Dispersion

This text offers a brief introduction to the dispersion relations as an approach to calculate S-matrix elements, a formalism that allows one to take advantage of the analytical structure of scattering amplitudes following the basic principles of unitarity and causality. First, the case of two-body scattering is considered and then its contribution to other processes through final-state interactions is discussed. For two-body scattering amplitudes, the general expression for a partial-wave amplitude is derived in the approximation where the crossed channel dynamics is neglected. This is taken as the starting point for many interesting nonperturbative applications, both in the light and heavy quark sector. Subsequently crossed channel dynamics is introduced within the equations for calculating the partial-wave amplitudes. Some applications based on methods that treat crossed-channel dynamics perturbatively are discussed too. The last part of this introductory treatment is dedicated to the further impact of scattering amplitudes on a variety of processes through final-state interactions. Several possible approaches are discussed such as the Muskhelishvili-Omnes dispersive integral equations and other closed formulae. These different formalisms are then applied in particular to the study of resonances presenting a number of challenging properties. The book ends with a chapter illustrating the use of dispersion relations in the nuclear medium for the evaluation of the energy density in nuclear matter.

The purpose of this work is to develop the theoretical background of innovative breakthrough physicochemical processes of the dissolution of hazardous and toxic gases and the formation of dispersion systems in the mode of torsion-oriented turbulization. The phenomena in question occur in a chemical reactor installed on the vibration machine’s mobile platform loaded with components of the processed dispersion system. When the external vibrational indignant forces reach certain critical parameters, the subject phenomena occur as the result of simultaneous and joint actions of mechanical resonance and fluid shock impact. Through the explosion-like action, the mixture components fill the reactor’s internal chamber and convert into dispersion systems.

The book describes the results of research dealing with two types of petroleum dispersions: water in petroleum fractions and fuels as well as asphaltenes in crude oil. Such industrial research is aimed at acquiring new knowledge useful for improving processes and products. The main goal of the research carried out was to solve problems of refining technology and the exploitation of petroleum products. Some of the developed solutions have been patented and applied in industry. The problem of solubilizing a small technological amount of water in gasoline and diesel fuels with the aid of surfactant compositions has been successfully resolved. This solution has been used in business practice; it also increases the water tolerance of gasoline with 5% ethanol and allows for the effective use of LPG. The coalescence on fibrous barriers for dewatering fractions from the atmospheric distillation of crude oil allowed for the economic removal of dispersed water and additionally - the removal from diesel distillates of a significant part of the mineral contaminations. A coalescing method of removing sodium lye dispersed in heavy gasoline from the FCC process was successfully used in an industrial plant, replacing the sand filter used in Merox technology. The deep dehydration of the hydrotreated kerosene fraction by evaporating water into an inert gas, a nitrogen blanket, was developed. The product was additionally protected against the aging processes. The influence of pyrolysis oil, a waste product of the pyrolysis process, on the physical structure of crude oil was investigated. The results of the laboratory tests were verified in industrial trials in the AVD plant. Positive test results made it possible to use pyrolysis oil on an industrial scale changing the dispersion structure and properties of crude oil as well as distillation results.

Explaining principles essential for the interpretation of data and understanding the real meaning of the result, this work describes carious methods and techniques used to characterize dispersions and measure their physical and chemical properties. It describes a variety of dispersions containing particles ranging from submicron sizes to aggregates and from hard particles to polymer latices.

Nanocomposite Structures and Dispersions deals with the preparation of gelled, branched and crosslinked nanostructured polymers in the solution free radical polymerization and controlled/living radical polymerization and polymer and composite nanoparticles and nanostructures in disperse systems, the kinetics of direct and inverse disperse polymerizations (microemulsion, miniemulsion, emulsion, dispersion and suspension polymerization), the bottom-up approach building of functionalized nanoparticles, modelling of radical microemulsion polymerization, the characterization of traditional and non-traditional polymer dispersions, the collective properties of nanomaterials and their (bio)applications. This book is designed to bridge that gap and offers several unique features. First, it is written as an introduction to and survey of nanomaterials with a careful balance between basics and advanced topics. Thus, it is suitable for both beginners and experts, including graduate and upper-level undergraduate students. Second, it strives to balance the colloidal aspects of nanomaterials with physical principles. Third, the book highlights nanomaterial based architectures including composite or hybrid conjugates rather than only isolated nanoparticles. A number of ligands have been utilized to biodecorate the polymer and composite nanocarriers. Finally, the book provides an in depth discussion of important examples of reaction mechanisms of bottom-up building of functionalized nanoparticles, or potential applications of nanoarchitectures, ranging from physical to chemical and biological systems. Free radical (controlled) polymerization, branching, crosslinking and gelling Kinetics and mechanism of polymer nanoparticles formation Modelling of radical polymerization in disperse systems Polymer, composite and metal nanoparticles, nanostructures and nanomaterials Smart nanostructures, biodecorated particles, nanocarriers and therapeutics

Volume 2 of the Handbook of Colloid and Interface Science is a survey into the theory of dispersions in a variety of fields, as well as characterization by rheology. It is an ideal reference work for research scientists, universities, and industry practitioners looking for a complete understanding of how colloids and interfaces behave in the areas of materials science, chemical engineering, and colloidal science.

Of late the demands of industry in creating new composite and functional materials with present properties stimulated an increased interest to the investigation of processes which occur in the detonation technologies of complex chemical composition with an additive of disperse particles. The collection includes a series of papers presented at the 3d International Conference "Lavrentyev Readings on Mathematics, Mechanics, and Physics" (Novosibirsk, 1990),was held by the Hydrodynamics Institute under the support of the Presidium of the Siberian Branch of the USSR Academy of Sciences to stimulate the international cooperation of the leading international centers. In the framework of this Conference the Round Table seminar was held by Prof. A. Borissov and Prof. V. Mi trofanov devoted to "Dynamic Structure of Detonation in Gaseous and Dispersed Media". The idea to hold such Round Table was supported by Chairman of Organizing Committee academician Prof. V.Titov from Hydrodynamics Institute, and academician Prof. V. Nakoryakov and also his Institute of Thermophysics. The main ideas discussed at the Round Table were presented in the form of papers which reflected present situation of the problem of dynamic structure of the detonation waves in gaseous and dispersed media. The basic experimental facts concerning of complicated mul ti dimensional non-stationary structure both of the detonation wave and its front surface, generation of the cell structure, the effect of transverse waves, obstacles, channel geometry etc. on the transition from dynamic regime to stationary structure are represented in the fist three papers.