V. T. Zhukov, V. M. Krasnov, M. M. Krasnov, N. D. Novikova, O. B. Feodoritova, “On numerical simulation of physical processes in high-temperature superconductors”, Keldysh Institute preprints, 2019,129, 21 pp.

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On numerical simulation of physical processes in high-temperature superconductors

V. T. Zhukov^a, V. M. Krasnov^bc, M. M. Krasnov^ba, N. D. Novikova^a, O. B. Feodoritova^a

^a Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow
^b Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
^c Department of Physics, Stockholm University, AlbaNova University Center, SE-10691 Stockholm, Sweden

Abstract: The approach to 3D simulation of high-temperature superconductivity in superconductors where the layers form a structure with intrinsic Josephson junctions is presented. An approximate three-dimensional mathematical model is formulated, taking into account the nonlinear interaction of heating and electric field. This interaction is modeled by dependences of thermal conductivity and resistivity on temperature. Model calculations of the bismuth high-temperature superconductor Bi-2212 are carried out.

Keywords: numerical simulation, high-temperature superconductivity, heatconduction, electric field.

DOI: 10.20948/prepr-2019-129