TY  - JOUR
A1  - Vafin, Sergei
A1  - Deka, Pranab Jyoti
A1  - Pohl, Martin
A1  - Bohdan, Artem
T1  - Revisit of Nonlinear Landau Damping for Electrostatic Instability Driven by Blazar-induced Pair Beams
T2  - The astrophysical journal : an international review of spectroscopy and astronomical physics
N2  - We revisit the effect of nonlinear Landau (NL) damping on the electrostatic instability of blazar-induced pair beams, using a realistic pair-beam distribution. We employ a simplified 2D model in k-space to study the evolution of the electric-field spectrum and to calculate the relaxation time of the beam. We demonstrate that the 2D model is an adequate representation of the 3D physics. We find that nonlinear Landau damping, once it operates efficiently, transports essentially the entire wave energy to small wave numbers where wave driving is weak or absent. The relaxation time also strongly depends on the intergalactic medium temperature, T-IGM, and for T-IGM << 10 eV, and in the absence of any other damping mechanism, the relaxation time of the pair beam is longer than the inverse Compton (IC) scattering time. The weak late-time beam energy losses arise from the accumulation of wave energy at small k, that nonlinearly drains the wave energy at the resonant k of the pair-beam instability. Any other dissipation process operating at small k would reduce that wave-energy drain and hence lead to stronger pair-beam energy losses. As an example, collisions reduce the relaxation time by an order of magnitude, although their rate is very small. Other nonlinear processes, such as the modulation instability, could provide additional damping of the nonresonant waves and dramatically reduce the relaxation time of the pair beam. An accurate description of the spectral evolution of the electrostatic waves is crucial for calculating the relaxation time of the pair beam.
KW  - gamma rays: general
KW  - instabilities
KW  - magnetic fields
KW  - relativistic processes
KW  - waves
Y1  - 2019
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/50078
SN  - 0004-637X
SN  - 1538-4357
VL  - 873
IS  - 1
PB  - IOP Publ. Ltd.
CY  - Bristol
ER  -