Consideration of feedback in the acceleration of charged particles by a shock wave

Physics

Scientific paper

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Charged Particles, Cosmic Rays, Feedback Control, Magnetohydrodynamic Stability, Particle Acceleration, Shock Waves, Conservation Laws, Distribution Functions, Fokker-Planck Equation, Integral Equations, Kinetic Theory, Pressure Distribution, Relativistic Particles, Shock Fronts, Spectral Energy Distribution

Scientific paper

A cosmic-ray acceleration model is developed which describes feedback between the cosmic rays and the accelerating shock front. At a sufficiently small thickness of the shock front, all the particles will be accelerated, including low-energy particles, which will lead to an increase in the cosmic-ray energy density. The feedback mechanism controls the energy density of the accelerated particles and the corresponding front thickness, and ultimately leads to the establishment of equilibrium values. The analysis of the feedback mechanism is based on the Fokker-Planck equation, and attention is given to regular acceleration, the particle spectrum in the prefront region, and the spectrum of relativistic particles.

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