REFERENCES
- I. PÁZSIT and L. PÁL, Neutron Fluctuations: A Treatise on the Physics of Branching Processes, Elsevier Ltd., Oxford (2008).
- L. PÁL, “On the Theory of Stochastic Processes in Nuclear Reactors,” Il Nuovo Cimento, Suppl. VII, 25 (1958).
- L. PÁL, “Statistical Theory of Neutron Chain Reactions,” Proc. Third Int. Conf. Peaceful Uses of Atomic Energy, Geneva, Vol. 2, p. 218 (1964).
- L. PÁL, “Neutron Noise and Random Trees: Links Between Past and Present,” Prog. Nucl. Energy, 43, 5 (2003).
- G. I. BELL, “On the Stochastic Theory of Neutron Trans-port,” Nucl. Sci. Eng., 21, 390 (1965).
- D. R. HARRIS, “Neutron Fluctuations in a Reactor of Finite Size,” Nucl. Sci. Eng., 21, 369 (1965).
- W. M. STACEY, Space-Time Nuclear Reactor Kinetics, Academic Press, Inc., New York (1970).
- G. I. BELL, “Probability Distribution of Neutrons and Precursors in a Multiplying Assembly,” Ann. Phys. (N.Y.), 21, 243 (1963).
- G. E. HANSEN, “Assembly of Fissionable Material in the Presence of a Weak Neutron Source,” Nucl. Sci. Eng., 8, 709 (1960).
- G. I. BELL, “Stochastic Formulations of Neutron Transport,” Transport Theory Symposium in Applied Mathematics, New York (1967).
- F. NORELLI, V. M. JORIO, and N. PACILIO, “Stochastic Kinetics: Analytical Solutions of Detailed Probability Balance Equations,” Ann. Nucl. Energy, 2, 67 (1975).
- M. W. GREGSON and A. K. PRINJA, “Time Dependent Non-Extinction Probability for Fast Burst Reactors,” Trans. Am. Nucl. Soc., 98, 533 (2008).
- M. M. R. WILLIAMS, “The Extinction Problem in a Super-Critical Sphere of Fissile Material,” Ann. Nucl. Energy, 31, 933 (2004).
- M. M. R. WILLIAMS, “The Survival Probability of Neutrons in Supercritical Convex Bodies Using a Time-Dependent Collision Probability Method,” Ann. Nucl. Energy, 35, 2288 (2008).
- D. E. HANKINS, “Effect of Reactivity Addition Rate and and of Weak Neutron Source on the Fission Yield of Uranium Solutions,” Nucl. Sci. Eng., 26, 110 (1966).
- B. MÉCHITOUA, “Tokaimura Criticality Accident: Point Model Stochastic Neutronic Interpretation,” Trans. Am. Nucl. Soc., 84, 289 (2001).
- G. I. BELL and S. GLASSTONE, Nuclear Reactor Theory, Van Nostrand Reinhold Company, New York (1970).
- A. F. HENRY, Nuclear Reactor Analysis, MIT Press, Cambridge, Massachusetts (1975).
- G. I. BELL and C. E. LEE, “On the Probability of Initiating a Persistent Fission Chain,” LA-2608 (DEL), Los Alamos Scientific Laboratory (1976).
- R. S. BAKER, “Deterministic Methods for Time-Dependent Stochastic Neutron Transport,” Proc. Int. Conf. Mathematics, Computational Methods & Reactor Physics (M&C 2009), Saratoga Springs, New York, May 3-7, 2009, American Nuclear Society (2009) (CD-ROM).
- S. D. RAMSEY, R. A. AXFORD, and G. J. HUTCHENS, “A Semianalytical Analysis of Transient Supercritical Assembly Extinction Probabilities,” Nucl. Sci. Eng., 166, 73 (2010).
- N. E. HOLDEN and M. S. ZUCKER, “A Re-Evaluation of the Average Prompt Neutron Emission Multiplicity (Nubar) Values from Fission of Uranium and Transuranium Nuclides,” BNL-NCS-35513-R, Brookhaven National Laboratory (1986).
- S. D. RAMSEY and G. J. HUTCHENS, “High Fidelity Approximations of Supercritical Assembly Extinction Probabilities,” LA-UR-11-03109, Los Alamos National Laboratory (2011).
- M. ASH, Nuclear Reactor Kinetics, McGraw-Hill, New York (1965).
- D. L. HETRICK, Dynamics of Nuclear Reactors, The University of Chicago Press, Chicago (1971).
- K. O. OTT and R. J. NEUHOLD, Introductory Nuclear Reactor Dynamics, American Nuclear Society, La Grange Park, Illinois (1985).
- T. J. THOMPSON and J. G. BECKERLEY, Eds., The Tech-nology of Nuclear Reactor Safety, Vol. 1, MIT Press, Cambridge, Massachusetts (1964).
- K. FUCHS, “Efficiency for Very Slow Assembly,” LA-596, Los Alamos Scientific Laboratory (1946).
- G. E. HANSEN, “Burst Characteristics Associated with the Slow Assembly of Fissionable Materials,” LA-1441, Los Alamos Scientific Laboratory (1952).
- J. L. HILL, “Advances in the Theory of Persistent Neutron Chains,” PhD Thesis, University of Illinois at Urbana-Champaign (1998).
- J. D. ORNDOFF, “Prompt Neutron Periods of Metal Critical Assemblies,” Nucl. Sci. Eng., 2, 450 (1957).
- M. M. R. WILLIAMS, Personal Communication (2011).
- R. M. WESTFALL and D. R. METCALF, “Exact Solution of the Transport Equation for Critical Cylindrical Configurations,” Trans. Am. Nucl. Soc., 15, 266 (1972).
- H. G. KAPER, A. J. LINDEMAN, and G. K. LEAF, “Benchmark Values for the Slab and Sphere Criticality Problems in One-Group Neutron Transport Theory,” Nucl. Sci. Eng., 54, 94 (1974).
- R. M. WESTFALL, “Benchmark Solutions for the Infinite Critical Cylinder,” Trans. Am. Nucl. Soc., 44, 281 (1983).
- A. SOOD, R. A. FORSTER, and D. K. PARSONS, “Analytical Benchmark Test Set for Criticality Code Verification,” Prog. Nucl. Energy, 42, 55 (2003).
- Handbook of Mathematical Functions, M. ABRAMO-WITZ and A. STEGUN, Eds., Dover Publications, Inc., New York (1965).
- S. D. RAMSEY and G. J. HUTCHENS, “Deterministic and Stochastic Evaluation of Criticality Excursion Power Bursts,” Nucl. Sci. Eng., 168, 265 (2011).
- T. P. McLAUGHLIN, S. P. MONAHAN, N. L. PRU-VOST, V. V. FROLOV, B. G. RYAZANOV, and V. I. SVIRI-DOV, “A Review of Criticality Accidents,” LA-13638, Los Alamos National Laboratory (2000).