Download or read book An Introduction to the Kinetic Theory of Gases written by James Jeans and published by CUP Archive. This book was released on 1982-10-14 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Kinetic Theory of Gases and Plasmas written by P. P. J. M. Schram and published by Springer Science & Business Media. This book was released on 1991-08-31 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Contemporary Kinetic Theory of Matter written by J. R. Dorfman and published by Cambridge University Press. This book was released on 2021-06-24 with total page 667 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thorough examination of kinetic theory and its successes in understanding and describing irreversible phenomena in physical systems.
Download or read book Kinetic Theory written by S. G. Brush and published by Elsevier. This book was released on 2013-10-22 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kinetic Theory, Volume 3: The Chapman-Enskog Solution of the Transport Equation for Moderately Dense Gases describes the Chapman-Enskog solution of the transport equation for moderately dense gases. Topics covered range from the propagation of sound in monatomic gases to the kinetic theory of simple and composite monatomic gases and generalizations of the theory to higher densities. The application of kinetic theory to the determination of intermolecular forces is also discussed. This volume is divided into two sections and begins with an introduction to the work of Hilbert, Chapman, and Enskog that led to the formulation of the Chapman-Enskog theory. The Chapman-Enskog results are then compared with those of earlier theories with respect to viscosity, heat conduction, diffusion, and thermal diffusion. Subsequent chapters focus on alternatives to the Chapman-Enskog method and some mathematical problems; foundations of the kinetic theory of gases; and kinetic theory of processes in dilute gases and of heat conduction, viscosity, and self-diffusion in compressed gases and liquids. This book should be of interest to graduate students and others undertaking research in kinetic theory.
Download or read book Plasma Kinetics in Atmospheric Gases written by M. Capitelli and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emphasis is placed on the analysis of translational, rotational, vibrational and electronically excited state kinetics, coupled to the electron Boltzmann equation.
Download or read book Gaskinetic Theory written by Tamas I. Gombosi and published by Cambridge University Press. This book was released on 1994-06-30 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Extended Thermodynamics written by Ingo Müller and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physicists firmly believe that the differential equations of nature should be hyperbolic so as to exclude action at a distance; yet the equations of irreversible thermodynamics - those of Navier-Stokes and Fourier - are parabolic. This incompatibility between the expectation of physicists and the classical laws of thermodynamics has prompted the formulation of extended thermodynamics. After describing the motifs and early evolution of this new branch of irreversible thermodynamics, the authors apply the theory to mon-atomic gases, mixtures of gases, relativistic gases, and "gases" of phonons and photons. The discussion brings into perspective the various phenomena called second sound, such as heat propagation, propagation of shear stress and concentration, and the second sound in liquid helium. The formal mathematical structure of extended thermodynamics is exposed and the theory is shown to be fully compatible with the kinetic theory of gases. The study closes with the testing of extended thermodynamics through the exploitation of its predictions for measurements of light scattering and sound propagation.
Download or read book Quantum Kinetic Theory and Applications written by F. T. Vasʹko and published by Springer Science & Business Media. This book was released on 2005-08-16 with total page 802 pages. Available in PDF, EPUB and Kindle. Book excerpt: This lecture-style monograph is addressed to several categories of readers. First, it will be useful for graduate students studying theory. Second, the topics covered should be interesting for postgraduate students of various specializations. Third, the researchers who want to understand the background of modern theoretical issues in more detail can find a number of useful results here. The phenomena covered involve kinetics of electron, phonon, and photon systems in solids. The dynamical properties and interactions of electrons, phonons, and photons are briefly described in Chapter 1. Further, in Chapters 2-8, the authors present the main theoretical methods: linear response theory, various kinetic equations for the quasiparticles under consideration, and diagram technique. The presentation of the key approaches is always accompanied by solutions of concrete problems to illustrate ways to apply the theory. The remaining chapters are devoted to various manifestations of quantum transport in solids. The choice of particular topics is determined by their scientific importance and methodological value. The 267 supplementary problems presented in the ends of chapters are offered to guide the reader in self-study. Focusing attention on the methodological aspects and discussing a great diversity of kinetic phenomena, in keeping with the guiding principle "a method is more important than a result", the authors minimize both detailed discussion of physical mechanisms of the phenomena considered and comparison of theoretical results to experimental data.
Download or read book Transport Phenomena and Kinetic Theory written by Carlo Cercignani and published by Springer Science & Business Media. This book was released on 2007-12-03 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of kinetic equations related to gases, semiconductors, photons, traffic flow, and other systems has developed rapidly in recent years because of its role as a mathematical tool in areas such as engineering, meteorology, biology, chemistry, materials science, nanotechnology, and pharmacy. Written by leading specialists in their respective fields, this book presents an overview of recent developments in the field of mathematical kinetic theory with a focus on modeling complex systems, emphasizing both mathematical properties and their physical meaning. Transport Phenomena and Kinetic Theory is an excellent self-study reference for graduate students, researchers, and practitioners working in pure and applied mathematics, mathematical physics, and engineering. The work may be used in courses or seminars on selected topics in transport phenomena or applications of the Boltzmann equation.
Download or read book The Dynamical Theory of Gases written by James Jeans and published by . This book was released on 1925 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Non Equilibrium Reacting Gas Flows written by Ekaterina Nagnibeda and published by Springer Science & Business Media. This book was released on 2009-07-09 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the present monograph, we develop the kinetic theory of transport phenomena and relaxation processes in the flows of reacting gas mixtures and discuss its applications to strongly non-equilibrium conditions. The main attention is focused on the influence of non-equilibrium kinetics on gas dynamics and transport properties. Closed systems of fluid dynamic equations are derived from the kinetic equations in different approaches. We consider the most accurate approach taking into account the state-to-state kinetics in a flow, as well as simplified multi-temperature and one-temperature models based on quasi-stationary distributions. Within these approaches, we propose the algorithms for the calculation of the transport coefficients and rate coefficients of chemical reactions and energy exchanges in non-equilibrium flows; the developed techniques are based on the fundamental kinetic theory principles. The theory is applied to the modeling of non-equilibrium flows behind strong shock waves, in the boundary layer, and in nozzles. The comparison of the results obtained within the frame of different approaches is presented, the advantages of the new state-to-state kinetic model are discussed, and the limits of validity for simplified models are established. The book can be interesting for scientists and graduate students working on physical gas dynamics, aerothermodynamics, heat and mass transfer, non-equilibrium physical-chemical kinetics, and kinetic theory of gases.
Download or read book Maxwell on Molecules and Gases written by James Clerk Maxwell and published by . This book was released on 1986 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume deals with the evolution of Maxwell's overview of atomic and statistical physics and with his work on the kinetic theory of transport phenomena in gases.
Download or read book Mathematical Modeling of Collective Behavior in Socio Economic and Life Sciences written by Giovanni Naldi and published by Springer Science & Business Media. This book was released on 2010-08-12 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using examples from finance and modern warfare to the flocking of birds and the swarming of bacteria, the collected research in this volume demonstrates the common methodological approaches and tools for modeling and simulating collective behavior. The topics presented point toward new and challenging frontiers of applied mathematics, making the volume a useful reference text for applied mathematicians, physicists, biologists, and economists involved in the modeling of socio-economic systems.
Download or read book Kinetic Theory of Particles and Photons written by Joachim Oxenius and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many laboratory and astrophysical plasmas show deviations from local ther modynamic equilibrium (LTE). This monograph develops non-LTE plasma spectroscopy as a kinetic theory of particles and photons, considering the radiation field as a photon gas whose distribution function (the radiation in tensity) obeys a kinetic equation (the radiative transfer equation), just as the distribution functions of particles obey kinetic equations. Such a unified ap proach provides clear insight into the physics of non-LTE plasmas. Chapter 1 treats the principle of detailed balance, of central importance for understanding the non-LTE effects in plasmas. Chapters 2, 3 deal with kinetic equations of particles and photons, respectively, followed by a chapter on the fluid description of gases with radiative interactions. Chapter 5 is devoted to the H theorem, and closes the more general first part of the book. The last two chapters deal with more specific topics. After briefly discuss ing optically thin plasmas, Chap. 6 treats non-LTE line transfer by two-level atoms, the line profile coefficients of three-level atoms, and non-Maxwellian electron distribution functions. Chapter 7 discusses topics where momentum exchange between matter and radiation is crucial: the approach to thermal equilibrium through interaction with blackbody radiation, radiative forces, and Compton scattering. A number of appendices have been added to make the book self-contained and to treat more special questions. In particular, Appendix B contains an in troductory discussion of atomic line profile coefficients.
Download or read book The Athenaeum written by and published by . This book was released on 1893 with total page 946 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Modeling and Computational Methods for Kinetic Equations written by Pierre Degond and published by Springer Science & Business Media. This book was released on 2004-04-07 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years kinetic theory has developed in many areas of the physical sciences and engineering, and has extended the borders of its traditional fields of application. New applications in traffic flow engineering, granular media modeling, and polymer and phase transition physics have resulted in new numerical algorithms which depart from traditional stochastic Monte--Carlo methods. This monograph is a self-contained presentation of such recently developed aspects of kinetic theory, as well as a comprehensive account of the fundamentals of the theory. Emphasizing modeling techniques and numerical methods, the book provides a unified treatment of kinetic equations not found in more focused theoretical or applied works. The book is divided into two parts. Part I is devoted to the most fundamental kinetic model: the Boltzmann equation of rarefied gas dynamics. Additionally, widely used numerical methods for the discretization of the Boltzmann equation are reviewed: the Monte--Carlo method, spectral methods, and finite-difference methods. Part II considers specific applications: plasma kinetic modeling using the Landau--Fokker--Planck equations, traffic flow modeling, granular media modeling, quantum kinetic modeling, and coagulation-fragmentation problems. Modeling and Computational Methods of Kinetic Equations will be accessible to readers working in different communities where kinetic theory is important: graduate students, researchers and practitioners in mathematical physics, applied mathematics, and various branches of engineering. The work may be used for self-study, as a reference text, or in graduate-level courses in kinetic theory and its applications.
Download or read book Athenaeum written by and published by . This book was released on 1893 with total page 948 pages. Available in PDF, EPUB and Kindle. Book excerpt:
