Quasi-linear diffusion driving the synchrotron emission in active galactic nuclei

We study the role of the quasi-linear diffusion (QLD) in producing X-ray emission by means of ultra-relativistic electrons in AGN magnetospheric flows. We examined two regions: (a) an area close to the black hole and (b) the outer magnetosphere. The synchrotron emission has been studied for ultra-relativistic electrons and was shown that the QLD generates the soft and hard X-rays, close to the black hole and on the light cylinder scales respectively. By considering the cyclotron instability, we show that despite the short synchrotron cooling timescales, the cyclotron modes excite transverse and longitudinal-transversal waves. On the other hand, it is demonstrated that the synchrotron reaction force and a force responsible for the conservation of the adiabatic invariant tend to decrease the pitch angles, whereas the diffusion, that pushes back on electrons by means of the aforementioned waves, tends to increase the pitch angles. By examining the quasi-stationary state, we investigate a regime in which these two processes are balanced and a non-vanishing value of pitch angles is created.Comment: 4 pages, 3 figure

On the very high energy (>25GeV) pulsed emission in the Crab pulsar

We have examined the recently detected very high energy (VHE) pulsed radiation from the Crab pulsar. According to the observational evidence, the observed emission (>25GeV) peaks at the same phase with the optical spectrum. Considering the cyclotron instability, we show that the pitch angle becomes non-vanishing leading to the efficient synchrotron mechanism near the light cylinder surface. The corresponding spectral index of the emission equals -1/2. By studying the inverse Compton scattering and the curvature radiation, it is argued that the aforementioned mechanisms do not contribute to the VHE radiation detected by MAGIC.Comment: 11 pages, 1 figur

Development of Kolmogorov spectrum in the pulsar radio emission

It is shown that the scattering of electromagnetic waves by Langmuir ones taking into the account the electric drift motion of particles, is the most intense nonlinear process and should be responsible for the formation of radiation spectrum of radio pulsars. Performed analysis indicates that in the case of existence of inertial interval formation of stationary spectra is possible. Analysis of linear mechanisms of wave generation and silk allows to conclude that only possible stationary solution has spectral index $\alpha =-1.5$. Obtained spectrum is in good agreement with observational data.Comment: 12 pages, Astronomy Rep. (accepted