title: Ð¡ÑÑÑÐºÑÑÑÐ° Ð¸ Ð²Ð·Ð°Ð¸Ð¼Ð¾Ð´ÐµÐ¹ÑÑÐ²Ð¸Ðµ Ð²Ð¸Ñ ÑÐµÐ¹ Ð² Ð´Ð»Ð¸Ð½Ð½Ð¾Ð¼ Ð¿ÐµÑÐ¸Ð¾Ð´Ð¸ÑÐµÑÐºÐ¸ Ð¼Ð¾Ð´ÑÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð¼ Ð´Ð¶Ð¾Ð·ÐµÑÑÐ¾Ð½Ð¾Ð²ÑÐºÐ¾Ð¼ ÐºÐ¾Ð½ÑÐ°ÐºÑÐµ
title: Ð¼Ð¾Ð½Ð¾Ð³ÑÐ°ÑÐ¸Ñ
titleType: Subtitle
title: The structure and interaction of vortices in a long periodically modulated Josephson contact
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: 2024
Subjects: Ð¡Ð²ÐµÑÑ Ð¿ÑÐ¾Ð²Ð¾Ð´Ð¸Ð¼Ð¾ÑÑÑ Ð²ÑÑÐ¾ÐºÐ¾ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÐ½Ð°Ñ

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description: The physics of the processes occurring in conventional superconductors (the Meissner effect, the formation of vortices, their interaction with each other and with the magnetic field) is understandable, and their theory, based on the Ginzburg-Landau equations, was built even before the creation of the BCS theory. In ceramic HTSÐ¡, the theoretical description of these phenomena faces difficulties related to the cellular structure of the medium. The current states differ in their structure from those existing in conventional superconductors. The Ginzburg-Landau equations are not applicable in this situation. This monograph examines the so-called long Josephson contact, in which all the processes taking place in superconducting samples are possible: the expulsion of a magnetic field, the appearance of vortices, their pinning and all related phenomena, in particular the penetration of an external magnetic field into contact. Mathematically, this problem is much simpler than a similar problem for a three-dimensional superconductor. It can be solved accurately enough, which allows to calculate the structure of vortices, find pinning energies and forces, check the correctness of the Bean model, and also understand various details of the processes taking place.