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超导磁场穿透深度的拟合简化计算

THE SIMPLE NUMERICAL METHOD IN MAGNETIC PENETRATION DEPTH OF SUPERCONDUCTORS

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【作者】 林德华李波吴双应李积春胡炳全钟超荣黎松林杨德智邹平张中伟

【Author】 LIN DE-HUA1 LI BO2 WU SHUANG-YING3 LI JI-CHUN2HU BING-QUAN1 ZHONG CHAO-RONG1 LI SONG-LIN1YANG DE-ZHI1 ZOU PING1 ZHANG ZHONG-WEI1 1JD Duz(USA)-CQU Institute for Superconductivity, Chongqing 400044 2The College of Mathematics and Physics , Chongqing University, Chongqing 400044 3The College of Power Engineering , Chongqing University, Chongqing 400044

【机构】 加底达(美)重庆大学超导研究所重庆大学数理学院重庆大学动力工程学院加底达(美)重庆大学超导研究所 重庆400044

【摘要】 磁场穿透深度λ与温度T的变化关系一直是超导领域广泛关注的焦点之一,根据BCS理论得到的穿透深度公式虽然与实验符合得相当好,但数学形式比较复杂.本文以BCS理论得出的λ与T的关系曲线为基准,通过计算机拟合的方法,将二流体模型和London极限得出的两条曲线拟合为一条新的曲线,使其数学形式相对简单,同时物理内涵又比较清晰,而且新的曲线与根据BCS理论得到的曲线基本吻合,达到了合理简化λ(T)计算的目的.

【Abstract】 The relationship between the magnetic penetration depth ( λ ) field and temperature ( T ) is extensively paid close attention. The penetration depth formula from BCS theory is associated with the experimental results, but its mathematical form is complex. Based on the relationship curve between the penetration depth ( λ ) and temperature ( T ) from BCS theory, a new relationship between the penetration depth ( λ ) and temperature ( T ) is derived from the two fluids model and London limit by means of numerical method, whose mathematical form is relative simple and physical meaning is clear. In the meantime, the curve from this paper is very identical to that from BCS theory.

  • 【文献出处】 低温物理学报 ,Chinese Journal of Low Temperature Physics , 编辑部邮箱 ,2005年02期
  • 【分类号】O511
  • 【下载频次】230
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