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Derivation of the Dispersion Equation for Alfvén's Magneto-Hydrodynamic Waves from Bailey's Electromagneto-Ionic Theory

Abstract

IN his studies of cosmical electrodynamics, Alfvén1 has demonstrated the existence of magneto-hydrodynamic waves in an ionized gas situated in a magnetic field. They are transverse waves and are propagated only in the direction of the magnetic field. Their velocity is H (4πµ)−½, where H is the magnetic field and µ is the mass density. The mass velocity of the gas is equal to the varying transverse part of the magnetic field divided by √(47πµ).

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References

  1. Alfvén, H., “Cosmical Electrodynamics”, chapter 4 (Oxford University Press, 1950).

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  2. Bailey, V. A., Aust. J. Sci. Res., A, 1, 351 (1948).

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  3. Åström, E., Nature, 165, 1019 (1950).

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  4. Herlofson, N., Nature, 165, 1020 (1950).

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DUNGEY, J. Derivation of the Dispersion Equation for Alfvén's Magneto-Hydrodynamic Waves from Bailey's Electromagneto-Ionic Theory. Nature 167, 1029–1030 (1951). https://doi.org/10.1038/1671029a0

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  • DOI: https://doi.org/10.1038/1671029a0

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