This is a new, completely revised, updated and enlarged edition of the author's Ergebnisse vol. 46: "Spin Glasses: A Challenge for Mathematicians" in two volumes (this is the 2nd volume). In the eighties, a group of theoretical physicists introduced several models for certain disordered systems, called "spin glasses". These models are simple and rather canonical random structures, of considerable interest for several branches of science (statistical physics, neural networks and computer science). The physicists studied them by non-rigorous methods and predicted spectacular behaviors. This book introduces in a rigorous manner this exciting new area to the mathematically minded reader. It requires no knowledge whatsoever of any physics. The present Volume II contains a considerable amount of new material, in particular all the fundamental low-temperature results obtained after the publication of the first edition.
This work presents a comprehensive source of information on germanate glasses. It describes in detail the structures, properties, and glass forming abilities of various germanate systems, then shows how to create new and established varieties of glasses with precision and accuracy. "Germanate Glasses" begins with a review of glass state physics and chemistry, then moves into detailed chapters describing germanium dioxide; GeO2 glasses; binary, ternary, and multicomponent glasses; fluoride-containing germanate glasses; and pseudo-ternary fluoro-germanate systems. These chapters present up-to-date research on each glass type, including x-ray and neutron studies, optical properties, spectroscopic data, and more. Numerous references are included at the end of each chapter. For researchers, designers and fabricators of germanate glass, this book: shows how composition and structure relate to glass forming ability, and sets out to cut design time and eliminate unnecessary experiments by knowing ahead of time what will and will not work.
In the 1980s, a group of theoretical physicists introduced several models for certain disordered systems, called "spin glasses". This rigorous book introduces this exciting new area to the mathematically minded reader. It requires no knowledge whatsoever of any physics, and contains proofs in complete detail of much of what is rigorously known on spin glasses at the time of writing.
Colored Contact Lenses Articles
Colored Contact Lenses Books
Colored Contact Lenses