We find a new family of solutions for force-free magnetic structures in cylindrical geometry. These solutions have radial power-law dependence and are periodic but non-harmonic in the azimuthal direction; they generalize the vacuum $z$ -independent potential fields to current-carrying configurations.

中文翻译：

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圆柱几何中的非线性无力构型

我们为圆柱几何中的无力磁性结构找到了一系列新的解决方案。这些解具有径向幂律依赖性，并且在方位角方向上是周期性的但非谐波；他们概括了真空 $z$ -载流配置的独立势场。