Abstract

The properties of long cylindrical superconductors with a diameter comparable with coherence length ξ have been investigated in the framework of the Ginzburg–Landau theory. The equations of the theory have been solved using the general boundary conditions for the order parameter. The use of such boundary conditions makes it possible to take into account the effect of the boundary of a cylinder on its superconducting properties. This is important for small-diameter cylinders, the properties of which significantly depend on the properties of their boundaries.

中文翻译：

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圆柱形超导体的临界温度与边界条件的关系

摘要

在Ginzburg-Landau理论的框架下，研究了直径可与相干长度ξ相媲美的长圆柱超导体的特性。该理论方程已使用阶数参数的一般边界条件进行了求解。通过使用这种边界条件，可以考虑圆柱的边界对其超导特性的影响。这对于小直径圆柱体非常重要，其直径在很大程度上取决于其边界的特性。