Matematičeskoe modelirovanie, Tome 12 (2000) no. 9, pp. 25-44
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A. V. Lukshin; A. K. Maslov; I. V. Polimatidi; S. N. Smirnov. Stochastic model of ultrarelativistic electrons passage through a thick monocrystals. Matematičeskoe modelirovanie, Tome 12 (2000) no. 9, pp. 25-44. http://geodesic.mathdoc.fr/item/MM_2000_12_9_a2/
@article{MM_2000_12_9_a2,
author = {A. V. Lukshin and A. K. Maslov and I. V. Polimatidi and S. N. Smirnov},
title = {Stochastic model of ultrarelativistic electrons passage through a~thick monocrystals},
journal = {Matemati\v{c}eskoe modelirovanie},
pages = {25--44},
year = {2000},
volume = {12},
number = {9},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MM_2000_12_9_a2/}
}
TY - JOUR
AU - A. V. Lukshin
AU - A. K. Maslov
AU - I. V. Polimatidi
AU - S. N. Smirnov
TI - Stochastic model of ultrarelativistic electrons passage through a thick monocrystals
JO - Matematičeskoe modelirovanie
PY - 2000
SP - 25
EP - 44
VL - 12
IS - 9
UR - http://geodesic.mathdoc.fr/item/MM_2000_12_9_a2/
LA - ru
ID - MM_2000_12_9_a2
ER -
%0 Journal Article
%A A. V. Lukshin
%A A. K. Maslov
%A I. V. Polimatidi
%A S. N. Smirnov
%T Stochastic model of ultrarelativistic electrons passage through a thick monocrystals
%J Matematičeskoe modelirovanie
%D 2000
%P 25-44
%V 12
%N 9
%U http://geodesic.mathdoc.fr/item/MM_2000_12_9_a2/
%G ru
%F MM_2000_12_9_a2
The model of electron dynamics is suggested for the high-energy beam passing through crystal, taking into account axial channeling, multiple scattering and radiation. The model represents homogenous Markov process with diffusion and jump components, described by a stochastic differential equation. Here diffusion corresponds to dissipation and jumps correspond to radiation of $\gamma$-quanta. This description is convenient for numerical calculations not only for passage but for other physical characteristics that are functional of Markov process paths, in particular for characteristics of radiation.
