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Dynamics of breakup of multiple vortices in Gross-Pitaevskii equations of superfluids
KTH, School of Electrical Engineering (EES), Electromagnetic Engineering.ORCID iD: 0000-0001-7269-5241
2011 (English)In: Journal of Mathematical Physics, ISSN 0022-2488, E-ISSN 1089-7658, Vol. 52, no 9Article in journal (Refereed) Published
Abstract [en]

In this paper we study the Gross-Pitaevskii equation of the theory of superfluidity, i.e., the nonlinear Schroumldinger equation of the Ginzburg-Landau type. We investigate the dynamics of the breakup of the double vortex. More specifically, we prove instability of the double vortex, compute the complex eigenvalue responsible for this instability, and derive the dynamical equation of motion of (centers of) single vortices resulting from splitting of the double vortex. We expect that our analysis can be extended to vortices of higher degree and to magnetic and Chern-Simmons vortices. (C) 2011 American Institute of Physics. [doi:10.1063/1.3629473]

Place, publisher, year, edition, pages
2011. Vol. 52, no 9
Keyword [en]
Bose-Einstein condensation, eigenvalues and eigenfunctions, nonlinear differential equations, Schrodinger equation, superfluidity, vortices
National Category
Physical Sciences
URN: urn:nbn:se:kth:diva-50324DOI: 10.1063/1.3629473ISI: 000295622100025ScopusID: 2-s2.0-80053435783OAI: diva2:480330

QC 20120119

Available from: 2012-01-19 Created: 2011-12-05 Last updated: 2013-11-29Bibliographically approved

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