Flowing States and Vortices in the Classical XY Model in an External Field
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概要
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Uniformly flowing states and vortices in the classical XY model in an external field are studied. This is done by using a continuum approximation and by paying attention to particular solutions to nonlinear partial differential equations for two angles θ and φ of rotation of spins for which φ satisfies the Laplace equation. For these two states equations for θ have forms similar to that in the classical Ising model in a transverse field. The uniformly flowing states are therefore described by kink-type excitations identical to those in the two-dimensional Ising model. Phonon modes associated with the uniformly flowing states are also studied, which are similar to Bogoliubov phonons. Vortex solutions and vortex formation energy are studied in close similarity to the case of liquid He^4. By comparing the energies of these two states, an expression for critical velocity is obtained. By making correspondence to the case of liquid He^4, numerical values of the critical velocity and of the velocity of phonons around the uniformly flowing states are estimated. For the former the numerical value is in fair agreement with experimental data.
- 理論物理学刊行会の論文
- 1981-11-25
著者
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Takeno Shozo
Department Of Information Systems Faculty Of Information Science Osaka Institute Of Technology
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Homma Shigeo
Department Of Applied Physics Faculty Of Engineering Nagoya University
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AOKI Toshizumi
Department of Applied Physics, Faculty of Engineering Nagoya University
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Takeno Shozo
Department Of General Education Osaka Institute Of Technology
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Aoki Toshizumi
Department Of Applied Physics Faculty Of Engineering Nagoya University
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Takeno Shozo
Department of Physics, Faculty of Engineering and Design Kyoto Institute of Technology
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