Author : R.L. Liboff
Publisher : Springer Science & Business Media
Page : 587 pages
File Size : 36,36 MB
Release : 2006-03-30
Category : Science
ISBN : 0387217754
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
Publisher : Cambridge University Press
Page : 343 pages
File Size : 24,29 MB
Release : 2017-02-16
Category : Science
ISBN : 1316982564
Relativistic kinetic theory has widespread application in astrophysics and cosmology. The interest has grown in recent years as experimentalists are now able to make reliable measurements on physical systems where relativistic effects are no longer negligible. This ambitious monograph is divided into three parts. It presents the basic ideas and concepts of this theory, equations and methods, including derivation of kinetic equations from the relativistic BBGKY hierarchy and discussion of the relation between kinetic and hydrodynamic levels of description. The second part introduces elements of computational physics with special emphasis on numerical integration of Boltzmann equations and related approaches, as well as multi-component hydrodynamics. The third part presents an overview of applications ranging from covariant theory of plasma response, thermalization of relativistic plasma, comptonization in static and moving media to kinetics of self-gravitating systems, cosmological structure formation and neutrino emission during the gravitational collapse.
Author : Gregory V. Vereshchagin
Publisher : Cambridge University Press
Page : 343 pages
File Size : 47,4 MB
Release : 2017-02-16
Category : Science
ISBN : 1107048222
This book presents fundamentals, equations, and methods of solutions of relativistic kinetic theory, with applications in astrophysics and cosmology.
Author : OpenStax
Publisher :
Page : 622 pages
File Size : 12,66 MB
Release : 2016-11-04
Category : Science
ISBN : 9781680920451
University Physics is a three-volume collection that meets the scope and sequence requirements for two- and three-semester calculus-based physics courses. Volume 1 covers mechanics, sound, oscillations, and waves. Volume 2 covers thermodynamics, electricity and magnetism, and Volume 3 covers optics and modern physics. This textbook emphasizes connections between between theory and application, making physics concepts interesting and accessible to students while maintaining the mathematical rigor inherent in the subject. Frequent, strong examples focus on how to approach a problem, how to work with the equations, and how to check and generalize the result. The text and images in this textbook are grayscale.
Author : Steve Adams
Publisher : CRC Press
Page : 297 pages
File Size : 45,26 MB
Release : 2017-06-30
Category : Science
ISBN : 1135739714
Provides the essential principles and results of special relativity as required by undergraduates. The text uses a geometric interpretation of space-time so that a general theory is seen as a natural extension of the special theory. Although most results are derived from first principles, complex and distracting mathematics is avoided and all mathe
Author : Jeremy Bernstein
Publisher : Cambridge University Press
Page : 160 pages
File Size : 23,19 MB
Release : 2004-08-19
Category : Science
ISBN : 9780521607469
Kinetic Theory in the Expanding Universe is a self-contained exposition of the applications of kinetic theory to basic problems in modern cosmology, such as the role of stable and unstable massive neutrinos and the theory of cosmological helium production. There has been rapid development of the theory of the origin and evolution of the universe in recent years, stimulated, in large part, by new observations and theories in astrophysics and particle physics. Bernstein takes a different approach and studies what can be concluded from the application of kinetic theory, and in particular the Boltzmann equation and its solutions, to cosmological problems. He begins with a brief survey of the necessary relativity, cosmodynamics, and kinetic theory, before going on to discuss specific problems, such as the role of stable and unstable massive neutrinos, electron-positron annihilation and the theory of cosomological helium production. The focus is in obtaining both a theoretical understanding and concrete numerical results.
Author : Thierry Passot
Publisher : American Mathematical Soc.
Page : 322 pages
File Size : 35,29 MB
Release : 2005
Category : Science
ISBN : 0821837230
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.
Author : Dr. M.L. Gupta
Publisher : Diamond Pocket Books Pvt Ltd
Page : 296 pages
File Size : 43,35 MB
Release : 2014-10-18
Category :
ISBN : 935165432X
The Rig-Veda mantra (10.190.1) mentions the ocean of cosmic energy as the fourth step in the sequence of creation of the universe. The name given to it in the mantra is 'Samudro Arnava' meaning the wavy ocean, which name is quite appropriate, since the ocean transmits all kinds of electro-magnetic waves. The Veda describes cosmic energy in different contexts by different epithets in view of the various qualities it possesses. In the context of the sustenance of the universe, which is a fatherly act accomplished by it, the epithet given to this all-pervading medium is 'Brahma tattva' meaning the extensive element, while in the context of the birth of eight elementary particles from this basic space-energy, which is a motherly act, the epithet given to it is Aditi', which is a feminine word meaning limitless and indivisible. The names of the elementary particles born from the ocean of cosmic energy in its entire infinite expanse with their corresponding scientific names are: Mitra (electron), Varun (Proton), Aryama (Neutron), Bhag meson), Daksh(π meson), Ansh( meson), Tuvijat (neutrino) and Martand (Photon) Since all the matter of the visible universe has been created with elementary particles, it is all basically nothing but cosmic energy or Aditi, the mother of all material creation. This important truth has been beautifully expressed in the following mantra of the Yajur-Veda. The starry sky is Aditi, the mid-region is Aditi, the mother earth, the father sun, and their child the moon are Aditi. All Gods i.e. natural forces are due to Aditi. The five born (elementary particles or Fermions) are Aditi, whatever has been born is, and shall be born, would be basically Aditi or cosmic energy. And all the material universe remains and shall ever remain immersed in the 'Arnava Samudra' i.e. the infinite wavy ocean of Cosmic Energy.
Author : Paul Bruma
Publisher : CRC Press
Page : 267 pages
File Size : 48,20 MB
Release : 2022-09-13
Category : Science
ISBN : 1000632539
E=mc2 is known as the most famous but least understood equation in physics. This two-volume textbook illuminates this equation and much more through clear and detailed explanations, new demonstrations, a more physical approach, and a deep analysis of the concepts and postulates of Relativity. The first part of Volume I contains the whole Special Relativity theory with rigorous and complete demonstrations. The second part presents the main principles of General Relativity, including detailed explanations of the bending of light in the neighborhood of great masses, the gravitational time dilatation, and the principles leading to the famous equation of General Relativity: D(g) = k .T. The most important cosmological predictions are then described: the Big Bang theory, black holes, and gravitational waves. Plentiful historical information is contained throughout the book, particularly in an ending chapter depicting the scientific and epistemological revolution brought about by the theory of Relativity. Both volumes place an emphasis on the physical aspects of Relativity to aid the reader’s understanding and contain numerous questions and problems (147 in total). Solutions are given in a highly detailed manner to provide the maximum benefit to students. This textbook fills a gap in the literature by drawing out the physical aspects and consequences of Relativity, which are otherwise often second place to the mathematical aspects. Its concrete focus on physics allows students to gain a full understanding of the underlying concepts and cornerstones of Relativity.
Author : Paul Bruma
Publisher : CRC Press
Page : 559 pages
File Size : 11,1 MB
Release : 2023-11-24
Category : Science
ISBN : 1040014003
E=mc2 is known as the most famous but least understood equation in physics. This two-volume textbook illuminates this equation and much more through clear and detailed explanations, new demonstrations, a more physical approach, and a deep analysis of the concepts and postulates of Relativity. The first part of Volume I contains the whole Special Relativity theory with rigorous and complete demonstrations. The second part presents the main principles of General Relativity, including detailed explanations of the bending of light in the neighborhood of great masses, the gravitational time dilatation, and the principles leading to the famous equation of General Relativity: D(g) = k .T. The most important cosmological predictions are then described: the Big Bang theory, black holes, and gravitational waves. Plentiful historical information is contained throughout the book, particularly in an ending chapter depicting the scientific and epistemological revolution brought about by the theory of Relativity. Volume II progresses into further depth than Volume I, and its scope is more extended than most introductory books on Relativity. It includes the affine connection, the geodesic equation, and an introduction to cosmological models. The mathematical tools dedicated to Relativity are carefully explained for those without an advanced mathematical background (tensors, Lagrangians, covariant derivative). Both volumes place an emphasis on the physical aspects of Relativity to aid the reader’s understanding and contain numerous questions and problems (147 in total). Solutions are given in a highly detailed manner to provide the maximum benefit to students. This textbook fills a gap in the literature by drawing out the physical aspects and consequences of Relativity, which are otherwise often second place to the mathematical aspects. Its concrete focus on physics allows students to gain a full understanding of the underlying concepts and cornerstones of Relativity. More information can be found at: https://www.relativitybruma.com/
