Image Details
Caption: Figure 5.
Omnidirectional spectral forms measured from code output for turbulent magnetic fields with varying values of ﹩Z={(\delta {B}_{z}/\delta B)}^{2}﹩. The input minimum and maximum fluctuation wavenumbers ﹩{k}_{{\rm{\min }}}=2\pi /{\lambda }_{{\rm{\max }}}﹩ and ﹩{k}_{{\rm{\max }}}=2\pi /{\lambda }_{{\rm{\min }}}﹩ are indicated by dashed gray lines, and all proton energies under consideration, including the lowest value of 70 MeV, are found to correspond to resonant wavenumbers.
© 2026. The Author(s). Published by the American Astronomical Society.