Geodesic
Evolution of the magnetic field in spatially inhomogeneous axion structures
Teoretičeskaâ i matematičeskaâ fizika, Tome 218 (2024) no. 3, pp. 601-618

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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.
Mots-clés : axion star
Keywords: dark matter, asymptotic ergodic Hopf invariant, magnetic hydrodynamics. 
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     author = {M. S. Dvornikov and P. M. Akhmet'ev},
     title = {Evolution of the magnetic field in spatially inhomogeneous axion structures},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {601--618},
     publisher = {mathdoc},
     volume = {218},
     number = {3},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2024_218_3_a9/}
}
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M. S. Dvornikov; P. M. Akhmet'ev. Evolution of the magnetic field in spatially inhomogeneous axion structures. Teoretičeskaâ i matematičeskaâ fizika, Tome 218 (2024) no. 3, pp. 601-618. http://geodesic.mathdoc.fr/item/TMF_2024_218_3_a9/