Relativistic Hydrodynamics
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Product details:
- Publisher OUP Oxford
- Date of Publication 14 June 2018
- ISBN 9780198807599
- Binding Paperback
- No. of pages760 pages
- Size 247x170x36 mm
- Weight 1450 g
- Language English
- Illustrations 128 colour illustrations 10
Categories
Short description:
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 presented here in a form which will be appreciated both by students and researchers in the field.
MoreLong description:
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.
This is a very informative and very useful book indeed, written with clarity and pedagogical skill by two of the leading experts in this fascinating field. The readership may range from the advanced undergraduate to the senior expert. The value-to-money ratio is exceptional. I am sure it will become a standard reference for many years to come.
Table of Contents:
Part I The Physics of Relativistic Hydrodynamics
A Brief Review of General Relativity
A Kinetic-Theory Description of Fluids
Relativistic Perfect Fluids
Linear and Nonlinear Hydrodynamical Waves
Reaction Fronts: Detonations and Deflagrations
Relativistic Non-Perfect Fluids
Part II Numerical Relativistic Hydrodynamics
Formulations of the Einstein-Euler Equations
Numerical Relativistic-Hydrodynamics: Finite-Difference Methods
Numerical Relativistic-Hydrodynamics: HRSC Methods
Numerical Relativistic-Hydrodynamics: High-Order Methods
Part III Applications of Relativistic Hydrodynamics
Relativistic Hydrodynamics of Non-Selfgravitating Fluids
Relativistic Hydrodynamics of Selfgravitating Fluids
Appendix A: Geometrized System of Units
Appendix B: Notable Thermodynamical Expressions
Appendix C: Notable Tensors
Appendix D: Common Practices in Numerical Relativistic Hydrodynamics
Appendix E: Numerical Building Blocks
