This book has been written by a group of mathematicians and chemists whose common interest is in the complex dynamics of catalytic reactions. Based on developments in mathematical chemistry, a general theory is described that allows the investigation of the relationships between the kinetic characteristics of complex reactions and their detailed reaction mechanism. Furthermore, a comprehensive analysis is made of some typical mechanism of catalytic reactions, in particular for the oxidation of carbon monoxide on platinum metals. In fact, the book presents three kinetics: (a) detailed, oriented to the elucidation of a detailed reaction mechanism according to its kinetic laws; (b) applied, with the aim of obtaining kinetic relationships for the further design of chemical reactors; and (c) mathematical kinetics whose purpose is the analysis of mathematical models for heterogeneous catalytic reactions taking place under steady- or unsteady-state conditions.
Bifurcation theory and catastrophe theory are two well-known areas within the field of dynamical systems. Both are studies of smooth systems, focusing on properties that seem to be manifestly non-smooth. Bifurcation theory is concerned with the sudden changes that occur in a system when one or more parameters are varied. Examples of such are familiar to students of differential equations, from phase portraits. Understanding the bifurcations of the differential equations that describe real physical systems provides important information about the behavior of the systems. Catastrophe theory became quite famous during the 1970's, mostly because of the sensation caused by the usually less than rigorous applications of its principal ideas to "hot topics", such as the characterization of personalities and the difference between a "genius" and a "maniac". Catastrophe theory is accurately described as singularity theory and its (genuine) applications. The authors of this book, previously published as Volume 5 of the Encyclopaedia, have given a masterly exposition of these two theories, with penetrating insight.
In accordance with the aims of the series "Physical Methods in Organic Chemistry," of which this book forms part, the authors r main aim was a systematic account of the most important methods of using the method of dipole moments in organic chemistry and interpreting its results in practice. Since 1955, when two monographs devoted to the fundamentals and applications of the dipole moment method appeared simultaneously (C. P. Smyth, Dielectric Behavior and Structure, McGraw-Hill, New York; and J. W. Smith, Electric Dipole Moments, Butterworths, London), no generalizing studies of this type have appeared in the Russian and foreign literature. Nevertheless, it is just in this per iod that almost half of all publications on the structure and proper ties of organic compounds by means of the dipole moment method have appeared. During this time, the principles of the method of measure mentand the physical theory of the method have not undergone fundamental changes. Consequently, in giving an account of these matters we considered it sufficient to give a very short introduction to the theory of the method that is not burdened with details of the mathematical derivations and the strict formalism of the theory of dielectrics which are hardly used in the applications of the method that are of interest to the organiC chemist (Chapter I).
The understanding of fields and media using discrete lattice models has been greatly aided by the advent of powerful computers. This has also led to the formulation of new and inspiring problems associated with the analysis of homogeneous discrete networks of interacting dynamical elements. This book investigates the nonlinear dynamics of peculiar discrete media made up of interconnected phase synchronization systems. After an introduction which sets out the nature of the problem, the book goes on to consider dynamic processes in chain and lattice networks, utilising both continuous and discrete synchronization systems as component elements. Computational studies aimed at oscillatory-wave phenomena will make the book valuable for specialists in radio engineering, biological excitable media and other branches of physics and biology as well as specialists in applied mathematics and nonlinear sciences.
Mineral Nutrition of Animals reviews the research on the mineral nutrition of animals. This book explores the biological function and metabolism of minerals in the body, as well as mineral feeding of various species of farm animals. Topics range from water metabolism and mineral composition of feeds to the physiological role of macroelements such as calcium and potassium and microelements such as iron and copper. This text is comprised of 16 chapters; the first of which provides a historical overview of the science of mineral feeding of animals; mineral elements and their function in animal nutrition; and mineral feeding of animals under industrial conditions. The chapters that follow present general information on minerals, describe the link between biogeochemical regions and biochemical ecology, and analyze the factors affecting the mineral composition of animals' bodies. The reader is also introduced to water metabolism and the water requirements of animals; the metabolism of minerals absorbed into the digestive tract; and the kinetics of mineral metabolism in the blood, organs, and tissues. The next section is devoted to mineral feeding of various species of farm animals such as cattle, sheep, pigs, and poultry. This text concludes by looking at methods of controlling the adequacy of farm animals' mineral diet. This book will be of interest to students and practitioners in agriculture and food science.
Introduces advanced mathematical tools for the modeling, simulation, and analysis of chemical non-equilibrium phenomena in combustion and flows, following a detailed explanation of the basics of thermodynamics and chemical kinetics of reactive mixtures. Researchers, practitioners, lecturers, and graduate students will find this work valuable.
Evolutionally optimized biomolecules and their complexes present attractive objects in the production of functionalized nanoobjects. Indeed, nucleic acid-based molecules are primary candidates as building blocks for development of nanoscale systems and devices. Written for chemists, physicists, molecular biologists, and students in related fields, Nanostructures and Nanoconstructions Based on DNA covers specific properties of metallic nanoparticles, and compares their properties with those related to nanoobjects formed by biological molecules. It also discloses details of formation and physicochemical peculiarities of the DNA nanostructures and DNA-based nanoconstructions. Furthermore, the book considers: The peculiarities of two approaches to structural DNA nanotechnology, i.e. to creation of spatial nanoobjects formed by DNA molecules and their complexes: (i) the hybridization approach and (ii) the liquid-crystalline approach The physicochemical properties of DNA nanostructures as well as "liquid" and "rigid" DNA-based nanoconstructions The connection of liquid crystalline phase formation in DNA with possible nanotechnological applications This timely reference covers more DNA physics and molecular biology than any other published title. The authors discuss how nucleic acid molecules and their complexes with chemical and biologically active compounds are an area of increasing significance in the development of various nanoscale systems and devices of practical importance.
This book has been written by a group of mathematicians and chemists whose common interest is in the complex dynamics of catalytic reactions. Based on developments in mathematical chemistry, a general theory is described that allows the investigation of the relationships between the kinetic characteristics of complex reactions and their detailed reaction mechanism. Furthermore, a comprehensive analysis is made of some typical mechanism of catalytic reactions, in particular for the oxidation of carbon monoxide on platinum metals. In fact, the book presents three kinetics: (a) detailed, oriented to the elucidation of a detailed reaction mechanism according to its kinetic laws; (b) applied, with the aim of obtaining kinetic relationships for the further design of chemical reactors; and (c) mathematical kinetics whose purpose is the analysis of mathematical models for heterogeneous catalytic reactions taking place under steady- or unsteady-state conditions.
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