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Analysis of heat distribution in a niobium nitride membrane based on a three-dimensional model under pulsed electric current

TitleAnalysis of heat distribution in a niobium nitride membrane based on a three-dimensional model under pulsed electric current
AuthorsE. V. Danilova1, N. D. Kuzmichev1, M. A. Vasyutin1
1National Research Mordovian State University
AnnotationThe paper considers the process of heat propagation in an NbN membrane when a current pulse passes through it based on an inhomogeneous three-dimensional thermal conductivity equation. A 3D model of the "contacts–membrane–substrate-environment" system is constructed. The maximum heating of the membrane is estimated. It is shown that the contact material (beryllium bronze BeCu) provides an effective heat sink from a superconducting membrane in a resistive state when a high-density current flows through it.
Keywordsheat transfer, inhomogeneous heat equation, boundary value problem, beryllium bronze, NbN membrane
CitationDanilova E. V., Kuzmichev N. D., Vasyutin M. A. ''Analysis of heat distribution in a niobium nitride membrane based on a three-dimensional model under pulsed electric current'' [Electronic resource]. Proceedings of the XVI International scientific conference "Differential equations and their applications in mathematical modeling". (Saransk, July 17-20, 2023). Saransk: SVMO Publ, 2023. - pp. 61-65. Available at: https://conf.svmo.ru/files/2023/papers/paper08.pdf. - Date of access: 06.04.2025.