Equation of motion of the Abrikosov vortex in broad superconducting films

Title	Equation of motion of the Abrikosov vortex in broad superconducting films
Authors	M. A. Vasjutin¹, N. D. Kuzmichev¹ ¹National Research Mordovian State University
Annotation	Mathematical modeling of the Abrikosov vortex motion in a wide superconducting film is performed. An ordinary differential equation of the second order is obtained for the vortex motion under the action of the Lorentz force taking into account the friction force during viscous flow of vortices. Real coefficients of the obtained equation for superconducting NbN films are estimated. A solution to the vortex motion equation is found in the MathCad system.
Keywords	type II superconductors, wide films, Abrikosov vortices, ordinary differential equation.
Citation	Vasjutin M. A., Kuzmichev N. D. ''Equation of motion of the Abrikosov vortex in broad superconducting films'' [Electronic resource]. Proceedings of the International Scientific Youth School-Seminar "Mathematical Modeling, Numerical Methods and Software complexes" named after E.V. Voskresensky (Saransk, July 29-31, 2025). Saransk: SVMO Publ, 2025. - pp. 58-60. Available at: https://conf.svmo.ru/files/2025/papers/paper10.pdf. - Date of access: 30.08.2025.