Integrable Vortex Dynamics in Anisotropic Planar Spin Liquid Model
| dc.contributor.author | Gürkan, Zeynep Nilhan | |
| dc.contributor.author | Pashaev, Oktay | |
| dc.coverage.doi | 10.1016/j.chaos.2006.11.013 | |
| dc.date.accessioned | 2016-09-20T06:40:49Z | |
| dc.date.available | 2016-09-20T06:40:49Z | |
| dc.date.issued | 2008 | |
| dc.description.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. | en_US |
| dc.description.sponsorship | TÜBİTAK under the Grant No. 106T447 | en_US |
| dc.identifier.citation | 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 | en_US |
| dc.identifier.doi | 10.1016/j.chaos.2006.11.013 | en_US |
| dc.identifier.doi | 10.1016/j.chaos.2006.11.013 | |
| dc.identifier.issn | 0960-0779 | |
| dc.identifier.issn | 0960-0779 | |
| dc.identifier.scopus | 2-s2.0-41949124262 | |
| dc.identifier.uri | http://doi.org/10.1016/j.chaos.2006.11.013 | |
| dc.identifier.uri | https://hdl.handle.net/11147/2148 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier Ltd. | en_US |
| dc.relation.ispartof | Chaos, Solitons and Fractals | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Crystal lattices | en_US |
| dc.subject | Mathematical models | en_US |
| dc.subject | Polynomial approximation | en_US |
| dc.subject | Problem solving | en_US |
| dc.subject | Schrodinger equation | en_US |
| dc.subject | Vortex flow | en_US |
| dc.title | Integrable Vortex Dynamics in Anisotropic Planar Spin Liquid Model | en_US |
| dc.type | Article | en_US |
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| gdc.author.institutional | Gürkan, Zeynep Nilhan | |
| gdc.author.institutional | Pashaev, Oktay | |
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| gdc.description.department | İzmir Institute of Technology. Mathematics | en_US |
| gdc.description.endpage | 253 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 238 | en_US |
| gdc.description.volume | 38 | en_US |
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| gdc.oaire.keywords | Nonlinear Sciences - Exactly Solvable and Integrable Systems | |
| gdc.oaire.keywords | Polynomial approximation | |
| gdc.oaire.keywords | Vortex flow | |
| gdc.oaire.keywords | FOS: Physical sciences | |
| gdc.oaire.keywords | Crystal lattices | |
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