磁通弛豫现象的数学模型
Mathematical model of flux relaxation phenomenon
摘要：
对第二类超导体磁通弛豫现象的研究具有重要意义，因为它提供了有关超导体磁通钉扎能力和载流能力的信息。然而，目前还没有一个统一的通量弛豫理论。在这里，我提出了一个通用的数学模型的磁通松弛。在这个模型中，我提出了激活能的级数展开式，并推导出了电流衰减行为的一般公式。根据这些公式，我们可以分析电流衰减行为的实验数据，从而计算出涡旋系统的激活能，而不需要附加任何特殊条件。该结果对于测量$Bi_2Sr_2CaCu_2O_{8+x}$超导体的电流衰减是准确的
英文摘要：
The investigations on the flux relaxation phenomenon of a type-II superconductor are important because they provide the information about the flux pinning ability and current-carrying ability of the superconductor. However, a unified theory of flux relaxation is currently unavailable. Here I present a general mathematical model of the flux relaxation. In this model, I proposed a series expansion to the activation energy and derived a general formula for the current decay behavior. In the light of these formulas, I can analyze the experimental data on the current decay behavior and then calculate the activation energy of a vortex system without subjecting to any special conditions. The results are accurate for the current decay measurements from a $Bi_2Sr_2CaCu_2O_{8+x}$ superconductor
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