This article is cited in 4 papers

Evolution of the magnetic field in spatially inhomogeneous axion structures

M. S. Dvornikov, P. M. Akhmet'ev

Pushkov Institute of Terrestrial Magnetism, the Ionosphere, and Radio Wave Propagation, Russian Academy of Sciences, Troitsk, Moscow, Russia

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.

Keywords: axion star, dark matter, asymptotic ergodic Hopf invariant, magnetic hydrodynamics.

Received: 21.06.2023
Revised: 20.10.2023

DOI: 10.4213/tmf10574

 English version: Theoretical and Mathematical Physics, 2024, 218:3, 515–529

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