Abstract
A simple one-dimensional model of a ferromagnet in a vortex configuration is proposed for qualitative description of the structure and dynamics of a vortex in a two-dimensional magnetic system. The model describes a system of four parallel spin chains with single-ion anisotropy of the easy-plane type and includes elements of both the continuum (along the chains) and discrete (perpendicular to the chains) descriptions. An analytical study is made of the static vortices and moving vortex solutions of stationary profile. The analytical results of a calculation of the static structure of the vortices are supplemented by a numerical analysis for the analogous discrete systems and are in good agreement with the numerical data. The approach is generalized to the case of the description of gyrotropic motion of vortices of stationary profile in the framework of the collective variables method for the combined continuum–discrete description. The results are analyzed and compared with the data for two-dimensional magnets.
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