title: ÐÑÐ¾Ð½Ð¸ÐºÐ½Ð¾Ð²ÐµÐ½Ð¸Ðµ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾Ð»Ñ Ð² 3D Ð´Ð¶Ð¾Ð·ÐµÑÑÐ¾Ð½Ð¾Ð²ÑÐºÑÑ ÑÑÐµÐ´Ñ
title: Ð¼Ð¾Ð½Ð¾Ð³ÑÐ°ÑÐ¸Ñ
titleType: Subtitle
title: Penetration of the magnetic field into a 3D ordered Josephson medium
Creators: name: ÐÐµÐ»Ð¸ÐºÐ¼Ð°Ð½, ÐÐ°ÑÐº
Publisher: name: ÐÐÐÐÐ¢ÐÐ¥-ÐÐ ÐÐ¡Ð¡
Year: 2022
Subjects: ÐÐ°Ð³Ð½ÐµÑÐ¸Ð·Ð¼

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description: In the authorâs previous monograph (Zelikman M. A. Vortex states and shielding currents in an ordered 3D Josephson medium. St. Petersburg : POLYTECH-PRESS, 2020), a model of granular HTS was proposed, in which a system of quantization equations of a fluxoid in cells is used as a mathematical basis for the description. This model is a cubic lattice consisting of superconducting wires, each connection of which contains one Josephson contact. Such a model, which is commonly called a three-dimensional ordered Josephson medium, has all the properties characteristic of superconductors in an external magnetic field: Meissner shielding currents, vortices interacting with each other, a set of characteristic fields, etc., and even the quantitative ratios are similar to those in conventional and high-temperature superconductors. At the same time, the mathematical description based on the quantization equations of the fluxoid in the cells makes it possible to investigate all the details of current configurations. Therefore, the use of this approach is advisable when analyzing the processes occurring in real HTS.
The mentioned monograph contains the following results. 1. A system of difference equations is derived to describe the Meissner configuration in a three-dimensional ordered osephson medium based on the conditions of quantization of a fluxoid in cells. The Meissner configurations are calculated, as well as the values of critical fields above which such a configuration does not exist. 2. Possible configurations of linear vortices are considered and their structures and energies are calculated, as well as the minimum distances at which the centers of vortices can be located from each other. This monograph is devoted to the stability of these states and the penetration of a magnetic field into a three-dimensional ordered Josephson medium. The consideration is based on the analysis of the continuous modification of the configuration, proceeding in the direction of reducing the Gibbs potential.