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An Introduction to the Kinetic Theory of Gases by James Jeans,Sir James Hopwood Jeans Pdf
This book can be described as a student's edition of the author's Dynamical Theory of Gases. It is written, however, with the needs of the student of physics and physical chemistry in mind, and those parts of which the interest was mainly mathematical have been discarded. This does not mean that the book contains no serious mathematical discussion; the discussion in particular of the distribution law is quite detailed; but in the main the mathematics is concerned with the discussion of particular phenomena rather than with the discussion of fundamentals.
The Kinetic Theory of Gases by Leonard B. Loeb Pdf
A pioneering text in its field, this comprehensive study is one of the most valuable texts and references available. The author explores the classical kinetic theory in the first four chapters, with discussions of the mechanical picture of a perfect gas, the mean free path, and the distribution of molecular velocities. Tbhe fifth chapter deals with the more accurate equations of state, or Van der Waals' equation, and later chapters examine viscosity, heat conduction, surface phenomena, and Browninan movements. The text surveys the application of quantum theory to the problem of specific heats and the contributions of kinetic theory to knowledge of electrical and magnetic properties of molecules, concluding with applications of the kinetic theory to the conduction of electricity in gases. 1934 edition.
This monograph and text was designed for first-year students of physical chemistry who require further details of kinetic theory. The treatment focuses chiefly on the molecular basis of important thermodynamic properties of gases, including pressure, temperature, and thermal energy. Includes numerous exercises, many partially worked out, and end-of-chapter problems. 1966 edition.
The Kinetic Theory of Gases by Stephen G Brush Pdf
This book introduces physics students and teachers to the historical development of the kinetic theory of gases, by providing a collection of the most important contributions by Clausius, Maxwell and Boltzmann, with introductory surveys explaining their significance. In addition, extracts from the works of Boyle, Newton, Mayer, Joule, Helmholtz, Kelvin and others show the historical context of ideas about gases, energy and irreversibility. In addition to five thematic essays connecting the classical kinetic theory with 20th century topics such as indeterminism and interatomic forces, there is an extensive international bibliography of historical commentaries on kinetic theory, thermodynamics, etc. published in the past four decades. The book will be useful to historians of science who need primary and secondary sources to be conveniently available for their own research and interpretation, along with the bibliography which makes it easier to learn what other historians have already done on this subject. Contents:The Nature of Gases and of Heat (Boyle, Newton, Bernoulli, Gregory, Mayer, Joule, von Helmholtz, Clausius, Maxwell)Irreversible Processes (Maxwell, Boltzmann, Thomson, Poincaré, Zermelo)Historical Discussions by Stephen G BrushA Guide to Historical Commentaries: Kinetic Theory of Gases, Thermodynamics, and Related Topics Readership: Graduate and research students, teachers, lecturers and historians of physics. Keywords:Kinetic Theory;Gases;Boyle's Law;Gas Laws;Viscosity;Diffusion;Forces between Atoms and Molecules;Interatomic Forces;Ergodic Theorem;Ergodicity;Heat Conduction;Irreversibility;Indeterminism;Thermodynamics;First Law of Thermodynamics;Second Law of Thermodynamics;Third Law of Thermodynamics;Law of Conservation of Energy;Maxwell Velocity Distribution;Boltzmann's H Theorem;Boltzmann's (Transport) Equation;Reversibility Paradox;Recurrence Paradox;Statistical MechanicsReviews:“One of the most important contributions of this volume is the bibliography in Part IV … This is a useful book and should be on the shelves of all kinetic theorists and statistical mechanics.” Journal of Statistical Physics “This book will be useful both for historical research and for students studying the history of physics.”Notes and Records of the Royal Society “It is valuable to have the work in print again, since some of the originals are not always easily accessible and all who have struggled, for example, with Boltzmann's German will welcome accurate translations … The whole book is to be welcomed as an aid to those undertaking research or otherwise interested in exploring these fields.”AMBIX
This introduction to the molecular theory of gases and modern transport theory includes such basic concepts as distribution function, classical theory of specific heats, binary collisions, mean free path and reaction rates, as well as topics relevant to advanced transport theory.
Kinetic Theory of Gases and Plasmas by PPJM Schram Pdf
Kinetic theory is the link between the non--equilibrium statistical mechanics of many particle systems and macroscopic or phenomenological physics. Therefore much attention is paid in this book both to the derivation of kinetic equations with their limitations and generalizations on the one hand, and to the use of kinetic theory for the description of physical phenomena and the calculation of transport coefficients on the other hand. The book is meant for researchers in the field, graduate students and advanced undergraduate students. At the end of each chapter a section of exercises is added not only for the purpose of providing the reader with the opportunity to test his understanding of the theory and his ability to apply it, but also to complete the chapter with relevant additions and examples that otherwise would have overburdened the main text of the preceding sections. The author is indebted to the physicists who taught him Statistical Mechanics, Kinetic Theory, Plasma Physics and Fluid Mechanics. I gratefully acknowledge the fact that much of the inspiration without which this book would not have been possible, originated from what I learned from several outstanding teachers. In particular I want to mention the late Prof. dr. H. C. Brinkman, who directed my first steps in the field of theoretical plasma physics, my thesis advisor Prof. dr. N. G. Van Kampen and Prof. dr. A. N. Kaufman, whose course on Non-Equilibrium Statistical Mechanics in Berkeley I remember with delight.
Kinetic Theory, Volume I: The Nature of Gases and of Heat deals with kinetic theory and the nature of gases and heat. A comprehensive account of the life, works, and historical environment of a number of scientists such as Robert Boyle and Hermann von Helmholtz is presented. This volume is comprised of 11 chapters and begins with an overview of the caloric theory, the principle of conservation of energy, the ""virial theorem,"" and atomic magnitudes. The discussion then turns to the qualitative atomic theory of the ""spring"" of the air, proposed by Robert Boyle; Isaac Newton's repulsion theory; Daniel Bernoulli's thery on the properties and motions of elastic fluids, especially air; and George Gregory's theory on the existence of fire. Subsequent chapters focus on Robert Mayer's theory on the forces of inorganic nature; James Joule's theory on matter, living force, and heat; Hermann von Helmholtz's theory on the conservation of force; and Rudolf Clausius's theory on the nature of heat. James Clerk Maxwell's dynamical theory of gases is also examined. This book is written primarily for students and research workers in physics, as well as for historians of science.
Kinetic Theory of Gases in Shear Flows by Vicente Garzó,A. Santos Pdf
The kinetic theory of gases as we know it dates to the paper of Boltzmann in 1872. The justification and context of this equation has been clarified over the past half century to the extent that it comprises one of the most complete examples of many-body analyses exhibiting the contraction from a microscopic to a mesoscopic description. The primary result is that the Boltzmann equation applies to dilute gases with short ranged interatomic forces, on space and time scales large compared to the corresponding atomic scales. Otherwise, there is no a priori limitation on the state of the system. This means it should be applicable even to systems driven very far from its eqUilibrium state. However, in spite of the physical simplicity of the Boltzmann equation, its mathematical complexity has masked its content except for states near eqUilibrium. While the latter are very important and the Boltzmann equation has been a resounding success in this case, the full potential of the Boltzmann equation to describe more general nonequilibrium states remains unfulfilled. An important exception was a study by Ikenberry and Truesdell in 1956 for a gas of Maxwell molecules undergoing shear flow. They provided a formally exact solution to the moment hierarchy that is valid for arbitrarily large shear rates. It was the first example of a fundamental description of rheology far from eqUilibrium, albeit for an unrealistic system. With rare exceptions, significant progress on nonequilibrium states was made only 20-30 years later.