Title | Mathematical modeling of surface layer magnetization in axisymmetric hard superconductors |
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Authors | N. D. Kuzmichev^{1}, A. A. Shushpanov^{1}, M. A. Vasyutin^{1}^{1}National Research Ogarev Mordovia State University |

Annotation | In this paper, we present the results of numerical simulation for hard superconductors of the 2nd kind. For results similar to granular samples, the shape of the studied samples was chosen to be spherical. The calculation was carried out on the basis of the equations of electrodynamics and models of the critical state of superconductors. The current distribution in the samples is calculated iteratively, by means of numerical integration of the "current motion equation". The main emphasis in the work is on the consideration of equilibrium and nonequilibrium zones in a superconductor. The magnetization loops for small granules of different sizes, as well as the magnetization of near-surface layers, are obtained. |

Keywords | hard II-type superconductors, critical state, numerical integration |

Citation | Kuzmichev N. D., Shushpanov A. A., Vasyutin M. A. ''Mathematical modeling of surface layer magnetization in axisymmetric hard superconductors'' [Electronic resource]. Proceedings of the International Scientific Youth School-Seminar "Mathematical Modeling, Numerical Methods and Software complexes" named after E.V. Voskresensky (Saransk, July 14-18, 2022). Saransk: SVMO Publ, 2022. - pp. 125-128. Available at: https://conf.svmo.ru/files/2022/papers/paper19.pdf. - Date of access: 02.12.2023. |

**© SVMO, National Research Mordovia State University, 2023**

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