By V. Protopopescu (auth.), Jeffery Lewins, Martin Becker (eds.)
Dur earlier quantity 14 was once dedicated to an exposition of the subjects of sensitivity research and uncertainty concept with its improvement and alertness in nuclear reactor physics on the middle of the dialogue. during this quantity, we go back to our wide-spread layout as a range of issues of present curiosity, authored via these operating within the box. those subject matters variety from the theoretical underpinnings of the (linear) Boltzmann shipping equation to a resume of our ex pectations in what nonetheless could be regarded as twenty-first century expertise, the world's fusion reactor software. within the first article of this quantity, we have now Protopop escu's research of the constitution of the Boltzmann equation and its recommendations for power and space-dependent difficulties of an eigenvalue nature. There lengthy has been a curious "folk background" impression during this region~ Wigner and Weinberg may well de scribe it as "what was once typically recognized used to be as a rule untrue". This account of the Boltzmann equation without doubt will express rigorous foundation for our expectancies of yes strategies will be well-founded on research. Ely Gelbard's overview of the equipment of deciding upon diffusion-type parameters in complicated geometries the place uncomplicated diffusion idea will be welcome has required simply as a lot rigor to figure out how such modeling might be made exact, even if to a extra quick and useful goal. the 2 articles could be noticeable as attention-grabbing contrasts, points of a similar underlying challenge displaying it seems that assorted points of a similar significant core.
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Extra info for Advances in Nuclear Science and Technology
Transactions of the Arnerican Nuclear Society 1, Page 94, 1958. 58. Sjöstrand, N. , Arkiv för Fysik 15, Page 147, 1959. 59. Andrews, W. , "Meas urements of the Temperature Dependence of Neutron Diffusion Properties in Beryllium Using a Pulsed Source Technique," Uni versi ty of California, LRL Report UCRL-6083, 1960. 60. , Nuclear Science and Engineering 12, Page 433, 1962. 61. Beckurts, K. H. , Neutron Physics, Springer Verlag, New York, 1964. 62. Fullwood, R. , Slowacek, R. E. and Gaerttner, E.
94. , Nuc1ear Science and Engineering 33, Page 65, 1968. 95. , Nuc1ear Science and Engineering~, Page 175, 1969. 96. , Nico1aenko, B. and Thurber, J. , Transactions of the American Nuc1ear Society 12, Pages 251, 656, 657, 1969. 97. , Nico1aenko, B. and Thurber, J. , "Some Comments on Pseudo-mode Solutions of the Initial Va1ue Problem Obtained by Ana1ytic Continuation: Thermal and Fast Systems," in Conference on Transport Theory, B1acksburg, Virginia, 1969. 52 V. PROTOPOPESCU 98. Conn, R. D. thesis, 1968.
G. Sjöstrand for his eonstant interest eoneerning this work, for many pertinent and valuable suggestions, and for the eritieal reading of the last form of the manuseript. I also am indebted to hirn for making available to me prior to publieation, many of his reeent test results. 45 EIGENVALUE PROBLEMS FOR THE BOLTZMANN OPERATOR I thank Mrs. E. B. Dah1 for reading the final version of the paper and making many usefu1 and e1arifying eomments. I aeknow1edge the kind hospita1ity of the Cha1mers Institute of Teehno1ogy where this work was eomp1eted, as we11 as the Institute of Theoretiea1 Physies of Kiev where I stayed when the first draft of this paper was written.
Advances in Nuclear Science and Technology by V. Protopopescu (auth.), Jeffery Lewins, Martin Becker (eds.)