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On transition of propagation of relativistic particles from the ballistic to the diffusion regime

MPS-Authors
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Prosekin,  Anton
Division Prof. Dr. Werner Hofmann, MPI for Nuclear Physics, Max Planck Society;

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Kelner,  Stanislav R.
Division Prof. Dr. Werner Hofmann, MPI for Nuclear Physics, Max Planck Society;
Research Nuclear University (MEPHI), Kashirskoe shosse 31, 115409 Moscow, Russia;

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Aharonian,  Felix A.
Division Prof. Dr. Werner Hofmann, MPI for Nuclear Physics, Max Planck Society;
Dublin Institute for Advanced Studies, 31 Fitzwilliam Place, Dublin 2, Ireland;

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1506.06594.pdf
(Preprint), 2MB

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Citation

Prosekin, A., Kelner, S. R., & Aharonian, F. A. (2015). On transition of propagation of relativistic particles from the ballistic to the diffusion regime. Physical Review D, 92(8): 083003. doi:10.1103/PhysRevD.92.083003.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0028-FF42-C
Abstract
A stationary distribution function that describes the entire processes of propagation of relativistic particles, including the transition between the ballistic and diffusion regimes, is obtained. The spacial component of the constructed function satisfies to the first two moments of the Boltzmann equation. The angular part of the distribution provides accurate values for the angular moments derived from the Boltzmann equation, and gives a correct expression in the limit of small-angle approximation. Using the derived function, we studied the gamma-ray images produced through the $pp$ interaction of relativistic particles with gas clouds in the proximity of the accelerator. In general, the morphology and the energy spectra of gamma-rays significantly deviate from the "standard" results corresponding to the propagation of relativistic particles strictly in the diffusion regime.