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Topics In Kinetic Theory
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Book Synopsis Topics in Kinetic Theory by : Thierry Passot
Download or read book Topics in Kinetic Theory written by Thierry Passot and published by American Mathematical Soc.. This book was released on 2005 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers a variety of topics related to kinetic theory in neutral gases and magnetized plasmas, with extensions to other systems such as quantum plasmas and granular flows. A comprehensive presentation is given for the Boltzmann equations and other kinetic equations for a neutral gas, together with the derivations of compressible and incompressible fluid dynamical systems, and their rigorous justification. Several contributions are devoted to collisionless magnetized plasmas. Rigorous results concerning the well-posedness of the Vlasov-Maxwell system are presented. Special interest is devoted to asymptotic regimes where the scales of variation of the electromagnetic field are clearly separated from those associated with the gyromotion of the particles. This volume collects lectures given at the Short Course and Workshop on Kinetic Theory organized at the Fields Institute of Mathematical Sciences in Toronto during the Spring of 2004.
Book Synopsis Contemporary Kinetic Theory of Matter by : J. R. Dorfman
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.
Book Synopsis An Introduction to the Kinetic Theory of Gases by : James Jeans
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.
Book Synopsis Kinetic Theory Of Gases, The: An Anthology Of Classic Papers With Historical Commentary by : Stephen G Brush
Download or read book Kinetic Theory Of Gases, The: An Anthology Of Classic Papers With Historical Commentary written by Stephen G Brush and published by World Scientific. This book was released on 2003-07-28 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Kinetic Theory of Gases by : Walter Kauzmann
Download or read book Kinetic Theory of Gases written by Walter Kauzmann and published by Courier Corporation. This book was released on 2013-04-22 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Kinetic Theory of Gases by : Leonard Benedict Loeb
Download or read book The Kinetic Theory of Gases written by Leonard Benedict Loeb and published by . This book was released on 1927 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Topics In Nonlinear Kinetic Theory by : Nicola Bellomo
Download or read book Mathematical Topics In Nonlinear Kinetic Theory written by Nicola Bellomo and published by World Scientific. This book was released on 1989-01-01 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has the aim of dealing with the Nonlinear evolution problems related to the spatially dependent Boltzmann and Enskog equations.
Download or read book Kinetic Theory written by R.L. Liboff and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book goes beyond the scope of other works in the field with its thorough treatment of applications in a wide variety of disciplines. The third edition features a new section on constants of motion and symmetry and a new appendix on the Lorentz-Legendre expansion.
Book Synopsis Mathematical Topics In Nonlinear Kinetic Theory Ii by : Nicola Bellomo
Download or read book Mathematical Topics In Nonlinear Kinetic Theory Ii written by Nicola Bellomo and published by World Scientific Publishing Company. This book was released on 1991-04-30 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the relevant mathematical aspects related to the kinetic equations for moderately dense gases with particular attention to the Enskog equation.
Book Synopsis Kinetic Theory of Gases in Shear Flows by : Vicente Garzó
Download or read book Kinetic Theory of Gases in Shear Flows written by Vicente Garzó and published by Springer Science & Business Media. This book was released on 2003-09-30 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Transport Phenomena and Kinetic Theory by : Carlo Cercignani
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.
Book Synopsis Irreversible Processes by : Stephen G. Brush
Download or read book Irreversible Processes written by Stephen G. Brush and published by Elsevier. This book was released on 2013-10-22 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kinetic Theory, Volume 2: Irreversible Processes deals with the kinetic theory of gases and the irreversible processes they undergo. It includes the two papers by James Clerk Maxwell and Ludwig Boltzmann in which the basic equations for transport processes in gases are formulated, together with the first derivation of Boltzmann's "H-theorem" and a discussion of this theorem, along with the problem of irreversibility. Comprised of 10 chapters, this volume begins with an introduction to the fundamental nature of heat and of gases, along with Boltzmann's work on the kinetic theory of gases and statistical mechanics. Energy dissipation, the statistical nature of the second law of thermodynamics, and the eternal return and the recurrence paradox are also considered. The first chapter examines the dynamical theory of gases and its application to the explanation of various properties of gases; the known chemical relation between the density of a gas and its equivalent weight, commonly called the Law of Equivalent Volumes; and the diffusion of one gas through another. Subsequent chapters focus on the thermal equilibrium of gas molecules; the three-body problem and the equations of dynamics; the mechanical theory of heat; and the relation of a general mechanical theorem to the second law of thermodynamics. A mechanical explanation of irreversible processes is also offered. This book will be useful for students of physics at the advanced undergraduate or beginning postgraduate level.
Book Synopsis Quantum Kinetic Theory and Applications by : F. T. Vasʹko
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.
Book Synopsis Handbook of Mathematical Fluid Dynamics by : S. Friedlander
Download or read book Handbook of Mathematical Fluid Dynamics written by S. Friedlander and published by Gulf Professional Publishing. This book was released on 2003-03-27 with total page 627 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Mathematical Fluid Dynamics is a compendium of essays that provides a survey of the major topics in the subject. Each article traces developments, surveys the results of the past decade, discusses the current state of knowledge and presents major future directions and open problems. Extensive bibliographic material is provided. The book is intended to be useful both to experts in the field and to mathematicians and other scientists who wish to learn about or begin research in mathematical fluid dynamics. The Handbook illuminates an exciting subject that involves rigorous mathematical theory applied to an important physical problem, namely the motion of fluids.
Book Synopsis Introduction to Thermodynamics and Kinetic Theory of Matter by : Anatoly I. Burshtein
Download or read book Introduction to Thermodynamics and Kinetic Theory of Matter written by Anatoly I. Burshtein and published by John Wiley & Sons. This book was released on 2008-07-11 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: Imparts the similarities and differences between ratified and condensed matter, classical and quantum systems as well as real and ideal gases. Presents the quasi-thermodynamic theory of gas-liquid interface and its application for density profile calculation within the van der Waals theory of surface tension. Uses inductive logic to lead readers from observation and facts to personal interpretation and from specific conclusions to general ones.
Book Synopsis University Physics by : Samuel J. Ling
Download or read book University Physics written by Samuel J. Ling and published by . This book was released on 2017-12-19 with total page 818 pages. Available in PDF, EPUB and Kindle. Book excerpt: University Physics is designed for the two- or three-semester calculus-based physics course. The text has been developed to meet the scope and sequence of most university physics courses and provides a foundation for a career in mathematics, science, or engineering. The book provides an important opportunity for students to learn the core concepts of physics and understand how those concepts apply to their lives and to the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Coverage and Scope Our University Physics textbook adheres to the scope and sequence of most two- and three-semester physics courses nationwide. We have worked to make physics interesting and accessible to students while maintaining the mathematical rigor inherent in the subject. With this objective in mind, the content of this textbook has been developed and arranged to provide a logical progression from fundamental to more advanced concepts, building upon what students have already learned and emphasizing connections between topics and between theory and applications. The goal of each section is to enable students not just to recognize concepts, but to work with them in ways that will be useful in later courses and future careers. The organization and pedagogical features were developed and vetted with feedback from science educators dedicated to the project. VOLUME II Unit 1: Thermodynamics Chapter 1: Temperature and Heat Chapter 2: The Kinetic Theory of Gases Chapter 3: The First Law of Thermodynamics Chapter 4: The Second Law of Thermodynamics Unit 2: Electricity and Magnetism Chapter 5: Electric Charges and Fields Chapter 6: Gauss's Law Chapter 7: Electric Potential Chapter 8: Capacitance Chapter 9: Current and Resistance Chapter 10: Direct-Current Circuits Chapter 11: Magnetic Forces and Fields Chapter 12: Sources of Magnetic Fields Chapter 13: Electromagnetic Induction Chapter 14: Inductance Chapter 15: Alternating-Current Circuits Chapter 16: Electromagnetic Waves
Book Synopsis Kinetic Theory and Fluid Dynamics by : Yoshio Sone
Download or read book Kinetic Theory and Fluid Dynamics written by Yoshio Sone and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is intended to provide a comprehensive description of the rela tion between kinetic theory and fluid dynamics for a time-independent behavior of a gas in a general domain. A gas in a steady (or time-independent) state in a general domain is considered, and its asymptotic behavior for small Knudsen numbers is studied on the basis of kinetic theory. Fluid-dynamic-type equations and their associated boundary conditions, together with their Knudsen-layer corrections, describing the asymptotic behavior of the gas for small Knudsen numbers are presented. In addition, various interesting physical phenomena derived from the asymptotic theory are explained. The background of the asymptotic studies is explained in Chapter 1, accord ing to which the fluid-dynamic-type equations that describe the behavior of a gas in the continuum limit are to be studied carefully. Their detailed studies depending on physical situations are treated in the following chapters. What is striking is that the classical gas dynamic system is incomplete to describe the behavior of a gas in the continuum limit (or in the limit that the mean free path of the gas molecules vanishes). Thanks to the asymptotic theory, problems for a slightly rarefied gas can be treated with the same ease as the corresponding classical fluid-dynamic problems. In a rarefied gas, a temperature field is di rectly related to a gas flow, and there are various interesting phenomena which cannot be found in a gas in the continuum limit.
