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arXiv · 1806.02938

Formation of the Electronic Spectrum in Relativistic Jets of Gamma-Ray Blazars

Y. G. Zheng·G. B. Long·C. Y. Yang·J. M. Bai
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Abstract

We describe the theory of Fermi-type acceleration, including first-order Fermi acceleration at a parallel shock front and second-order Fermi acceleration in a test particle limit. Including the theory of the turbulent acceleration and the derivation of the general Fokker-Planck equation, we take into account the basic particle-transport equation and the Fokker-Planck equation with spatially homogeneous isotropic distribution. In the cases of some special physical processes, we construct the particle-transport equations, and compile the analytical or semi-analytical solutions in 11 different cases. Even though, traditionally, one of the electron energy distributions for these different cases can be used to reproduce the multi-wavelength emission of a blazar, due to very long integration times of high-energy observations, a time-integrated electron energy distribution should be introduced in approaches to modeling the multi-wavelength spectral energy distribution of blazars, especially in modeling the flaring state.

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Y. G. Zheng, G. B. Long, C. Y. Yang, J. M. Bai. 2018-06-08. Formation of the Electronic Spectrum in Relativistic Jets of Gamma-Ray Blazars. https://doi.org/10.1088/1538-3873%2Faac7c0

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