Here is an unsurpassed resource-important accounts of a variety of dynamic systems topicsrelated to number theory. Twelve distinguished mathematicians present a rare complete analyticsolution of a geodesic quantum problem on a negatively curved surface ... and explicitdetermination of modular function growth near a real point .. . applications of number theoryto dynamical systems and applications of mathematical physics to number theory . ..tributes to the often-unheralded pioneers in the field ... an examination of completely integrableand exactly solvable physical models .. . and much more!Classical and Quantum Models and Arithmetic Problems is certainly a major source of information,advancing the studies of number theorists, algebraists, and mathematical physicistsinterested in complex mathematical properties of quantum field theory, statistical mechanics,and dynamic systems. Moreover, the volume is a superior source of supplementary readingfor graduate-level courses in dynamic systems and application of number theory .
Contains a collection of papers devoted primarily to transcendental number theory and diophantine approximations. This title includes a text of the author's invited address on his work on the theory of transcendental numbers to the 1978 International Congress of Mathematicians in Helsinki.
Electrical distribution and transmission systems are complex combinations of various conductive and insulating materials. When exposed to atmospheric corrosive gases, contaminants, extreme temperatures, vibrations, and other internal and external impacts, these systems deteriorate, and sooner or later their ability to function properly is destroyed. Electrical Power Transmission and Distribution: Aging and Life Extension Techniques offers practical guidance on ways to slow down the aging of these electrical systems, improve their performance, and extend their life. Recognize the Signs of Aging in Equipment—and Learn How to Slow It A reference manual for engineering, maintenance, and training personnel, this book analyzes the factors that cause materials to deteriorate and explains what you can do to reduce the impact of these factors. In one volume, it brings together extensive information previously scattered among manufacturers’ documentation, journal papers, conference proceedings, and general books on plating, lubrication, insulation, and other areas. Shows you how to identify the signs of equipment aging Helps you understand the causes of equipment deterioration Suggests practical techniques for protecting electrical apparatus from deterioration and damage Supplies information that can be used to develop manuals on proper maintenance procedures and choice of materials Provides numerous examples from industry This book combines research and engineering material with maintenance recommendations given in layperson’s terms, making it useful for readers from a range of backgrounds. In particular, it is a valuable resource for personnel responsible for the utilization, operation, and maintenance of electrical transmission and distribution equipment at power plants and industrial facilities.
The revised edition presents, extends, and updates a thorough analysis of the factors that cause and accelerate the aging of conductive and insulating materials of which transmission and distribution electrical apparatus is made. New sections in the second edition summarize the issues of the aging, reliability, and safety of electrical apparatus, as well as supporting equipment in the field of generating renewable energy (solar, wind, tide, and wave power). When exposed to atmospheric corrosive gases and fluids, contaminants, high and low temperatures, vibrations, and other internal and external impacts, these systems deteriorate; eventually the ability of the apparatus to function properly is destroyed. In the modern world of "green energy", the equipment providing clean, electrical energy needs to be properly maintained in order to prevent premature failure. The book’s purpose is to help find the proper ways to slow down the aging of electrical apparatus, improve its performance, and extend the life of power generation, transmission, and distribution equipment.
This book explores a big puzzle in development economics - why Argentina, despite rich natural resources and ample human capital, has endured such poor growth performance. The authors use rigorous economic analysis and an institutional and historical approach to show what went wrong, in a timely contribution to the sustainable development debate.
Lubrication of Electrical and Mechanical Components in Electric Power Equipment presents an analysis of multiple applications of lubricants in the power industry for both electrical and mechanical parts. One of the key features of this book includes a look at the use of lubricants for surfaces of electrical and mechanical parts protection from mechanical wear and friction. Also included are examples of degradation due to fretting, as well as corrosion protection when lubricant is a barrier between metallic surfaces and atmospheric pollutants. This book analyzes the effects of chemical composition and consistency (fluids, greases, solid lubricants) and the durability of lubricants in regard to various types of contacts and mechanical parts material, design and load. Focused on the importance of carefully choosing the lubricants to maintain a stable contact resistance; preserve the physical integrity of the contact surface; and extend the useful life of mechanical parts, such as bearings, the author presents an exhaustive list of lubricants manufacturers and products recommended for use in the electrical industry.
The physics of fracture processes, which includes Fracture mechanics, is crucial for understanding the longevity and reliability of any structure, from fracture initiation to propagation and final catastrophic failure. This textbook introduces the thermodynamics of irreversible processes along with entropy to address the time dependency of fracture. Working from observations of structural failure, the book identifies the principal failure types such as brittle fracture, with considerations of solo crack initiation and crack propagation associated with collective distributed damage. The other type is ductile fracture, when a crack blunts immediately on the application of stress resulting in large deformation. The book then addresses the life of a structure in a specific environment and load condition, using irreversible thermodynamics and the entropy criterion to address cooperative fracture and novel statistical Fracture mechanics to address solo fracture. Applies well-established concepts from mechanics, absent in contemporary Fracture mechanics Uses novel concepts of mechanics, irreversible thermodynamics, and statistical Fracture mechanics The book is ideal for graduate students and design engineers in civil and materials engineering, as well as mechanical and chemical engineering. Students using the book need no more than basic college-level mechanics, mathematics, and statistics knowledge.
This is the first book presenting a coherent theoretical and experimental treatment of the rapidly developing field of macroscopic quantum tunneling of the magnetic moment. The theory is based on the concept of the magnetic instanton and its renormalization by the dissipative environment. The book includes discussions of the tunneling of magnetic moment in small ferromagnetic grains, tunneling of the Ne'el vector in antiferromagnetic grains, quantum nucleation of magnetic domains, and quantum depinning of domain walls. The experimental part collects the majority of recent data that are, or may be, relevant to spin tunneling. Among the topics described are low temperature magnetic relaxation and its interpretation in various systems, experiments on single particles and mesoscopic wires, and resonant spin tunneling in molecular magnets. This study of an important new field in condensed matter physics by two leading contributors to the subject will be of interest to theorists and experimentalists alike.
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