Convective Oscillations of Cosmic Rays

@misc{zhang2026convective,
  title = {{Convective Oscillations of Cosmic Rays}},
  author = {Yiran Zhang and Siming Liu},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.21863},
  eprint = {2610.21863},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.21863},
}

TY  - UNPB
TI  - Convective Oscillations of Cosmic Rays
AU  - Yiran Zhang
AU  - Siming Liu
PY  - 2026
DA  - 2026/10/15
PB  - arXiv
DO  - 10.48550/arxiv.2610.21863
UR  - https://arxiv.org/abs/2610.21863
AB  - Turbulent motion of the background plasma can introduce fluctuations in the spatial distribution of cosmic rays (CRs). For an ensemble-averaged Gaussian CR distribution with a width $ Λ\left( t,p \right) $ at time $ t $ and momentum $ p $, it is found that $ P_\text{s}\left( t,k,p \right) $ and $ P_\text{d}\left( t,k,p \right) $, the fluctuation power spectra induced by incompressible and acoustic turbulent convection, respectively, have power-law asymptotics in wavenumber $ k $: $ P_\text{s}\left( t,k,p \right) \propto k^4 $ and $ P_\text{d}\left( t,k,p \right) \propto k^2 $ for $ k\ll 1/Λ\left( t,p \right) $; $ P_\text{s}\left( t,k,p \right) \propto k^{γ_\text{s}-4} $ for $ k\gg 1/L_\text{s} $, and $ P_\text{d}\left( t,k,p \right) \propto k^{γ_\text{d}-2} $ for $ k\gg 1/L_\text{d} $, where $ γ_\text{s} $ and $ γ_\text{d} $ are the spectral indices of the velocity power spectra of the incompressible and acoustic turbulence below their outer scales $ L_\text{s} $ and $ L_\text{d} $, respectively. These results have implications for probing interstellar turbulence via future high-resolution images of pulsar gamma-ray halos.
ER  -