Relativistic Hydrodynamics

Relativistic Hydrodynamics

Author: Luciano Rezzolla

Publisher: OUP Oxford

Published: 2013-09-26

Total Pages: 752

ISBN-13: 0191509914

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Relativistic hydrodynamics is a very successful theoretical framework to describe the dynamics of matter from scales as small as those of colliding elementary particles, up to the largest scales in the universe. This book provides an up-to-date, lively, and approachable introduction to the mathematical formalism, numerical techniques, and applications of relativistic hydrodynamics. The topic is typically covered either by very formal or by very phenomenological books, but is instead presented here in a form that will be appreciated both by students and researchers in the field. The topics covered in the book are the results of work carried out over the last 40 years, which can be found in rather technical research articles with dissimilar notations and styles. The book is not just a collection of scattered information, but a well-organized description of relativistic hydrodynamics, from the basic principles of statistical kinetic theory, down to the technical aspects of numerical methods devised for the solution of the equations, and over to the applications in modern physics and astrophysics. Numerous figures, diagrams, and a variety of exercises aid the material in the book. The most obvious applications of this work range from astrophysics (black holes, neutron stars, gamma-ray bursts, and active galaxies) to cosmology (early-universe hydrodynamics and phase transitions) and particle physics (heavy-ion collisions). It is often said that fluids are either seen as solutions of partial differential equations or as "wet". Fluids in this book are definitely wet, but the mathematical beauty of differential equations is not washed out.


Physics of Continuous Matter, Second Edition

Physics of Continuous Matter, Second Edition

Author: B. Lautrup

Publisher: CRC Press

Published: 2011-03-22

Total Pages: 698

ISBN-13: 1420077007

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Physics of Continuous Matter: Exotic and Everyday Phenomena in the Macroscopic World, Second Edition provides an introduction to the basic ideas of continuum physics and their application to a wealth of macroscopic phenomena. The text focuses on the many approximate methods that offer insight into the rich physics hidden in fundamental continuum mechanics equations. Like its acclaimed predecessor, this second edition introduces mathematical tools on a "need-to-know" basis. New to the Second Edition This edition includes three new chapters on elasticity of slender rods, energy, and entropy. It also offers more margin drawings and photographs and improved images of simulations. Along with reorganizing much of the material, the author has revised many of the physics arguments and mathematical presentations to improve clarity and consistency. The collection of problems at the end of each chapter has been expanded as well. These problems further develop the physical and mathematical concepts presented. With worked examples throughout, this book clearly illustrates both qualitative and quantitative physics reasoning. It emphasizes the importance in understanding the physical principles behind equations and the conditions underlying approximations. A companion website provides a host of ancillary materials, including software programs, color figures, and additional problems.


3+1 Formalism in General Relativity

3+1 Formalism in General Relativity

Author: Éric Gourgoulhon

Publisher: Springer

Published: 2012-02-27

Total Pages: 304

ISBN-13: 3642245250

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This graduate-level, course-based text is devoted to the 3+1 formalism of general relativity, which also constitutes the theoretical foundations of numerical relativity. The book starts by establishing the mathematical background (differential geometry, hypersurfaces embedded in space-time, foliation of space-time by a family of space-like hypersurfaces), and then turns to the 3+1 decomposition of the Einstein equations, giving rise to the Cauchy problem with constraints, which constitutes the core of 3+1 formalism. The ADM Hamiltonian formulation of general relativity is also introduced at this stage. Finally, the decomposition of the matter and electromagnetic field equations is presented, focusing on the astrophysically relevant cases of a perfect fluid and a perfect conductor (ideal magnetohydrodynamics). The second part of the book introduces more advanced topics: the conformal transformation of the 3-metric on each hypersurface and the corresponding rewriting of the 3+1 Einstein equations, the Isenberg-Wilson-Mathews approximation to general relativity, global quantities associated with asymptotic flatness (ADM mass, linear and angular momentum) and with symmetries (Komar mass and angular momentum). In the last part, the initial data problem is studied, the choice of spacetime coordinates within the 3+1 framework is discussed and various schemes for the time integration of the 3+1 Einstein equations are reviewed. The prerequisites are those of a basic general relativity course with calculations and derivations presented in detail, making this text complete and self-contained. Numerical techniques are not covered in this book.


Was Einstein Right?

Was Einstein Right?

Author: Clifford M. Will

Publisher: Basic Books

Published: 1993-06-02

Total Pages: 0

ISBN-13: 9780465090860

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Looks at how scientists have tested Einstein's theory during the past seventy years, and demonstrates how this theory is crucial to understanding such features of the universe as pulsars, quasars, and black holes.


The Implicit Connection

The Implicit Connection

Author: Miss Mona Chadda

Publisher: Notion Press

Published: 2021-02-28

Total Pages: 147

ISBN-13: 1638066442

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Life itself has no meaning. Life is an opportunity to create meaning. Meaning is not to be discovered. It has to be created. So here I choose to work with kids with diverse learning needs, when I made a connection with a student with severe autism while working with different people during college. I have enjoyed working with all the differently abled children. Although it took a while and took many trials, I was finally able to find a way to communicate with them, and this feeling is really amazing. It was and is very rewarding and also a bit challenging as you may have to try several strategies before you find one that works. One of the most important things for me as an educator is to always talk to my students about how all individuals have their strengths and areas that they find challenging. Sometimes they can express and sometimes you need to teach them how to do so. While supporting students with special needs, we need to point out and celebrate their strengths more and more often. They need to believe that everyone learns differently and sometimes it's going to take more effort or more time for them to do certain things, which is OKAY. What's important is that they learn to advocate for themselves as they get older and state when they don't understand something or ask for help when they need it.


The Physics of Reality

The Physics of Reality

Author: Richard L. Amoroso

Publisher: World Scientific

Published: 2013

Total Pages: 553

ISBN-13: 9814504785

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A truly Galilean-class volume, this book introduces a new method in theory formation, completing the tools of epistemology. It covers a broad spectrum of theoretical and mathematical physics by researchers from over 20 nations from four continents. Like Vigier himself, the Vigier symposia are noted for addressing avant-garde, cutting-edge topics in contemporary physics. Among the six proceedings honoring J.-P. Vigier, this is perhaps the most exciting one as several important breakthroughs are introduced for the first time. The most interesting breakthrough in view of the recent NIST experimental violations of QED is a continuation of the pioneering work by Vigier on tight bound states in hydrogen. The new experimental protocol described not only promises empirical proof of large-scale extra dimensions in conjunction with avenues for testing string theory, but also implies the birth of the field of unified field mechanics, ushering in a new age of discovery. Work on quantum computing redefines the qubit in a manner that the uncertainty principle may be routinely violated. Other breakthroughs occur in the utility of quaternion algebra in extending our understanding of the nature of the fermionic singularity or point particle. There are several other discoveries of equal magnitude, making this volume a must-have acquisition for the library of any serious forward-looking researchers.


The Urban Transformation of the Developing World

The Urban Transformation of the Developing World

Author: Josef Gugler

Publisher: Oxford University Press, USA

Published: 1996

Total Pages: 360

ISBN-13:

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This collection brings together essays from leading experts on urbanization who come from diverse disciplines. Divergences as well as convergences are explored in the introductory essay while the second essay presents the urban history of Asia, which is unparalleled in its time span, geographical spread, and cultural riches. The next three essays consider China, India, and Indonesia as regions in their own right, providing units of analysis that can usefully be compared with regions such as the Arab states, Africa South of the Sahara, and Latin America, which are discussed in the final three essays.