Our volume in the annual review series on this occasion represents a departure from our usual practice in that it serves as a Festschrift for Eugene Wigner. Dr. Wigner has won many honours in his long, wide ranging and distinguished career spanning so many upheavals in civilized life. The editors and the authors, indeed the whole nuclear engineering community, will wish to join in a modest but further acknowledgement of the contributions he has made to nuclear engineering, not least to the morality and professionalism of nuclear engineering in a year that has raised such international concerns over safety. It suffices to make a bald statement of Eugene Wigner's life and times here, for the first article of the volume is a loving appreciation by his long-time colleague, Alvin Weinberg, an evaluation of his contribution historically during and after the Second World War but equally an account of the philosophy which Wigner provided to the burgeoning profession. Eugene Wigner was born 17th November, 1902 in Budapest, Hungary and his early schooling is described by Dr. Weinberg.
Nuclear Reactor Kinetics and Control highlights the application of classical control methods in the frequency space to the dynamic processes of a nuclear reactor. This book contains nine chapters and begins with an introduction to some important mathematical theories related to nuclear engineering, such as the Laplace and Fourier transforms, linear system stability, and the probability theory. The succeeding chapters deal with the frequency space of classical linear design. A chapter describes a stochastic model for the "lumped reactor and presents equations that measure the departure from the mean, as well as representative experiments or applications of the theory to neutron detection. The discussion then shifts to the aspects of reliability and its consequences for safety of nuclear reactors and some techniques for nonlinear studies centered on the use of the state space and its equations in the time domain. The final chapter introduces the modern electric analogue computer and derives the patching or programming rules that can be use to find solutions to problems of interest using the analogous behavior of electric circuits. This chapter also provide examples of intrinsic interest in nuclear engineering showing the programming involved and typical results, including the slower transients of xenon poisoning and fuel burn-up. This book is intended for nuclear engineers, physicists, applied mathematicians, and nuclear engineering undergraduate and postgraduate students.
Our volume in the annual review series on this occasion represents a departure from our usual practice in that it serves as a Festschrift for Eugene Wigner. Dr. Wigner has won many honours in his long, wide ranging and distinguished career spanning so many upheavals in civilized life. The editors and the authors, indeed the whole nuclear engineering community, will wish to join in a modest but further acknowledgement of the contributions he has made to nuclear engineering, not least to the morality and professionalism of nuclear engineering in a year that has raised such international concerns over safety. It suffices to make a bald statement of Eugene Wigner's life and times here, for the first article of the volume is a loving appreciation by his long-time colleague, Alvin Weinberg, an evaluation of his contribution historically during and after the Second World War but equally an account of the philosophy which Wigner provided to the burgeoning profession. Eugene Wigner was born 17th November, 1902 in Budapest, Hungary and his early schooling is described by Dr. Weinberg.
Nuclear Reactor Kinetics and Control highlights the application of classical control methods in the frequency space to the dynamic processes of a nuclear reactor. This book contains nine chapters and begins with an introduction to some important mathematical theories related to nuclear engineering, such as the Laplace and Fourier transforms, linear system stability, and the probability theory. The succeeding chapters deal with the frequency space of classical linear design. A chapter describes a stochastic model for the "lumped reactor and presents equations that measure the departure from the mean, as well as representative experiments or applications of the theory to neutron detection. The discussion then shifts to the aspects of reliability and its consequences for safety of nuclear reactors and some techniques for nonlinear studies centered on the use of the state space and its equations in the time domain. The final chapter introduces the modern electric analogue computer and derives the patching or programming rules that can be use to find solutions to problems of interest using the analogous behavior of electric circuits. This chapter also provide examples of intrinsic interest in nuclear engineering showing the programming involved and typical results, including the slower transients of xenon poisoning and fuel burn-up. This book is intended for nuclear engineers, physicists, applied mathematicians, and nuclear engineering undergraduate and postgraduate students.
John Maynard Keynes is credited with the aphorism that the long-term view in economics must be taken in the light that "in the long-term we are aU dead". It is not in any spirit of gloom however that we invite our readers of the sixteenth volume in the review series, Advances in Nuclear Science and Technology, to take a long view. The two principal roles of nuclear energy lie in the military sphere - not addressed as such in this serie- in the sphere of the centralised production of power, and chiefly electricity generation. The immediate need for this latter has receded in the current era of restricted economies, vanishing growth rates and occasional surpluses of oil on the spot markets of the world. Nuclear energy has its most important role as an insurance against the hard times to come. But will the demand come at a time when the current reactors with their heavy use of natural uranium feed stocks are to be used or in an era where other aspects of the fuel supply must be exploited? The time scale is sufficiently uncertain and the duration of the demand so unascertainable that a sensible forward policy must anticipate that by the time the major demand comes, the reasonably available natural uranium may have been largely consumed in the poor convertors of the current thermal fission programme.
Dur previous volume 14 was devoted to an exposition of the topics of sensitivity analysis and uncertainty theory with its development and application in nuclear reactor physics at the heart of the discussion. In this volume, we return to our customary format as a selection of topics of current interest, authored by those working in the field. These topics range from the theoretical underpinnings of the (linear) Boltzmann transport equation to a resume of our ex pectations in what still may be thought of as twenty-first century technology, the world's fusion reactor program. In the first article of this volume, we have Protopop escu's analysis of the structure of the Boltzmann equation and its solutions for energy and space-dependent problems of an eigenvalue nature. There long has been a curious "folk history" effect in this area~ Wigner and Weinberg could de scribe it as "what was generally known was generally untrue". This account of the Boltzmann equation surely will show that a rigorous basis for our expectations of certain solutions can be well-founded on analysis. Ely Gelbard's review of the methods of determining diffusion-type parameters in complex geometries where simple diffusion theory would be welcome has required just as much rigor to determine how such modeling can be made accurate, although to a more immediate and practical purpose. The two articles can be seen as interesting contrasts, facets of the same underlying problem showing apparently different aspects of the same central core.
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