Integrable Vortex Dynamics in Anisotropic Planar Spin Liquid Model

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dc.creatorGurkan, Zeynep Nilhan
dc.creatorPashaev, Oktay
dc.date2006-11-02
dc.date.accessioned2026-07-07T07:33:34Z
dc.date.available2026-07-07T07:33:34Z
dc.descriptionThe problem of magnetic vortex dynamics in an anisotropic spin liquid model is considered. For incompressible flow the model admits reduction to saturating Bogomolny inequality analytic projections of spin variables, subject the linear holomorphic Schrödinger equation. It allows us to construct N vortex configurations in terms of the complex Hermite polynomials. Using complex Galilean boost transformations, the interaction of the vortices and the vortex chain lattices (vortex crystals) are studied. By the complexified Cole-Hopf transformation, integrable N vortex dynamics is described by the holomorphic Burgers equation. Mapping of the point vortex problem to N-particle problem, the complexified Calogero-Moser system, showing its integrability and the Hamiltonian structure, is given.
dc.description15 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/nlin/0611002
dc.identifierhttp://arxiv.org/abs/nlin/0611002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119504
dc.subjectExactly Solvable and Integrable Systems
dc.subjectOther Condensed Matter
dc.subjectPattern Formation and Solitons
dc.titleIntegrable Vortex Dynamics in Anisotropic Planar Spin Liquid Model
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