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Nonlinear susceptibility study in superconductors based on Bean and Kim - Anderson models.

机译：基于Bean和Kim-Anderson模型的超导体非线性磁化率研究。

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摘要

Many papers have been published about nonlinear susceptibility [1.7-1.22]. In most of these, this phenomenon was discussed quantitatively. The origin of the nonlinear susceptibility of type II superconductors is discussed in the present work. There are various critical state models that predict the response of these superconductors to the applied magnetic field. Different assumptions about the dependence of the critical current on the applied magnetic field produce different critical state models [1.2, 1.23, 1.24]. The Bean model and Kim - Anderson model are the two models considered in the present work. The Bean model states that there could be only three states for critical current: no current, and +/-Jc, where Jc is the critical current density [1.2]. In the Bean model the critical current profile is a discontinuous line. The Kim - Anderson model states that the critical current varies with the position within the sample and is inversely proportional to the field. In the Kim - Anderson model, the critical current profile is a continuous curve [1.7]. In the present work, an extensive numerical study was undertaken for both the slab and cylinder sample geometries. The magnetic field in each case was applied along the vertical axis. The nonlinear AC susceptibility was investigated quantitatively. Nonlinear susceptibility depends strongly on the geometry and symmetry of the system, the applied field, and the critical state model considered.
机译：关于非线性磁化率的许多论文已经发表[1.7-1.22]。在大多数情况下，都对这种现象进行了定量讨论。在本工作中讨论了II型超导体的非线性磁化率的起源。有多种临界状态模型可以预测这些超导体对所施加磁场的响应。关于临界电流对所施加磁场的依赖性的不同假设产生了不同的临界状态模型[1.2、1.23、1.24]。 Bean模型和Kim-Anderson模型是当前工作中考虑的两个模型。 Bean模型指出，临界电流可能只有三种状态：无电流和+/- Jc，其中Jc是临界电流密度[1.2]。在Bean模型中，临界电流曲线是不连续的线。金-安德森模型指出，临界电流随样品中位置的变化而变化，并且与电场成反比。在Kim-Anderson模型中，临界电流曲线为连续曲线[1.7]。在目前的工作中，对平板和圆柱样品的几何形状都进行了广泛的数值研究。沿垂直轴分别施加磁场。定量研究了非线性交流磁化率。非线性敏感性在很大程度上取决于系统的几何形状和对称性，所施加的场以及所考虑的临界状态模型。

著录项

  • 作者

    Anisimova, Lyubov.;

  • 作者单位

    State University of New York at Binghamton.;

  • 授予单位 State University of New York at Binghamton.;
  • 学科 Physics Electricity and Magnetism.
  • 学位 M.S.
  • 年度 2009
  • 页码 159 p.
  • 总页数 159
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 电磁学、电动力学;
  • 关键词

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