Neutron and Neutron-Breeding Medium Interaction Process Description Within the Physical Birth-and-Death Model

Author:

Korbut T. N.1,Bobkova M. V.1,Rudak E. A.1,Zubets I. A.1

Affiliation:

1. Joint Institute for Nuclear and Power Research – Sosny, National Academy of Sciences of Belarus

Abstract

Analytic methods for nuclear reactor physics problems are still of current interest. They allow the physical interpretation to be obtained for studied processes within simple mathematical apparatus. This work proposes a new approach of neutron and neutronbreeding medium interaction process description based on birth-and-death model. This approach was named the physical birth-and-death model. The equations for the main kinetic characteristic are presented and reactivity values are estimated for two subcritical nuclear assemblies: MASURCA and KUCA.

Publisher

Belarusian State University

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference15 articles.

1. T. N. Korbut and E. A. Rudak, IV Kongress fizikov Belarusi, Minsk, April 24–26. Izd-vo “Kovcheg”: sbornic nauchnyh trudov pp. 33–34 (2013).

2. T. N. Korbut, A. V. Kuzmin, and E. A. Rudak, Bulletin of the Russian Academy of Sciences: Physics 79, 461 (2015).

3. A. Bharucha-Reid, Elements of the Theory of Markov Processes and Their Applications (New York: McGraw-Hill, 1960).

4. S. Karlin, A First Course in Stochastic Processes (Howard Taylor, 1975).

5. T. Korbut, E. Rudak, and A. Petrovskiy, Bulletin of the Russian Academy of Sciences: Physics 82 (2018).

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