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This book covers the physical side of colloidal science from the individual forces acting between particles smaller than a micrometer that are suspended in a liquid, through the resulting equilibrium and dynamic properties. A variety of internal forces both attractive and repulsive act in conjunction with Brownian motion and the balance between them all decides the phase behaviour. On top of this various external fields, such as gravity or electromagnetic fields, diffusion and non-Newtonian rheology produce complex effects, each of which is of important scientific and technological interest. The authors aim to impart a sound, quantitative understanding based on fundamental theory and experiments with well-characterised model systems. This broad grasp of the fundamentals lends insight and helps to develop the intuitive sense needed to isolate essential features of the technological problems and design critical experiments. The main prerequisites for understanding the book are basic fluid mechanics, statistical mechanics and electromagnetism, though self contained reviews of each subject are provided at appropriate points. Some facility with differential equations is also necessary. Exercises are included at the end of each chapter, making the work suitable as a textbook for graduate courses in chemical engineering or applied mathematics. It will also be useful as a reference for individuals in academia or industry undertaking research in colloid science.
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.
A theoretical and empirical examination of wage differentials findsthat traditional theories of competition do not explain why workers with identical skills are paid differently.
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.
Ein Handbuch für die Praxis der Dispersionstechnologie: Weitverstreute Daten aus der Literatur, technische Details und ausgewählte theoretische Grundlagen wurden zu einer übersichtlichen, gut verständlichen Darstellung aufbereitet, die nicht mit Mathematik und komplizierten Zusammenhängen überfrachtet ist. An zahlreichen Beispielen wird erklärt, wie sich verschiedene Dispersionszustände in den Eigenschaften des Produkts widerspiegeln; die Wirkung eines Dispersionsmittels wird auf stoffliche Aspekte, nicht Handelsnamen zurückgeführt. Der Anwender wird in die Lage versetzt, 'seine' Dispersionen gezielt zu verändern, um mechanischen, chemischen und ökologischen Anforderungen der Kunden gerecht zu werden. Mit Herstellerlisten für die technische Ausrüstung! Geschrieben in erster Linie für die industrielle Praxis - weniger für akademische Forschung und Lehre.
Dispersion forces acting on both atoms and bodies play a key role in modern nanotechnology. As demonstrated in this book, macroscopic quantum electrodynamics provides a powerful method for understanding and quantifying dispersion forces in a vast range of realistic scenarios. The basic physical concepts and theoretical steps allow for the derivation of outlined general expressions for dispersion forces. As illustrated by a number of examples, these expressions can easily be used to study forces between objects of various shapes and materials, including effects like material absorption, nontrivial magnetic properties and dynamical forces asssociated with excited systems.
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.
A dispersion is a system of unmixable phases in which one phase is continuous and at least one is finely distributed. Examples are found in many industrial applications, including emulsions, suspensions, foams, and geld. The control of their flow characteristics - rheology - is essential in their preparation, long-term physical stability and application. Filling the need for a practical, up-to-date book connecting the stability/instability of the dispersion to its rheological behavior, this title aids in understanding the principles of rheology and the techniques that can be applied. From the contents: * General Introduction * Interparticle Interactions and Their Combination * Principles of Viscoelastic Behavior * Rheology of Suspensions * Rheology of Emulsions * Rheology of Modifiers, Thickeners, and Gels * Use of Rheological Measurements for Assessment and Prediction of the Long-Term Physical Stability of Formulations (Creaming and Sedimentation)
In this book, a modern unified theory of dispersion forces on atoms and bodies is presented which covers a broad range of different aspects and scenarios. Macroscopic quantum electrodynamics is applied within the context of dispersion forces. In contrast to the normal-mode quantum electrodynamics traditionally used to study dispersion forces, the new approach allows to consider realistic material properties including absorption and is flexible enough to be applied to a broad range of geometries. Thus general properties of dispersion forces like their non-additivity and the relation between microscopic and macroscopic dispersion forces are discussed. It is demonstrated how the general results can be used to obtain dispersion forces on atoms in the presence of bodies of various shapes and materials. In particular, nontrivial magnetic properties of the bodies, bodies of irregular shapes, the role of material absorption, and dynamical forces for excited atoms are discussed. This volume 2 deals especially with quantum electrodynamics, dispersion forces, Casimir forces, asymptotic power laws, quantum friction and universal scaling laws. The book gives both the specialist and those new to the field a thorough overview over recent results in the context of dispersion forces. It provides a toolbox for studying dispersion forces in various contexts.