Gyrokinetics of resonant particles in a collisionless plasma

A consistent drift-kinetic theory is developed for the interaction of resonant particles in a relativistic magnetized plasma with HF (high-frequency) wave packets for arbitrary ratio of the gyroradius to the wavelength. Gyrokinetic equations for the plasma particles are obtained for Čerenkov and cyclotron resonances as well as for those at the harmonics of the gyrofrequency, the half-integer cyclotron resonances and those with the beats of two wave packets. The periodic parts of the distribution function for the relativistic non-uniform and non-stationary plasma are calculated.