretching. This results in kinetic energy K∇ψ being converted into interaction energy EI and eventually local kinetic energy depletion that is similar to energy decay in a classical uid, even though the governing equations are Hamiltonian and energy conserving. The intermediate stages include: the generation of vortex waves, their deepening, multiple reconnections, the emission of vortex rings and phonons and the creation of an approximately -5/3 kinetic energy spectrum at high wavenumbers. All the wave generation and reconnection steps follow from interactions between the two original vortices, unlike the self- interactions in vortex wave models. A four vortex example is given to demonstrate that some of these steps might be general.

Item Type:	Journal Article
Subjects:	Q Science > QC Physics
Divisions:	Faculty of Science > Engineering Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH):	Quantum theory, Topological defects (Physics), Superfluidity
Journal or Publication Title:	Physical Review Letters
Publisher:	American Physical Society
ISSN:	0031-9007
Official Date:	1 June 2011
Volume:	Vol.106
Number:	No.22
Number of Pages:	4
Page Range:	Article: 224501
Identification Number:	10.1103/PhysRevLett.106.224501
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Funder:	Leverhulme Trust (LT), European Union (EU)
Grant number:	F/00215/AC (LT)
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URI:	http://wrap.warwick.ac.uk/id/eprint/37617