Stochastic model of ultrarelativistic electrons passage through a thick monocrystals
Matematičeskoe modelirovanie, Tome 12 (2000) no. 9, pp. 25-44
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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.
@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
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/