Model of individual collisions for description of electron transport in matter
Matematičeskoe modelirovanie, Tome 23 (2011) no. 6, pp. 147-160.

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Distributions of electron characteristics are constructed with use of data of elastic and non-elastic processes of interaction between electrons and matter. The data are taken from National Nuclear Data Center, http://www.nndc.bnl.gov/. These characteristics are used for developing the technique of modeling the electron transport in matter. Developed model does not use well known slow-down approximation and multiple scattering theory as well. The comparison of some moments of the distributions with the NIST data is carried out. The satisfactory fit of some results computed by using the developed model and MCNP results is obtained.
Keywords: electron transport; interaction of electrons with matter; statistical modeling.
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M. E. Zhukovskii; S. V. Podolyako; R. V. Uskov. Model of individual collisions for description of electron transport in matter. Matematičeskoe modelirovanie, Tome 23 (2011) no. 6, pp. 147-160. http://geodesic.mathdoc.fr/item/MM_2011_23_6_a10/

[1] M. E. Riley, C. J. MacCallum, F. Biggs, “Theoretical Electron-Atom Elastic Scattering Cross Sections. Selected Elements, 1 keV to 256 keV”, Atom. Data and Nucl. Data Tables, 15 (1975), 443 | DOI

[2] Stephen M. Seltzer, “An Overview of ETRAN Monte Carlo Methods”, Monte Carlo Transport of Electrons and Photons, ed. Theodore M. Jenkins, Walter R. Nelson, Alessandro Rindi, Plenum Press, New York, 1988, 153

[3] E. Rutherford, “The Scattering of $\alpha$ and $\beta$ Particles by Matter and the Structure of the Atom”, Philos. Mag., 21 (1911), 669–688 | Zbl

[4] N. F. Mott, “The Scattering of Fast Electrons by Atomic Nuclei”, Proc. Roy. Soc., London, A124 (1929), 425–442 | Zbl

[5] G. Moliere, “Theorie der Streuung schneller geladener Teilchen. II: Mehrfach- und Vielfachstreuung”, Z. Naturforsch, 1948, no. 3, 78–96

[6] M. E. Zhukovskii, M. V. Skachkov, “O statisticheskikh metodakh modelirovaniya perenosa elektronov v veschestve”, Vestnik MGTU im. N. E. Baumana, 1(32) (2009), 31-46

[7] L. D. Landau, O poteryakh energii bystrymi chastitsami na ionizatsiyu, Sobr. trudov, v. 1, Nauka, M., 1969

[8] I. M. Sobol, Chislennye metody Monte-Karlo, Nauka, M., 1973 | MR

[9] Stephen M. Seltzer, “Cross Sections for Bremsstrahlung Production and Electron Impact Ionization”, Monte Carlo Transport of Electrons and Photons, eds. Theodore M. Jenkins, Walter R. Nelson, Alessandro Rindi, Plenum Press, New York, 1988, 81

[10] H. A. Bethe, W. Heitler, “On Stopping of Fast Particles and on the Creation of Positive Electrons”, Proc. Roy. Soc., A146 (1934), 83–112, London

[11] O. Blunck, S. Leisegang, “Zum Energieverlust schneller Elektronen in duennen Schichten”, Z. Physik, 128 (1950), 500 | DOI

[12] M. E. Zhukovskii, R. V. Uskov, O primenenii graficheskikh protsessorov videouskoritelei v prikladnykh zadachakh. II: Modelirovanie pogloscheniya gamma-izlucheniya, preprint No 20, IPM im. M. V. Keldysha RAN, M., 2010