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Author : John M. Stewart
Publisher : Unknown
Page : 124 pages
File Size : 55,5 Mb
Release : 1971
Category : Science
ISBN : PSU:000002951348
Author : Carlo Cercignani,Gilberto M. Kremer
Publisher : Birkhäuser
Page : 391 pages
File Size : 42,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783034881654
The aim of this book is to present the theory and applications of the relativistic Boltzmann equation in a self-contained manner, even for those readers who have no familiarity with special and general relativity. Though an attempt is made to present the basic concepts in a complete fashion, the style of presentation is chosen to be appealing to readers who want to understand how kinetic theory is used for explicit calculations. The book will be helpful not only as a textbook for an advanced course on relativistic kinetic theory but also as a reference for physicists, astrophysicists and applied mathematicians who are interested in the theory and applications of the relativistic Boltzmann equation.
Author : Sybren Ruurds Groot,Willem Andries Leeuwen,Christianus Gerardus van Weert,Christianus Gerardus Weert
Publisher : North Holland
Page : 446 pages
File Size : 50,6 Mb
Release : 1980
Category : Science
ISBN : UCAL:B4523397
Author : R.L. Liboff
Publisher : Springer Science & Business Media
Page : 587 pages
File Size : 53,8 Mb
Release : 2006-03-30
Category : Science
ISBN : 9780387217758
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.
Author : Gregory V. Vereshchagin,Alexey G. Aksenov
Publisher : Cambridge University Press
Page : 343 pages
File Size : 54,6 Mb
Release : 2017-02-16
Category : Science
ISBN : 9781107048225
This book presents fundamentals, equations, and methods of solutions of relativistic kinetic theory, with applications in astrophysics and cosmology.
Author : Byung Chan Eu
Publisher : Springer
Page : 603 pages
File Size : 42,6 Mb
Release : 2016-08-02
Category : Science
ISBN : 9783319411477
This book presents the fundamentals of irreversible thermodynamics for nonlinear transport processes in gases and liquids, as well as for generalized hydrodynamics extending the classical hydrodynamics of Navier, Stokes, Fourier, and Fick. Together with its companion volume on relativistic theories, it provides a comprehensive picture of the kinetic theory formulated from the viewpoint of nonequilibrium ensembles in both nonrelativistic and, in Vol. 2, relativistic contexts. Theories of macroscopic irreversible processes must strictly conform to the thermodynamic laws at every step and in all approximations that enter their derivation from the mechanical principles. Upholding this as the inviolable tenet, the author develops theories of irreversible transport processes in fluids (gases or liquids) on the basis of irreversible kinetic equations satisfying the H theorem. They apply regardless of whether the processes are near to or far removed from equilibrium, or whether they are linear or nonlinear with respect to macroscopic fluxes or thermodynamic forces. Both irreversible Boltzmann and generalized Boltzmann equations are used for deriving theories of irreversible transport equations and generalized hydrodynamic equations, which rigorously conform to the tenet. All observables described by the so-formulated theories therefore also strictly obey the tenet.
Author : Byung Chan Eu
Publisher : Springer
Page : 201 pages
File Size : 46,7 Mb
Release : 2016-07-13
Category : Science
ISBN : 9783319411538
This book presents the fundamentals of irreversible thermodynamics for nonlinear transport processes in gases and liquids, as well as for generalized hydrodynamics extending the classical hydrodynamics of Navier, Stokes, Fourier, and Fick. Together with its companion volume on nonrelativistic contexts, it provides a comprehensive picture of the relativistic covariant kinetic theory of gases and relativistic hydrodynamics of gases.Relativistic theories of macroscopic irreversible processes must strictly conform to the thermodynamic laws at every step and in all approximations that enter their derivation from the mechanical principles. Upholding this as the inviolable tenet, the author develops theories of irreversible transport processes in fluids (gases or liquids). They apply regardless of whether the processes are near to or far removed from equilibrium, or whether they are linear or nonlinear with respect to macroscopic fluxes or thermodynamic forces. The irreversible covariant Boltzmann as well as the covariant form of the Boltzmann-Nordheim-Uehling-Uhlenbeck equation is used for deriving theories of irreversible transport equations and generalized hydrodynamic equations for either classical gases or quantum gases. They all conform rigorously to the tenet. All macroscopic observables described by the so-formulated theories therefore are likewise expected to strictly obey the tenet.
Author : Michael Bonitz
Publisher : Springer
Page : 406 pages
File Size : 53,5 Mb
Release : 2015-11-20
Category : Science
ISBN : 9783319241210
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.
Author : George Kyzas,Athanasios Mitropoulos
Publisher : BoD – Books on Demand
Page : 140 pages
File Size : 43,7 Mb
Release : 2018-02-14
Category : Science
ISBN : 9789535138020
The world is governed by motions. The term kinetics partially originated from the Greek word "kinisis," which means motion. How important is motion in our life is easily understood. But, how the kinetic theories have been developed during years? Which are the new kinetic theories and updates in recent years? This question and many others can be answered with this book. Some important areas discussed in this book are the kinetic theory of gases, kinetic theory of liquids and vapors, thermodynamic aspects, transportation phenomena, adsorption-kinetic theories, linear and nonlinear kinetic equations, quantum kinetic theory, kinetic theory of nucleation, plasma kinetic theory, and relativistic kinetic theory.
Author : Paul Romatschke,Ulrike Romatschke
Publisher : Cambridge University Press
Page : 207 pages
File Size : 46,7 Mb
Release : 2019-05-09
Category : Science
ISBN : 9781108483681
Presents a powerful new framework for out-of-equilibrium hydrodynamics, with connections to kinetic theory, AdS/CFT and applications to high-energy particle collisions.
Author : Klaus Morawetz
Publisher : Oxford University Press
Page : 596 pages
File Size : 42,5 Mb
Release : 2018
Category : Science
ISBN : 9780198797241
This book presents an up-to-date formalism of non-equilibrium Green's functions covering different applications ranging from solid state physics, plasma physics, cold atoms in optical lattices up to relativistic transport and heavy ion collisions. Within the Green's function formalism, the basic sets of equations for these diverse systems are similar, and approximations developed in one field can be adapted to another field. The central object is the self-energy which includes all non-trivial aspects of the system dynamics. The focus is therefore on microscopic processes starting from elementary principles for classical gases and the complementary picture of a single quantum particle in a random potential. This provides an intuitive picture of the interaction of a particle with the medium formed by other particles, on which the Green's function is built on.
Author : W. Israel
Publisher : Springer Science & Business Media
Page : 342 pages
File Size : 47,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401026390
The 1972 Banff lectures attempted a systematic exposition of the ideas underlying recent developments in general relativity and its astronomical applications at a level accessible and useful to graduate students having some previous acquaintance with the subject. To our regret, it was not possible to include any printed record of Peebles' beautiful lectures on observational cosmology or of the many stimulating seminars on special topics contributed by the participants. What remains is nevertheless a reason ably self-contained and compact introduction to Einstein's theory in its modern in carnation, and we hope it will be found useful by the many physicists, astronomers, and mathematicians who wish to update and deepen their understanding of the theory. On behalf of the organizing committee, I should like to express appreciation to a number of people whose help was crucial to the success of the enterprise: to Jan van Kranendonk, who initiated the idea of a Banff summer school on general relativity; to him and to David Rowe and Don Betts for inspiration and moral support; to our indefatigable secretaries Olwyn Buckland and Leslie Hughes; and to Garry Nash, Richard Sigal, Tim Spanos, and Gordon Wilson who helped in a variety of ways to keep the wheels running. How much we owe to the splendid cooperative effort of the lecturers will be clear to any reader of the following pages.
Author : Rmi Hakim
Publisher : World Scientific
Page : 567 pages
File Size : 42,8 Mb
Release : 2011
Category : Science
ISBN : 9789814322430
This is one of the very few books focusing on relativistic statistical mechanics, and is written by a leading expert in this special field. It started from the notion of relativistic kinetic theory, half a century ago, exploding into relativistic statistical mechanics. This will interest specialists of various fields, especially the (classical and quantum) plasma physics. However, quantum physics ? to which a major part is devoted ? will be of more interest since, not only it applies to quantum plasma physics, but also to nuclear matter and to strong magnetic field, cosmology, etc. Although the domain of gauge theory is not covered in this book, the topic is not completely forgotten, in particular in the domain of plasma physics. This book is particularly readable for graduate students and a fortiori to young researchers for whom it offers methods and also appropriate schemes to deal with the current problems encountered in astrophysics, in strong magnetic, in nuclear or even in high energy physics.
Author : Noah M MacKay
Publisher : Independently Published
Page : 0 pages
File Size : 40,5 Mb
Release : 2022-12-28
Category : Electronic
ISBN : 9798371626028
What if there is structure amongst chaos? Here we delve into the realm of thermodynamics and statistical mechanics, where the motions of particles in a gas are dictated by probability, entropy, and temperature. From Boltzmann to Liouville, from Maxwell to Einstein and Dirac, statistical mechanics is a topic of physics that kept up with the changing times without losing its significance to the physics of gases. The Theory of Physics, Vol. 5 not only offers a mathematical introduction, but also an overview of the main considerations and cornerstones of thermodynamics and statistical mechanics, both nonrelativistic and relativistic, both classical and quantum. This book, intended for physics students and science enthusiasts alike, delves into the general overview and select applications of statistical mechanics. Select topics include, but are not limited to, the Liouville Theorem, relativistic kinetic theory, white dwarf stars, quark-gluon plasma, and an introduction to non-equilibrium noise. The book also assumes readers are familiar with the first four volumes of The Theory of Physics and mathematical statistics.
Author : Ladislaus Alexander Banyai
Publisher : World Scientific
Page : 283 pages
File Size : 41,7 Mb
Release : 2020-07-30
Category : Science
ISBN : 9789811223822
This book discusses in depth many of the key problems in non-equilibrium physics. Besides the standard subjects (Boltzmann and Master equations, linear response) it includes several new important subjects as well. The origin of macroscopic irreversible (dissipative) behavior receives an extended attention and is illustrated in the framework of solvable classical models of open systems (Chapter 3). The scaling relationship between the kinetic and hydrodynamical levels is described in Chapter 9. The QED of charged non-relativistic particles and its restriction to the states without photons to order 1/c² leading to the current-current magnetic interaction is discussed in some depth in Chapters 14 and 15. Bose-Einstein condensation in real time within the frame of rate equations, as well as soliton-like solutions of the non-linear Gross-Pitaevskii equation are discussed in Chapter 22. The presentation also includes the latest developments — quantum kinetics — related to modern ultrafast spectroscopy (Chapters 23-30).This second edition was improved, restructured, and enriched with new results from the recent papers of the author. Chapter 3 was largely extended and Chapters 14 and 15 are completely new. Chapter 22 has a new Section. Several new useful figures were added throughout the book as well.
