Instability criteria for a motion of a vortex subject to a non-linear friction force |
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Institution: | 1. Institute of Metal Physics, National Academy of Sciences of Ukraine, 36 Vernadskii avenue, 03142 Kiev, Ukraine;2. Institute of Magnetism, National Academy of Sciences and Ministry of Education and Science of Ukraine, 36-B Vernadskii avenue, 03142 Kiev, Ukraine;3. Department of Mechanics, Donetsk State University of Economy and Trade, Ministry of Education and Science of Ukraine, 31 Shchors street, Donetsk, Ukraine |
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Abstract: | Here we study the instability of the vortex motion caused by non-monotonous dependence of the friction force on the vortex velocity in the presence of a gyroforce. The analysis is done within the frameworks of “minimal” model for the elastic string subject to friction force and gyroforce. We demonstrate that even a weak gyroforce renders the condition for onset of instability more strict than for a vortex not subject to gyroforce: either the friction force must exceed a threshold, or its non-monotonic velocity dependence must be a rather steep function. |
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