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首页> 外文期刊>Journal of Experimental and Theoretical Physics >Effective nonlinear susceptibility of a grained superconducting film
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Effective nonlinear susceptibility of a grained superconducting film

机译：粒状超导薄膜的有效非线性磁化率

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摘要

The effective nonlinearity of a thin grained superconducting film is calculated theoretically. It is assumed that the film has the form of a continuous superconducting matrix with superconducting grained inclusions of cylindrical structure with a generatrix perpendicular to the film surface. The current and field distributions are determined to calculate the effective nonlinearity; both the matrix and the grains are considered in the framework of the Ginzburg-Landau theory. The spacing between the grains is assumed to be much larger than their diameter so that the Maxwell-Garnet approximation can be used for calculating fields. The analytic formula derived for effective nonlinear susceptibility is analyzed for various values of physical parameters. It is shown that the effective nonlinearity exceeds the nonlinearity of the matrix and grains by a factor of several units when the grain size is much larger than the magnetic field penetration depth in the substance of the matrix and the conductivity of the grains is lower than that of the matrix.
机译：理论上计算了超导薄膜的有效非线性。假定该膜具有连续的超导基质的形式，该超导基质具有圆柱状结构的超导粒状夹杂物，其母体垂直于膜表面。确定电流和磁场分布以计算有效非线性;在Ginzburg-Landau理论的框架内考虑了基体和晶粒。假定晶粒之间的间距远大于其直径，以便可以将Maxwell-Garnet近似值用于计算场。针对各种物理参数值，分析了为有效非线性磁化率导出的解析公式。结果表明，当晶粒尺寸远大于基体物质中的磁场穿透深度，且晶粒的电导率低于基体和晶粒的非线性时，有效非线性度比基体和晶粒的非线性度高几个单位。矩阵

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