Some comments on the diffusion of particles in stochastic r.f. fields

Abstract

The form of the distribution functionf (P _i, Q_i,t) is determined in terms of the integralW of the diffusion equation and of the initial distribution functionf ₀(P _i, Q_i, t).W gives the probability of the occurrence of a particle in the phase space P_i, Q_k.

The Hamiltonian function of the particle and the distribution functionf obtained in the above way are used for establishing the value of the absorbed energy and the rate of absorption in the case of the homogeneous magnetostatic fields. We discuss the conservative r.f. field-particle system (also in the nonlinear approximation), the effect of the nonlinearity of the diffusion tensor and the meaning of the resonance for the rate of absorption. We discuss also shortly the effect of the external stochastic field on the stability of plasma, already mentioned in earlier literary sources.