Abstract

We study the time evolution of magnetic fields in various configurations of spatially inhomogeneous pseudoscalar fields that are a coherent superposition of axions. For such systems, we derive a new induction equation for the magnetic field, which takes this inhomogeneity into account. Based on this equation, we study the evolution of a pair of Chern–Simons waves interacting with a linearly decreasing pseudoscalar field. The nonzero gradient of the pseudoscalar field leads to the mixing of these waves. We then consider the problem in a compact domain in the case where the initial Chern–Simons wave is mirror symmetric. The pseudoscalar field inhomogeneity then leads to an effective change in the \(\alpha\) dynamo parameter. Thus, the influence of a spatially inhomogeneous pseudoscalar field on the magnetic field evolution bears a strong dependence on the system geometry.

中文翻译：

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空间不均匀轴子结构中磁场的演化

摘要

我们研究了空间不均匀赝标量场的各种配置中磁场的时间演化，这些配置是轴子的相干叠加。对于此类系统，我们推导了一个新的磁场感应方程，其中考虑了这种不均匀性。基于这个方程，我们研究了一对陈-西蒙斯波与线性递减赝标量场相互作用的演化。赝标量场的非零梯度导致这些波的混合。然后，我们在初始陈-西蒙斯波镜像对称的情况下考虑紧域中的问题。赝标量场不均匀性会导致发电机参数发生有效变化。因此，空间不均匀赝标量场对磁场演化的影响强烈依赖于系统几何形状。