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Title: Integrable vortex dynamics in anisotropic planar spin liquid model
Authors: Gürkan, Zeynep Nilhan
Pashaev, Oktay
Keywords: Crystal lattices
Mathematical models
Polynomial approximation
Problem solving
Schrodinger equation
Vortex flow
Issue Date: Oct-2008
Publisher: Elsevier Ltd.
Source: Gürkan, Z. N., and Pashaev, O. (2008). Integrable vortex dynamics in anisotropic planar spin liquid model. Chaos, Solitons and Fractals, 38(1), 238-253. doi: 10.1016/j.chaos.2006.11.013
Abstract: The 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) is 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. © 2006 Elsevier Ltd. All rights reserved.
ISSN: 0960-0779
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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