Many-Particle Dynamics and Kinetic Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Many-Particle Dynamics and Kinetic Equations write by C. Cercignani. This book was released on 2012-12-06. Many-Particle Dynamics and Kinetic Equations available in PDF, EPUB and Kindle. As our title suggests, there are two aspects in the subject of this book. The first is the mathematical investigation of the dynamics of infinite systems of in teracting particles and the description of the time evolution of their states. The second is the rigorous derivation of kinetic equations starting from the results of the aforementioned investigation. As is well known, statistical mechanics started in the last century with some papers written by Maxwell and Boltzmann. Although some of their statements seemed statistically obvious, we must prove that they do not contradict what me chanics predicts. In some cases, in particular for equilibrium states, it turns out that mechanics easily provides the required justification. However things are not so easy, if we take a step forward and consider a gas is not in equilibrium, as is, e.g., the case for air around a flying vehicle. Questions of this kind have been asked since the dawn of the kinetic theory of gases, especially when certain results appeared to lead to paradoxical conclu sions. Today this matter is rather well understood and a rigorous kinetic theory is emerging. The importance of these developments stems not only from the need of providing a careful foundation of such a basic physical theory, but also to exhibit a prototype of a mathematical construct central to the theory of non-equilibrium phenomena of macroscopic size.
Kinetic Equations
Kinetic Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Kinetic Equations write by Alexander V. Bobylev. This book was released on 2020-10-12. Kinetic Equations available in PDF, EPUB and Kindle. The series is devoted to the publication of high-level monographs and specialized graduate texts which cover the whole spectrum of applied mathematics, including its numerical aspects. The focus of the series is on the interplay between mathematical and numerical analysis, and also on its applications to mathematical models in the physical and life sciences. The aim of the series is to be an active forum for the dissemination of up-to-date information in the form of authoritative works that will serve the applied mathematics community as the basis for further research. Editorial Board Rémi Abgrall, Universität Zürich, Switzerland José Antonio Carrillo de la Plata, University of Oxford, UK Jean-Michel Coron, Université Pierre et Marie Curie, Paris, France Athanassios S. Fokas, Cambridge University, UK Irene Fonseca, Carnegie Mellon University, Pittsburgh, USA
Modeling and Computational Methods for Kinetic Equations
Modeling and Computational Methods for Kinetic Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Modeling and Computational Methods for Kinetic Equations write by Pierre Degond. This book was released on 2012-12-06. Modeling and Computational Methods for Kinetic Equations available in PDF, EPUB and Kindle. 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. 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 works. Specific applications presented include plasma kinetic models, traffic flow models, granular media models, and coagulation-fragmentation problems. The work may be used for self-study, as a reference text, or in graduate-level courses in kinetic theory and its applications.
Kinetic Boltzmann, Vlasov and Related Equations
Kinetic Boltzmann, Vlasov and Related Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Kinetic Boltzmann, Vlasov and Related Equations write by Alexander Sinitsyn. This book was released on 2011-06-17. Kinetic Boltzmann, Vlasov and Related Equations available in PDF, EPUB and Kindle. Boltzmann and Vlasov equations played a great role in the past and still play an important role in modern natural sciences, technique and even philosophy of science. Classical Boltzmann equation derived in 1872 became a cornerstone for the molecular-kinetic theory, the second law of thermodynamics (increasing entropy) and derivation of the basic hydrodynamic equations. After modifications, the fields and numbers of its applications have increased to include diluted gas, radiation, neutral particles transportation, atmosphere optics and nuclear reactor modelling. Vlasov equation was obtained in 1938 and serves as a basis of plasma physics and describes large-scale processes and galaxies in astronomy, star wind theory.This book provides a comprehensive review of both equations and presents both classical and modern applications. In addition, it discusses several open problems of great importance. - Reviews the whole field from the beginning to today - Includes practical applications - Provides classical and modern (semi-analytical) solutions
Quantum Kinetic Theory
Quantum Kinetic Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Quantum Kinetic Theory write by Michael Bonitz. This book was released on 2015-11-20. Quantum Kinetic Theory available in PDF, EPUB and Kindle. This book presents quantum kinetic theory in a comprehensive way. The focus is on density operator methods and on non-equilibrium Green functions. The theory allows to rigorously treat nonequilibrium dynamics in quantum many-body systems. Of particular interest are ultrafast processes in plasmas, condensed matter and trapped atoms that are stimulated by rapidly developing experiments with short pulse lasers and free electron lasers. To describe these experiments theoretically, the most powerful approach is given by non-Markovian quantum kinetic equations that are discussed in detail, including computational aspects.
