Geodesic
Statistical theory of rapid particles channelling based on the local Boltzmann equation. Correlation matrix of interactions and diffusion function of particles
Teoretičeskaâ i matematičeskaâ fizika, Tome 111 (1997) no. 3, pp. 483-496

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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. 
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     author = {Yu. A. Kashlev and N. M. Sadykov},
     title = {Statistical theory of rapid particles channelling based on the local {Boltzmann} equation. {Correlation} matrix of interactions and diffusion function of particles},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {483--496},
     publisher = {mathdoc},
     volume = {111},
     number = {3},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1997_111_3_a13/}
}
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Yu. A. Kashlev; N. M. Sadykov. Statistical theory of rapid particles channelling based on the local Boltzmann equation. Correlation matrix of interactions and diffusion function of particles. Teoretičeskaâ i matematičeskaâ fizika, Tome 111 (1997) no. 3, pp. 483-496. http://geodesic.mathdoc.fr/item/TMF_1997_111_3_a13/