Abstract
The influence of compressibility of the medium on cosmic ray (CR) fluctuations has been investigated. The CR transport equation has been used to obtain an equation for the second moment of CR particle density (correlation function of the particle density). It is shown that the effects due to the compressibility of the medium has an essential influence on CR fluctuations. The relations between CR power spectra and random velocity field have been determined. For the turbulence which is created by an ensemble of weak sound waves we have obtained the connection between the spectral indices of CR power spectra and the velocity field. It is shown that the spectral indices of CR power spectra and the velocity field of random sound waves coincide.
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Katz, M., Stehlík, M. & Yacobi, N. Cosmic ray fluctuations in compressible turbulent medium. Astrophys Space Sci 225, 117–121 (1995). https://doi.org/10.1007/BF00657849
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DOI: https://doi.org/10.1007/BF00657849