Exact and Approximate Analytical Solutions of Stationary Vortexlike Modes in the d-Dimensional Anisotropic Classical O(2) (XY) Spin Model
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概要
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Analytical solutions to nonlinear difference equations describing stationary states of the d-dimensional classical O(2) (XY) spin model are studied. The Hirota bilinear operator formalism is employed to obtain exact and approximate stationary vortex-like-mode solutions having a form somewhat similar to a discrete version of vortex solutions to the two-dimensional sine-Gordon equation. The former exists for a specific case, while the existence condition for the latter is much less restrictive. The obtained analytical result is demonstrated in numerical calculations of vortex profiles for a two-dimensional model O(2) spin system, in which a single vortex and a periodic array of vortex-antivortex pairs are shown.
- 社団法人日本物理学会の論文
- 1993-07-15
著者
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Takeno Shozo
Laboratory of Physics, Faculty of Engineering and Design, Kyoto Institute of Technology
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Takeno Shozo
Laboratory Of Physics Faculty Of Engineering And Design Kyoto Institute Of Technology
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Taniguchi K
Department Of Physics Faculty Of Science Nara Women's University
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Kawasaki Kazuko
Department of Physics, Faculty of Science, Nara Women's University
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Taniguchi Kazuko
Department of Physics, Faculty of Science, Nara Women's University
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Kawasaki Kazuko
Department Of Physics Faculty Of Science Nara Women's University
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Taniguchi Kazuko
Department of Physics, Faculty of Science, Nara Women's University
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