STATISTICAL-THEORY FOR FAST PARTICLE CHANNELING BASED ON THE LOCAL BOLTZMANN-EQUATION - CORRELATION MATRIX OF INTERACTIONS AND DIFFUSION FUNCTION OF PARTICLES

The kinetic theory of motion for fast particles in a crystal is elabor ated, based on the Bogoliubov chain of equations. A local kinetic equa tion is derived for the one-particle distribution function in conditio ns of particle interaction with thermal lattice oscillations and valen ce electrons. A characteristic of the particle subsystem in the de-cha nneling problem-the diffusion function B(epsilon(perpendicular to)) in the space of transverse energies-is determined, accounting for the ex plicit form of the collision term in the kinetic equation. It is found that the functional relationship described by B(epsilon(perpendicular to)) has different forms in the three variation intervals of epsilon( perpendicular to) that are related to channeling, quasichanneling, and chaotic particle motion. Furthermore, it is shown that the diffusion function has a singularity for the value of the transverse energy equa l to the potential barrier of the channel.