The Effect of Alternating Magnetic Field on Acceleration of Charged Particles

Abstract

The self-consistent problem of the wave and particle spectrum is formulated and solved for acceleration of particles in a homogeneous magnetic field that varies periodically with time. It follows from the obtained solutions that when account is taken of the synchrotron radiation, the diffusion coefficient Do of ultrarelativistic electrons does not differ from the Fermi value. An expression is obtained for the minimum concentration of the accelerated particles, at which the cyclotron instability ensures the scattering necessary for effective acceleration.