Energy and momentum conservation in closed plasma systems with resonant and nonresonant wave turbulence

Abstract
Total energy and momentum balance is demonstrated for the resonant and nonresonant waves in closed plasma systems which can evolve due to the resonant interaction of particles and the resonant waves. The complete expression for the turbulent collision integral which takes into account all nonlinear (in the considered approximation) effects as well as effects due to the system’s nonstationarity is derived. Additional contribution to the correlation function of the wave fields in the nonstationary system is calculated. Change of the energy of the nonresonant waves in the time-dependent background medium is discussed.