This article is cited in 2 papers

Local Stochastic Channeling Theory: Kinetic Functions in the Case of Interaction Between Fast Particles and Lattice Atoms

Yu. A. Kashlev

A. Baikov Institute of Metallurgy and Materials Science, Russian Academy of Sciences

Abstract: We investigate the motion of high-energy particles in a crystal with regard to their interaction with the thermal vibrations of the lattice atoms using analytic methods in the theory of Markov processes including the local Fokker–Planck equation. We construct a local matrix of random actions, which is used to introduce the main kinetic functions in the traverse-energy space, namely, the function $a(\varepsilon_{\perp})$ of energy losses due to the dynamic friction and the diffusion function $b(\varepsilon_{\perp})$. We show that the singularities of the functions $a(\varepsilon_{\perp})$ and $b(\varepsilon_{\perp})$ are related to the distinction between the contributions to the kinetics from particles moving in three different regimes, namely, in the channeling, quasichanneling, and chaotic motion modes.

Keywords: stochastic theory, Markov process, planar channeling, energy losses, transverse energy.

Received: 03.03.2003
Revised: 10.06.2003

DOI: 10.4213/tmf78

 English version: Theoretical and Mathematical Physics, 2004, 140:1, 965–976

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