Neutron moderation theory with thermal motion of the moderator nuclei

  • V. D. Rusov
  • V. A. Tarasov
  • S. A. Chernezhenko
  • A. A. Kakaev
  • V. P. Smolyar
Regular Article - Theoretical Physics

Abstract.

In this paper we present the analytical expression for the neutron scattering law for an isotropic source of neutrons, obtained within the framework of the gas model with the temperature of the moderating medium as a parameter. The obtained scattering law is based on the solution of the general kinematic problem of elastic scattering of neutrons on nuclei in the L-system. Both the neutron and the nucleus possess arbitrary velocities in the L-system. For the new scattering law we obtain the flux densities and neutron moderation spectra as functions of temperature for the reactor fissile medium. The expressions for the moderating neutrons spectra allow reinterpreting the physical nature of the underlying processes in the thermal region.

References

  1. 1.
    A.M. Weinberg, E.P. Wigner, The Physical Theory of Neutron Chain Reactors (The University of Chicago Press, 1958)Google Scholar
  2. 2.
    A. Akhiezer, I. Pomeranchuk, Introduction into the Theory of Neutron Multiplication Systems (Reactors) (IzdAT, Moscow, 2002) in RussianGoogle Scholar
  3. 3.
    A. Galanin, Thermal Reactor Theory (Pergamon Press, New York, 1960)Google Scholar
  4. 4.
    S.M. Feinberg, S. Shikhov, V. Troyanskii, The Theory of Nuclear Reactors, Vol. 1: Elementary Theory of Reactors (Atomizdat, Moscow, 1978) in RussianGoogle Scholar
  5. 5.
    G. Bartolomey, G. Bat’, V. Baibakov, M. Altukhov, Basic Theory and Methods of Nuclear Power Installation Calculations (Energoatomizdat, Moscow, 1989) in RussianGoogle Scholar
  6. 6.
    S. Shirokov, The Nuclear Reactor Physics (Naukova Dumka, Kiev, 1998) in RussianGoogle Scholar
  7. 7.
    W. Stacey, Nuclear Reactor Physics (Wiley-VCH, 2001)Google Scholar
  8. 8.
    V. Vladimirov, Practical Problems of Nuclear Reactor Operation (Energoatomizdat, Moscow, 1986) in RussianGoogle Scholar
  9. 9.
    G. Verkhivker, V. Kravchenko, Bases for Calculation and Design of Nuclear Power Reactors (TEC Publishing, Odessa, 2008) in RussianGoogle Scholar
  10. 10.
    V.D. Rusov, E.P. Linnik, V.A. Tarasov, T.N. Zelentsova, I.V. Sharph, V.N. Vaschenko, S.I. Kosenko, M.E. Beglaryan, S.A. Chernezhenko, P.A. Molchinikolov et al., Energies 4, 1337 (2011)CrossRefGoogle Scholar
  11. 11.
    V. Rusov, V. Tarasov, S. Chernezhenko, Probl. At. Sci. Technol. 97, 123 (2011) in RussianGoogle Scholar
  12. 12.
    V.D. Rusov, V.A. Tarasov, V.M. Vaschenko, E.P. Linnik, T.N. Zelentsova, M.E. Beglaryan, S.A. Chernegenko, S.I. Kosenko, P.A. Molchinikolov, V.P. Smolyar et al., World J. Nucl. Sci. Technol. 3, 9 (2013) arXiv:1209.0648v1 ADSCrossRefGoogle Scholar
  13. 13.
    V. Rusov, D. Litvinov, E. Linnik, V. Vaschenko, T. Zelentsova, M. Beglaryan, V. Tarasov, S. Chernegenko, V. Smolyar, P. Molchinikolov et al., J. Mod. Phys. 4, 528 (2013)CrossRefGoogle Scholar
  14. 14.
    V. Rusov, V. Tarasov, S. Chernegenko, T. Borikov, Blow-up modes in uranium-plutonium fissile medium in technical nuclear reactors and georeactor, in Proceedings of the International Conference ``Problems of physics of high energy densities, XII Khariton Topical Scientific Readings'' (RFNC-VNIIEF Publishing, Sarov, 2010) pp. 94--102, in Russian Google Scholar
  15. 15.
    I. Prigogine, Introduction to Thermodynamics of Irreversible Processes (John Wiley & Sons, New York, 1968)Google Scholar
  16. 16.
    I. Bakhareva, Nonlinear Nonequilibrium Thermodynamics (Saratov University Publishing, 1976) in RussianGoogle Scholar
  17. 17.
    I. Kvasnikov, Thermodynamics and Statistical Physics, Vol. 3: ``Theory of Nonequilibrium Systems'' (Editorial URSS, 2003) in RussianGoogle Scholar
  18. 18.
    V.D. Rusov, V.A. Tarasov, I.V. Sharph, V.N. Vashchenko, E.P. Linnik, T.N. Zelentsova, M.E. Beglaryan, S.A. Chernegenko, S.I. Kosenko, V.P. Smolyar, Sci. Technol. Nucl. Install. 2015, 703069 (2015)CrossRefGoogle Scholar
  19. 19.
    V. Rusov, V. Tarasov, M. Eingorn, S. Chernezhenko, A. Kakaev, V. Vashchenko, M. Beglaryan, Prog. Nucl. Energy 83, 105 (2015)CrossRefGoogle Scholar
  20. 20.
    V.F. Kolesov, Aperiodic Pulse Reactors, Vol. 1 (RFNC-VNIIEF Publishing, Sarov, 2006)Google Scholar
  21. 21.
    A.V. Lukin, Physics of the Pulse Nuclear Reactors (RFNC-VNIITF Publishing, Snezhinsk, 2006) in RussianGoogle Scholar
  22. 22.
    A.V. Arapov, The results of the physical launch of the BR-1M reactor, in Problems of the Physics of High Energy Density, XII Kharitonov Thematic Scientific Readings (RFNC-VNIIEF Publishing, Sarov, 2010) pp. 22--27, in RussianGoogle Scholar
  23. 23.
    V.D. Rusov, V.N. Pavlovich, V.N. Vaschenko, V.A. Tarasov, T.N. Zelentsova, V.N. Bolshakov, D.A. Litvinov, S.I. Kosenko, O.A. Byegunova, J. Geophys. Res. Solid Earth 112, b09203 (2007)ADSCrossRefGoogle Scholar
  24. 24.
    B.G. Levich, V. Myamlin, Y. Vdovin, Theoretical Physics: An Advanced Text, Vol. 3: Quantum Mechanics (John Wiley & Sons, New York, 1973)Google Scholar
  25. 25.
    V. Levich, Theoretical Physics: An Advanced Text, Vol. 2: Statistical Physics, Electromagnetic Processes in Matter (Elsevier Science Publishing Co Inc., US, 1971)Google Scholar
  26. 26.
    N. Fedorov, A Brief Reference Book for Engineer-Physicists (State publishing of literature in the field of nuclear science and technology, Moscow, 1961) in RussianGoogle Scholar
  27. 27.
    Y.M. Shirokov, N. Yudin, Nuclear Physics (Imported Pubn, 1983)Google Scholar
  28. 28.
    M. Chadwick, M. Herman, P. Obložinský, M. Dunn, Y. Danon, A. Kahler, D. Smith, B. Pritychenko, G. Arbanas, R. Arcilla et al., Nucl. Data Sheets 112, 2887 (2011) special Issue on ENDF/B-VII.1 LibraryADSCrossRefGoogle Scholar
  29. 29.
    V. Rusov, V. Tarasov, S. Kosenko, S. Chernezhenko, Probl. At. Sci. Technol. 99, 68 (2012) in RussianGoogle Scholar

Copyright information

© SIF, Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  • V. D. Rusov
    • 1
  • V. A. Tarasov
    • 1
  • S. A. Chernezhenko
    • 1
  • A. A. Kakaev
    • 1
  • V. P. Smolyar
    • 1
  1. 1.Department of Theoretical and Experimental Nuclear PhysicsOdessa National Polytechnic UniversityOdessaUkraine

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