This article is cited in 3 papers

Statistical theory of rapid particles channelling based on the local Boltzmann equation. Correlation matrix of interactions and diffusion function of particles

Yu. A. Kashlev^a, N. M. Sadykov<sup>b

a</sup> A. Baikov Institute of Metallurgy and Materials Science, Russian Academy of Sciences
^b Aktau State University

Abstract: Based on Bogoliubov's chain of equations the kinetic theory of rapid particles in crystal is developed. For one-particle distribution function under iteraction of particles with thermal oscillations and valent electrons a local kinetic equation is obtained. With the account of the explicit form of the collision term in the kinetic equation the basic characteristic of a subsystem of particles in the dechannelling problem – diffusion function $B(\varepsilon_\perp)$ in the space of transversal energies is found. It is shown that the functional dependence provided by $B(\varepsilon_\perp)$ is different in three regions of $\varepsilon_\perp$, corresponding to channelling, quasichannelling and chaotic motion of particles. It is also shown that the diffusion function has a break when the transversal energy equals to the top of the potential barrier of a channel.

Received: 28.11.1996

DOI: 10.4213/tmf1024

 English version: Theoretical and Mathematical Physics, 1997, 111:3, 779–790

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