The Rate of Fast Particles Leaving a Planar Channeled Regime in a Quasiclassical Approach

Abstract

The rate of particles leaving a planar channeling regime is studied in the framework of nonequilibrium statistical theory. In the quasiclassical case, an analytical expression for the corresponding kinetic coefficient $$R_{N}^{{({\text{dec)}}}}$$ is obtained for high-energy particles interacting with valence electrons. At high temperatures, the expression for particle transition is found to agree reasonably well with the probability of thermal (nonradiating) transition of particles from channeling. The rate coefficient $$R_{N}^{{({\text{dec)}}}}$$ including terms of the lowest order with respect to the particle–electron interaction is inversely proportional to vibrational energy relaxation time τν, while the anharmonicity of particle vibration in a planar channel has an effect on the relaxation process only because of its interference with the electron scattering.