Geodesic
Local Stochastic Channeling Theory: Kinetic Functions in the Case of Interaction Between Fast Particles and Lattice Atoms
Teoretičeskaâ i matematičeskaâ fizika, Tome 140 (2004) no. 1, pp. 86-99 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {Yu. A. Kashlev},
     title = {Local {Stochastic} {Channeling} {Theory:} {Kinetic} {Functions} in the {Case} of {Interaction} {Between} {Fast} {Particles} and {Lattice} {Atoms}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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Yu. A. Kashlev. Local Stochastic Channeling Theory: Kinetic Functions in the Case of Interaction Between Fast Particles and Lattice Atoms. Teoretičeskaâ i matematičeskaâ fizika, Tome 140 (2004) no. 1, pp. 86-99. http://geodesic.mathdoc.fr/item/TMF_2004_140_1_a6/

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