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Monte Carlo estimate of particle fluxes in thin cylindrical detectors

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Abstract

An algorithm is proposed for greatly accelerating Monte Carlo calculations of the indications of neutron flux detectors whose linear dimensions are much greater than their thickness and width and whose volume is extremely small. Detectors of this form are often used for performing measurements inside a core. Activation detectors can also be of this type.

In contrast to existing methods for estimating flux at a point, the proposed algorithms do not require explicit calculation of the conditional probability density for scattering as a function of energy and direction. Only the azimuthal symmetry of scattering and the anisotropy of fission neutrons are used.

A method is proposed for implementing the algorithm that does not require any changes in the physical module of the Monte Carlo program. The question of the variance of the estimates is discussed and a method that guarantees a finite variance is proposed.

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References

  1. J. Spanier and E. Gelbard, Monte Carlo Method and Neutron Transport Problems [Russian translation], Atomizdat, Moscow (1972).

    Google Scholar 

  2. MCNPTM — Version 4B, edited by J. Briesmeister, LA-1265-M (1967).

  3. E. A. Gomin and L. V. Maiorov, “The MCU Monte Carlo code for 3-D depletion calculation (invited),” in: Proceedings of the International Conference on Mathematics and Computation, Reactor Physics, and Environmental Analyses Nuclear Applications, Madrid, Spain, September 27–30, 1999, Vol. 2, pp. 997–1006.

    Google Scholar 

  4. V. P. Zolotukhin and L. V. Maiorov, Monte Carlo Estimate of Reactor Criticality Parameters, Énergoatomizdat, Moscow (1984).

    Google Scholar 

  5. L. V. Maiorov, “Monte Carlo estimates of the bias in the results of calculations of reactors and nuclear fuel repositories,” At. Énerg., 99, No. 4, 243–256 (2005).

    Google Scholar 

  6. D. Bell and S. Glasstone, Theory of Nuclear Reactors, Atomizdat, Moscow (1974).

    Google Scholar 

  7. I. M. Sobol’, Monte Carlo Numerical Methods, Nauka, Moscow (1973).

    Google Scholar 

  8. W. Feller, Introduction to the Theory of Probability [Russian translation], Mir, Moscow (1976), Vol. 2.

    Google Scholar 

  9. L. Schwartz, Analysis [Russian translation], Mir, Msocow (1972), Vol. 1.

    MATH  Google Scholar 

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Authors and Affiliations

  1. Russian Science Center Kurchatov Institute, Russia

    M. I. Gurevich, O. V. Tel’kovskaya & D. A. Shkarovskii

Authors
  1. M. I. Gurevich
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  2. O. V. Tel’kovskaya
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  3. D. A. Shkarovskii
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Translated from Atomnaya Énergiya, Vol. 103, No. 6, pp. 364–369, December, 2007.

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Gurevich, M.I., Tel’kovskaya, O.V. & Shkarovskii, D.A. Monte Carlo estimate of particle fluxes in thin cylindrical detectors. At Energy 103, 957–964 (2007). https://doi.org/10.1007/s10512-007-0153-5

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  • DOI: https://doi.org/10.1007/s10512-007-0153-5

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