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
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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.
@article{TMF_2004_140_1_a6,
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},
pages = {86--99},
publisher = {mathdoc},
volume = {140},
number = {1},
year = {2004},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2004_140_1_a6/}
}
TY - JOUR AU - Yu. A. Kashlev TI - Local Stochastic Channeling Theory: Kinetic Functions in the Case of Interaction Between Fast Particles and Lattice Atoms JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2004 SP - 86 EP - 99 VL - 140 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2004_140_1_a6/ LA - ru ID - TMF_2004_140_1_a6 ER -
%0 Journal Article %A Yu. A. Kashlev %T Local Stochastic Channeling Theory: Kinetic Functions in the Case of Interaction Between Fast Particles and Lattice Atoms %J Teoretičeskaâ i matematičeskaâ fizika %D 2004 %P 86-99 %V 140 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2004_140_1_a6/ %G ru %F TMF_2004_140_1_a6
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/