带钻孔的大块高温超导体:如何排列孔使俘获磁通量最大化?
Bulk high-Tc superconductors with drilled holes: how to arrange the holes to maximize the trapped magnetic flux ?
摘要:
在大块高Tc超导体中钻孔增强了氧退火和与冷却液的热交换。然而,钻孔也减少了可以被捕获在样品中的磁通量的量。本文利用Bean模型研究了钻孔样品的磁化强度和电流线分布随钻孔位置的变化。一个单一的孔扰动的临界电流在一个扩展的区域,该区域由不连续线,其中的电流密度的方向突然改变界定。我们证明,被困的磁通量是最大化,如果每个孔的中心被定位在由相邻的孔产生的不连续线之一。对于圆柱形样品,我们构建了一个利用这一原理的极三角形孔图案;在这样的晶格中,捕获场比正方形晶格高约20%,因为正方形晶格中的孔不位于不连续线上。这一结果表明,可以同时增强氧退火,热传递,并最大化捕获场。
英文摘要:
Drilling holes in a bulk high-Tc superconductor enhances the oxygen annealing and the heat exchange with the cooling liquid. However, drilling holes also reduces the amount of magnetic flux that can be trapped in the sample. In this paper, we use the Bean model to study the magnetization and the current line distribution in drilled samples, as a function of the hole positions. A single hole perturbs the critical current flow over an extended region that is bounded by a discontinuity line, where the direction of the current density changes abruptly. We demonstrate that the trapped magnetic flux is maximized if the center of each hole is positioned on one of the discontinuity lines produced by the neighbouring holes. For a cylindrical sample, we construct a polar triangular hole pattern that exploits this principle; in such a lattice, the trapped field is ~20% higher than in a squared lattice, for which the holes do not lie on discontinuity lines. This result indicates that one can simultaneously enhance the oxygen annealing, the heat transfer, and maximize the trapped field.
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