title: ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð¿ÑÐ¾Ð½Ð¸ÐºÐ½Ð¾Ð²ÐµÐ½Ð¸Ñ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾ÑÐ¾ÐºÐ° Ð² Ð´Ð²ÑÑÐ²ÑÐ·Ð½ÑÐ¹ ÑÐ²ÐµÑÑ Ð¿ÑÐ¾Ð²Ð¾Ð´Ð½Ð¸Ðº II ÑÐ¾Ð´Ð°
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Study of the penetration of a magnetic flux into a doubly connected type II superconductor
Creators: name: Ð¨Ð¸ÑÐ¾Ð², ÐÐ»ÐµÐºÑÐ°Ð½Ð´Ñ
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2020
Subjects: ÑÐ²ÐµÑÑ Ð¿ÑÐ¾Ð²Ð¾Ð´Ð½Ð¸Ðº II ÑÐ¾Ð´Ð°
Ð´Ð²ÑÑÐ²ÑÐ·Ð½ÑÐ¹ ÑÐ²ÐµÑÑ Ð¿ÑÐ¾Ð²Ð¾Ð´Ð½Ð¸Ðº
ÑÐ²ÐµÑÑ Ð¿ÑÐ¾Ð²Ð¾Ð´Ð¸Ð¼Ð¾ÑÑÑ
ÑÐ²ÐµÑÑ Ð¿ÑÐ¾Ð²Ð¾Ð´ÑÑÐµÐµ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ðµ
Ð¿ÑÐ¾Ð¼ÐµÐ¶ÑÑÐ¾ÑÐ½Ð¾Ðµ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ðµ
ÑÐ¼ÐµÑÐ°Ð½Ð½Ð¾Ðµ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ðµ
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ÐºÑÐ¸ÑÐ¸ÑÐµÑÐºÐ°Ñ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÐ°
ÐºÑÐ¸ÑÐ¸ÑÐµÑÐºÐ¾Ðµ Ð¿Ð¾Ð»Ðµ
Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð°Ñ Ð»ÐµÐ²Ð¸ÑÐ°ÑÐ¸Ñ
Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð°Ñ Ð¿Ð¾ÑÐµÐ½ÑÐ¸Ð°Ð»ÑÐ½Ð°Ñ ÑÐ¼Ð°
ÑÐºÐ°ÑÐºÐ¸ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾ÑÐ¾ÐºÐ°
Ð½Ð¸Ð·ÐºÐ¾ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÐ½ÑÐµ ÑÐ²ÐµÑÑ Ð¿ÑÐ¾Ð²Ð¾Ð´Ð½Ð¸ÐºÐ¸
superconductor type-II
doubly-connected superconductor
superconductivity
low-temperature superconductors
superconducting state
intermediate state
mixed state
critical state model
magnetization
critical temperature
critical field
magnetic levitation
magnetic potential well
magnetic flux jumps

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½ÑÑ ÑÐ²Ð¾Ð¹ÑÑÐ² ÑÐ²ÐµÑÑÐ¿ÑÐ¾Ð²Ð¾Ð´Ð½Ð¸ÐºÐ¾Ð² ÑÐ¿Ð»Ð¾ÑÐ½ÑÑ Ð¸ Ð½ÐµÐ¾Ð´Ð½Ð¾ÑÐ²ÑÐ·Ð½ÑÑ (Ñ Ð¿Ð¾Ð»Ð¾ÑÑÑÑ) Ð´Ð»Ñ ÑÐ°ÑÐ¸Ð¾Ð½Ð°Ð»ÑÐ½Ð¾Ð³Ð¾ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸Ñ Ð¸Ñ Ð² ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ñ Ð¿ÑÐ¸Ð»Ð¾Ð¶ÐµÐ½Ð¸ÑÑ. ÐÐ¾Ð½ÐºÑÐµÑÐ½Ð¾ Ð² ÑÐ°Ð±Ð¾ÑÐµ Ð¿ÑÐ¾Ð²Ð¾Ð´Ð¸Ð»Ð¸ÑÑ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð¼Ð¾Ð´ÐµÐ»ÑÐ½ÑÑ ÑÐ²ÐµÑÑÐ¿ÑÐ¾Ð²Ð¾Ð´Ð½Ð¸ÐºÐ¾Ð² Ð²ÑÐ¾ÑÐ¾Ð³Ð¾ ÑÐ¾Ð´Ð° Ð¸ Ð¿ÑÐ¾Ð¸Ð·Ð²ÐµÐ´ÐµÐ½Ñ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ ÑÐ²Ð¾Ð¹ÑÑÐ² Ð´Ð»Ñ ÑÐ¿Ð»Ð¾ÑÐ½ÑÑ Ð¾Ð±ÑÐ°Ð·ÑÐ¾Ð² Ð¸ Ð¾Ð±ÑÐ°Ð·ÑÐ¾Ð² Ñ Ð¾ÑÐ²ÐµÑÑÑÐ¸ÐµÐ¼ (Ð½ÐµÐ¾Ð´Ð½Ð¾ÑÐ²ÑÐ·Ð½ÑÑ).
Ð Ð°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ñ ÑÑÐ°ÑÑÐ¸ Ð¿Ð¾ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½ÑÑ ÑÐ²Ð¾Ð¹ÑÑÐ² ÑÐ²ÐµÑÑÐ¿ÑÐ¾Ð²Ð¾Ð´Ð½Ð¸ÐºÐ¾Ð² Ð¸ Ð¸Ñ ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ. ÐÑÐ¾Ð²ÐµÐ´ÐµÐ½Ñ Ð¸Ð·Ð¼ÐµÑÐµÐ½Ð¸Ñ Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÐ¸ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð³Ð¾ Ð¼Ð¾Ð¼ÐµÐ½ÑÐ° M Ð¾Ñ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾Ð»Ñ H Ð´Ð»Ñ ÑÐ¿Ð»Ð¾ÑÐ½Ð¾Ð³Ð¾ Ð¸ Ð½ÐµÐ¾Ð´Ð½Ð¾ÑÐ²ÑÐ·Ð½Ð¾Ð³Ð¾ ÑÐ²ÐµÑÑÐ¿ÑÐ¾Ð²Ð¾Ð´ÑÑÐµÐ³Ð¾ Ð½Ð¸Ð¾Ð±Ð¸Ñ Ð² Ð¿Ð¾Ð¿ÐµÑÐµÑÐ½Ð¾Ð¼ Ð¿Ð¾Ð»Ðµ. ÐÐ·Ð¼ÐµÑÐµÐ½Ð¸Ñ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ñ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ð²Ð¸Ð±ÑÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð³Ð¾ Ð¼Ð°Ð³Ð½Ð¸ÑÐ¾Ð¼ÐµÑÑÐ° Ð°Ð²ÑÐ¾Ð¼Ð°ÑÐ¸Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð³Ð¾ ÐºÐ¾Ð¼Ð¿Ð»ÐµÐºÑÐ° PPMS. ÐÑÐ¾Ð²ÐµÐ´ÐµÐ½Ñ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÐµÐ¹ Ð´Ð»Ñ ÑÐ¿Ð»Ð¾ÑÐ½ÑÑ Ð¸ Ð¿Ð¾Ð»ÑÑ ÑÐ²ÐµÑÑÐ¿ÑÐ¾Ð²Ð¾Ð´Ð½Ð¸ÐºÐ¾Ð². Ð Ð°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ð¾ ÑÐ°Ð·Ð²Ð¸ÑÐ¸Ðµ ÑÐºÐ°ÑÐºÐ¾Ð² Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾ÑÐ¾ÐºÐ° Ñ Ð¸Ð·Ð¼ÐµÐ½ÐµÐ½Ð¸ÐµÐ¼ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÑ. Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð±ÑÐ»Ð¾ Ð¿ÑÐ¾Ð°Ð½Ð°Ð»Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ð¾ Ð²Ð»Ð¸ÑÐ½Ð¸Ðµ Ð½Ð°Ð»Ð¸ÑÐ¸Ñ Ð¿Ð¾Ð»Ð¾ÑÑÐ¸ Ð² ÑÐ²ÐµÑÑÐ¿ÑÐ¾Ð²Ð¾Ð´Ð½Ð¸ÐºÐ°Ñ Ð½Ð° Ð¿ÑÐ¾ÑÐµÑÑ Ð½Ð°Ð¼Ð°Ð³Ð½Ð¸ÑÐ¸Ð²Ð°Ð½Ð¸Ñ. ÐÑÐ¸Ð²ÐµÐ´ÐµÐ½ ÑÑÐ°Ð²Ð½Ð¸ÑÐµÐ»ÑÐ½ÑÐ¹ Ð°Ð½Ð°Ð»Ð¸Ð· Ð½Ð°Ð¼Ð°Ð³Ð½Ð¸ÑÐµÐ½Ð½Ð¾ÑÑÐ¸ ÑÐ¿Ð»Ð¾ÑÐ½Ð¾Ð³Ð¾ ÑÐ²ÐµÑÑÐ¿ÑÐ¾Ð²Ð¾Ð´Ð½Ð¸ÐºÐ° Ð²ÑÐ¾ÑÐ¾Ð³Ð¾ ÑÐ¾Ð´Ð° Ð¸ Ñ Ð¿Ð¾Ð»Ð¾ÑÑÑÑ.
description: This work is devoted to the study of the magnetic properties of solid and non-simply connected superconductors (with a cavity) for their rational use in technical applications. Specifically, in the work, model superconductors of the second kind were studied and properties were compared for continuous samples and samples with a hole (non-connected).
Articles on the study of the magnetic properties of superconductors and their technical applications are considered. The dependence of the magnetic moment M on the magnetic field H was measured for continuous and non-simply connected superconducting niobium in a transverse field. The measurements were carried out using a vibration magnetometer of the automated PPMS complex. The obtained dependences are studied for solid and hollow superconductors. The development of magnetic flux jumps with temperature is considered. As a result, the influence of the presence of a cavity in superconductors on the magnetization process was analyzed. A comparative analysis of the magnetization of a continuous superconductor of the second kind and with a cavity is given.