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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
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)
References:	[1] R.M. Kerr,. Ph.D. thesis, Coop. Thesis No. 64, Cornell University and NCAR. (1981). Abstract at: http://library.dialog.com/bluesheets/html/bl0035.html This result was �rst noted by S. Patterson. [2] S.Z. Alamri et al., Phys. Rev. Lett. 101, 215302 (2008). [3] M. R. Smith et al.,Phys. Rev. Lett. 71, 2583 (1993). [4] V. Tsepelin, & K. Zaki, Phys. Rev. Lett. 96, 035301 (2006). [5] P.M Walmsley, & A.I. Golov, Phys. Rev. Lett. 100, 245301 (2008). [6] R.M. Kerr, J. Fluid Mech. 153, 31 (1985). [7] Y. Kaneda, et al., Phys. Fluids 15, L21 (2003). [8] J. Yepez et al., Phys. Rev. Lett. 103, 084501 (2009). [9] J. Maurer, & P. Tabeling, Europhys. Lett. 43, 29 (1998). [10] P.-E. Roche, et al., Euro. Phys. Lett. 77, 66002 (2007). [11] K.W. Schwarz, & R.J. Donnelly, Phys. Rev. Lett. 17, 1088 (1966). [12] G.P. Bewley et al., Proc. Nat. Aca. Sci. 105, 13707 (2008). [13] M.D. Bustamante, & R.M. Kerr, Physica D 237, 1912 (2008). [14] N.G. Berlo�,J. Phys. A 37, 1617 (2004). [15] J. Koplik, & H. Levine,Phys. Rev. Lett. 71, 1375 (1993). [16] C. Nore, M. Abid, M.E. Brachet, Phys. Rev. Lett. 78, 3896 (1997).; Phys. Fluids 9, 2644 (1997). [17] M. Leadbeater et al., Phys. Rev. A 67, 015601 (2003). [18] R.P. Feynman, Progress in Low Temperature Physics I, 17 (1955). [19] B. Kozik, & B. Svistunov, Phys. Rev. Lett. 92, 035301 (2004). [20] J. Laurie et al., arXiv:0911.1733v2, (2010). [21] M. Leadbeater, et al.Phys. Rev. Lett. 86, 1410 (2001). [22] N.G. Berlo�,Phys. Rev. A 69, 053601 (2004). [23] R.M. Kerr, arXiv:1006.3911v2, (2010).
URI:	http://wrap.warwick.ac.uk/id/eprint/37617