Download or read book Lecture Notes on the Mathematical Theory of the Boltzmann Equation written by N. Bellomo and published by World Scientific. This book was released on 1995 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of four lectures on some mathematical aspects related to the nonlinear Boltzmann equation. The following topics are dealt with: derivation of kinetic equations, qualitative analysis of the initial value problem, singular perturbation analysis towards the hydrodynamic limit and computational methods towards the solution of problems in fluid dynamics.
Download or read book Hyperbolic Problems Theory Numerics Applications written by Sylvie Benzoni-Gavage and published by Springer Science & Business Media. This book was released on 2008-01-12 with total page 1117 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers that were presented at HYP2006, the eleventh international Conference on Hyperbolic Problems: Theory, Numerics and Applications. This biennial series of conferences has become one of the most important international events in Applied Mathematics. As computers became more and more powerful, the interplay between theory, modeling, and numerical algorithms gained considerable impact, and the scope of HYP conferences expanded accordingly.
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.
Download or read book Theory of Simple Liquids written by Jean-Pierre Hansen and published by Elsevier. This book was released on 1990-09-24 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a comprehensive and up-to-date treatment of the theory of "simple" liquids. The new second edition has been rearranged and considerably expanded to give a balanced account both of basic theory and of the advances of the past decade. It presents the main ideas of modern liquid state theory in a way that is both pedagogical and self-contained. The book should be accessible to graduate students and research workers, both experimentalists and theorists, who have a good background in elementary mechanics. - Compares theoretical deductions with experimental results - Molecular dynamics - Monte Carlo computations - Covers ionic, metallic, and molecular liquids
Download or read book Entropy Methods for the Boltzmann Equation written by Fraydoun Rezakhanlou and published by Springer. This book was released on 2007-12-22 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: Featuring updated versions of two research courses held at the Centre Émile Borel in Paris in 2001, this book describes the mathematical theory of convergence to equilibrium for the Boltzmann equation and its relation to various problems and fields. It also discusses four conjectures for the kinetic behavior of the hard sphere models and formulates four stochastic variations of this model, also reviewing known results for these.
Download or read book An Introduction to the Boltzmann Equation and Transport Processes in Gases written by Gilberto M. Kremer and published by Springer Science & Business Media. This book was released on 2010-08-18 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers classical kinetic theory of gases, presenting basic principles in a self-contained framework and from a more rigorous approach based on the Boltzmann equation. Uses methods in kinetic theory for determining the transport coefficients of gases.
Download or read book Progress in Fine Particle Plasmas written by Tetsu Mieno and published by BoD – Books on Demand. This book was released on 2020-08-26 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the field of plasma physics, plasmas (including charged fine particles) have been actively studied for more than 40 years, and special features of wave phenomena, self-organizations of the particles, potential formations, fluid-like motions of the particles, generations of fine particles in the plasmas, etc. have been investigated. Here, these plasmas are called “fine particle plasmas”, which are also called “dusty plasmas” and “complex plasmas”. This book intends to provide the reader with the recent progress of studies of fine particle plasmas from the viewpoints of wide and interdisciplinary directions, such as self-organized fine particles, Coulomb crystal formation, behaviors of fine particles, their stability, and syntheses of nano-sized particles in reactive plasmas. Further, the phenomena of dense grain particles and the effects of massive neutrinos in galaxy clustering are included.
Download or read book Strongly Coupled Plasmas written by Gabor Kalman and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Advanced Study Institute on Strongly Coupled Plasmas was held on the campus of the Universite d'Orleans, Orleans-la-Source, France, from July 6th through July 23rd, 1977. 15 invited lecturers and 50 other participants attended the Institute. The present Volume contains the texts of most of the lectures and of some of the numerous seminars presented at the Institute. The topic of strongly coupled coulomb-systems has been an area of vigorous activities over the last few years. Such systems occur in a great variety of physical situations: stellar and planetary interiors, solid and liquid metals, semiconductors, laser compressed plasmas and gas discharges are some of the most important examples. All these systems have the common feature that for one or more of their constituent charged particle liquids the potential energy to kinetic energy ratio is not small, and therefore the application of the traditional plasma perturbation techniques is not feasible. Many ingenious theoretical schemes have been worked out in order to attack both the related equilibrium and nonequilibrium problems, and also various methods have been borrowed from areas where problems not dissimilar to the ones arising in coulomb-systems had already been tackled. At the same time, computer simulations have led to a probably unparalleled accumulation of data on the behavior of an ensemble of classical charged particles. For the first time, the Institute assembled workers from various disciplines who had been involved with diverse aspects of the strongly coupled plasma problem.
Download or read book Thermodynamics and Statistical Physics written by Manuel G. Velarde and published by World Scientific. This book was released on 1995 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Generalized Kinetic Models in Applied Sciences written by Luisa Arlotti and published by World Scientific. This book was released on 2003 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with analytic problems related to some developments and generalizations of the Boltzmann equation toward the modeling and qualitative analysis of large systems that are of interest in applied sciences. These generalizations are documented in the various surveys edited by Bellomo and Pulvirenti with reference to models of granular media, traffic flow, mathematical biology, communication networks, and coagulation models. The first generalization dealt with refers to the averaged Boltzmann equation, which is obtained by suitable averaging of the distribution function of the field particles into the action domain of the test particle. This model is further developed to describe equations with dissipative collisions and a class of models that are of interest in mathematical biology. In this latter case the state of the particles is defined not only by a mechanical variable but also by a biological microscopic state.
Download or read book Dynamics Models and Kinetic Methods for Non equilibrium Many Body Systems written by John Karkheck and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent years have witnessed a resurgence in the kinetic approach to dynamic many-body problems. Modern kinetic theory offers a unifying theoretical framework within which a great variety of seemingly unrelated systems can be explored in a coherent way. Kinetic methods are currently being applied in such areas as the dynamics of colloidal suspensions, granular material flow, electron transport in mesoscopic systems, the calculation of Lyapunov exponents and other properties of classical many-body systems characterised by chaotic behaviour. The present work focuses on Brownian motion, dynamical systems, granular flows, and quantum kinetic theory.
Download or read book Dynamical Systems and Microphysics written by A. Blaquiere and published by Springer. This book was released on 2014-05-04 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Kinetic Theory and Transport Phenomena written by Rodrigo Soto and published by Oxford University Press. This book was released on 2016 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the questions about which humanity has often wondered is the arrow of time. Why does temporal evolution seem irreversible? That is, we often see objects break into pieces, but we never see them reconstitute spontaneously. This observation was first put into scientific terms by the so-called second law of thermodynamics: entropy never decreases. However, this law does not explain the origin of irreversibly; it only quantifies it. Kinetic theory gives a consistent explanation of irreversibility based on a statistical description of the motion of electrons, atoms, and molecules. The concepts of kinetic theory have been applied to innumerable situations including electronics, the production of particles in the early universe, the dynamics of astrophysical plasmas, quantum gases or the motion of small microorganisms in water, with excellent quantitative agreement. This book presents the fundamentals of kinetic theory, considering classical paradigmatic examples as well as modern applications. It covers the most important systems where kinetic theory is applied, explaining their major features. The text is balanced between exploring the fundamental concepts of kinetic theory (irreversibility, transport processes, separation of time scales, conservations, coarse graining, distribution functions, etc.) and the results and predictions of the theory, where the relevant properties of different systems are computed. To request a copy of the Solutions Manual, visit http: //global.oup.com/uk/academic/physics/admin/solutions.
Download or read book From Kinetic Theory to Turbulence Modeling written by Paolo Barbante and published by Springer Nature. This book was released on 2023-04-29 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book collects relevant contributions presented at a conference, organized in honour of Carlo Cercignani, that took place at Politecnico di Milano on May 24–28, 2021. Different research areas characterizing the scientific work of Carlo Cercignani have been considered with a particular focus on: mathematical and numerical methods for kinetic equations; kinetic modelling of gas mixtures and polyatomic gases; applications of the Boltzmann equation to electron transport, social phenomena and epidemic spread; turbulence modelling; the Einstein Classical Program; Dynamical Systems Theory.
Download or read book Granular Gaseous Flows written by Vicente Garzó and published by Springer. This book was released on 2019-03-16 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: Back Cover Text: This book addresses the study of the gaseous state of granular matter in the conditions of rapid flow caused by a violent and sustained excitation. In this regime, grains only touch each other during collisions and hence, kinetic theory is a very useful tool to study granular flows. The main difference with respect to ordinary or molecular fluids is that grains are macroscopic and so, their collisions are inelastic. Given the interest in the effects of collisional dissipation on granular media under rapid flow conditions, the emphasis of this book is on an idealized model (smooth inelastic hard spheres) that isolates this effect from other important properties of granular systems. In this simple model, the inelasticity of collisions is only accounted for by a (positive) constant coefficient of normal restitution. The author of this monograph uses a kinetic theory description (which can be considered as a mesoscopic description between statistical mechanics and hydrodynamics) to study granular flows from a microscopic point of view. In particular, the inelastic version of the Boltzmann and Enskog kinetic equations is the starting point of the analysis. Conventional methods such as Chapman-Enskog expansion, Grad’s moment method and/or kinetic models are generalized to dissipative systems to get the forms of the transport coefficients and hydrodynamics. The knowledge of granular hydrodynamics opens up the possibility of understanding interesting problems such as the spontaneous formation of density clusters and velocity vortices in freely cooling flows and/or the lack of energy equipartition in granular mixtures. Some of the topics covered in this monograph include: Navier-Stokes transport coefficients for granular gases at moderate densities Long-wavelength instability in freely cooling flows Non-Newtonian transport properties in granular shear flows Energy nonequipartition in freely cooling granular mixtures Diffusion in strongly sheared granular mixtures Exact solutions to the Boltzmann equation for inelastic Maxwell models
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: Kinetic theory provides a microscopic description of many observable, macroscopic processes and has a wide range of important applications in physics, astronomy, chemistry, and engineering. This powerful, theoretical framework allows a quantitative treatment of many non-equilibrium phenomena such as transport processes in classical and quantum fluids. This book describes in detail the Boltzmann equation theory, obtained in both traditional and modern ways. Applications and generalizations describing non-equilibrium processes in a variety of systems are also covered, including dilute and moderately dense gases, particles in random media, hard sphere crystals, condensed Bose-Einstein gases, and granular materials. Fluctuation phenomena in non-equilibrium fluids, and related non-analyticities in the hydrodynamic equations are also discussed in some detail. A thorough examination of many topics concerning time dependent phenomena in material systems, this book describes both current knowledge as well as future directions of the field.
Download or read book Modern Mathematical Methods in Transport Theory written by Greenberg and published by Birkhäuser. This book was released on 2013-11-22 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Eleventh International Transport Theory Conference and Symposium in honor of the sixty-fifth birthday of Kenneth Case and the sixtieth birthday of Paul Zweifel was held in Blacksburg, Virginia, during May 22-26, 1989, on the campus of Virginia Polytechnic Institute and State University (Virginia Tech). This volume consists of a selection of the invited papers delivered at the Conference, and represents a cross section of the research currently being carried out in the field of transport theory. The volume is divided into two sections. The Symposium lectures are intended each to summarize an important aspect of transport theory, as well as to present timely new results of the author's research interest. The Conference lectures are contributions of each author on his current research. As has been the custom in this series of conferences, each lecturer was invited to participate by the organizing committee of the Conference: W. Greenberg, Virginia Tech, chairman; V. Boffi, Universita di Firenze; N. Corngold, California Institute of Technology; B. Ganapol, University of Arizona; N. McCormick, University of Washington; P. Nelson, Texas Tech; G. Pomraning, University of California, Los Angeles. The Eleventh International Transport Theory Conference was funded by generous con tributions from Science Applications International Corporation, R. Beyster, president, and from Virginia Polytechnic Institute and State University. Conference participants, and, we believe, researchers in this and related areas, are indebted to these organizations. We would like to thank Lamberto Rondoni, in the graduate program at Virginia Tech, for proofreading manuscripts of all the Italian contributors.
