Relativistic Hydrodynamics

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Relativistic Hydrodynamics

Author : Luciano Rezzolla
ISBN : 9780198528906
Genre : Mathematics
File Size : 90.78 MB
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This book provides a lively and approachable introduction to the main concepts and techniques of relativistic hydrodynamics in a form that will appeal to physicists at advanced undergraduate and post-graduate levels. The book is divided in three parts. The first part deals with the physical aspects of relativistic hydrodynamics, touching fundamental topics such as kinetic theory, equations of state, linear and nonlinear waves in fluids, and the treatment ofnon-ideal fluids. The second part provides an introductory but complete description of those numerical methods currently adopted in the solution of the relativistic hydrodynamic equations. Finally, the thirdpart is devoted to applications and considers several physical and astrophysical systems for which relativistic hydrodynamics plays a crucial role. The book is especially recommended to astrophysicists, particle physicists, and applied mathematicians.
Category: Mathematics

Relativistic Hydrodynamics

Author : A. H. Taub
ISBN : MINN:31951D03527628B
Genre : Hydrodynamics
File Size : 72.43 MB
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Today we have Professor Taub from the University of Illinois. He is Research Professor at the Illinois Computing Laboratory. This has nothing to do with the talk but I think it would be nice if he would give us about a five-minute rundown on what the Computing Laboratory does. We are all interested in that sort of thing. The actual talk is going to be on relativistic hydrodynamics. Professor Taub To begin with a description of the Digital Computer Laboratory at the University of Illinois, I can tell you a little about its history and some of its plans and what it is going to do. The Digital Computer Laboratory started in about 1948. At that time the acquisition of computers was a little different than it is now. The laboratory then was very much interested in the field of computer development, computer use, and development of mathematical methods for using computers efficiently, and felt that these purposes could best be achieved if a high-speed computer were available.
Category: Hydrodynamics

Relativistic Fluid Dynamics

Author : Angelo M. Anile
ISBN : 9783540481423
Genre : Science
File Size : 59.33 MB
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In recent years the subject of relativistic fluid dynamics has found substantial applications in astrophysics and cosmology (theories of gravitational collapse, models of neutron stars, galaxy formation), as well as in plasma physics (relativistic fluids have been considered as models for relativistic particle beams) and nuclear physics (relativistic fluids are currently used in the analysis of the heavy ion reactions). Modern methods of analysis and differential geometry have now also been introduced. The International C.I.M.E. Course brought together expertise and interest from several areas (astrophysics, plasma physics, nuclear physics, mathematical methods) to create an appropriate arena for discussion and exchange of ideas. The main lecture courses introduced the most significant aspects of the subject and were delivered by leading specialists. The notes of these have been written up for this volume and constitute an up-to-date and thorough treatment of these topics. Several contributions from the seminars on specialized topics of complementary interest to the courses are also included.
Category: Science

Elements Of Numerical Relativity And Relativistic Hydrodynamics

Author : Carles Bona
ISBN : 9783642011634
Genre : Science
File Size : 34.73 MB
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Many large-scale projects for detecting gravitational radiation are currently being developed, all with the aim of opening a new window onto the observable Universe. As a result, numerical relativity has recently become a major field of research, and Elements of Numerical Relativity and Relativistic Hydrodynamics is a valuable primer for both graduate students and non-specialist researchers wishing to enter the field. A revised and significantly enlarged edition of LNP 673 Elements of Numerical Relativity, this book starts with the most basic insights and aspects of numerical relativity before it develops coherent guidelines for the reliable and convenient selection of each of the following key aspects: evolution formalism; gauge, initial, and boundary conditions; and various numerical algorithms. And in addition to many revisions, it includes new, convenient damping terms for numerical implementations, a presentation of the recently-developed harmonic formalism, and an extensive, new chapter on matter space-times, containing a thorough introduction to relativistic hydrodynamics. While proper reference is given to advanced applications requiring large computational resources, most tests and applications in this book can be performed on a standard PC.
Category: Science

Relativistic Numerical Hydrodynamics

Author : James R. Wilson
ISBN : 0521037719
Genre : Science
File Size : 73.85 MB
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A pedagogical overview of the computational framework required to solve problems in relativistic hydrodynamics and astrophysics.
Category: Science

Exploring The Fluid Landscape

Author : Juan Hernandez
ISBN : OCLC:1199661719
Genre :
File Size : 46.61 MB
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In this work, we use the recently developed equilibrium generating functional and systematic derivative expansion approach to hydrodynamics to explore three new regimes of relativistic hydrodynamics. First, we derive the equations of motion and write the constitutive relations to first order in derivatives for relativistic fluids coupled to an external vector field. Next, for relativistic fluids in strong magnetic fields B ~ O(1), we derive the equations of motion and present the constitutive relations to first order in derivatives. From the resulting system of equations, we find the hydrodynamic modes for these systems. We also find the constraints on the transport coefficients due to the entropy production argument and derive the corresponding Kubo formulas. Finally, we repeat the same analysis for relativistic fluids coupled to dynamical electromagnetic fields with ~ O(1).

Relativistic Dissipative Hydrodynamic Description Of The Quark Gluon Plasma

Author : Akihiko Monnai
ISBN : 9784431547983
Genre : Science
File Size : 64.72 MB
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This thesis presents theoretical and numerical studies on phenomenological description of the quark–gluon plasma (QGP), a many-body system of elementary particles. The author formulates a causal theory of hydrodynamics for systems with net charges from the law of increasing entropy and a momentum expansion method. The derived equation results can be applied not only to collider physics, but also to the early universe and ultra-cold atoms. The author also develops novel off-equilibrium hydrodynamic models for the longitudinal expansion of the QGP on the basis of these equations. Numerical estimations show that convection and entropy production during the hydrodynamic evolution are key to explaining excessive charged particle production, recently observed at the Large Hadron Collider. Furthermore, the analyses at finite baryon density indicate that the energy available for QGP production is larger than the amount conventionally assumed.
Category: Science

Quark Gluon Plasma

Author : Kohsuke Yagi
ISBN : 0521561086
Genre : Science
File Size : 57.68 MB
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Advanced text/reference on QGP and quantum chromodynamics covering both theory and experiments.
Category: Science

The Equations Of Radiation Hydrodynamics

Author : Gerald C. Pomraning
ISBN : 9780486445991
Genre : Science
File Size : 26.35 MB
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Graduate-level text examines propagation of thermal radiation through a fluid and its effects on the hydrodynamics of fluid motion. Topics include approximate formulations of radiative transfer and relativistic effects of fluid motion; microscopic physics associated with the equation of transfer; inverse Compton scattering; and hydrodynamic description of fluid. 1973 edition.
Category: Science

Instabilities Of Relativistic Electron Beam In Plasma

Author : Valery B. Krasovitskii
ISBN : 1600215157
Genre : Science
File Size : 33.88 MB
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This book is devoted to the non-linear theory of the collective interaction between a modulated beam of relativistic charged particles and narrow electromagnetic and Langmuir wave packets in plasma or gas slow-wave systems. Regular oscillations excited by a relativistic beam under the conditions of Cherenkov resonance and the anomalous Doppler effect can be used to generate coherent microwave radiation and accelerate charged particles in plasma.
Category: Science

Relativistic Fluid Dynamics In And Out Of Equilibrium

Author : Paul Romatschke
ISBN : 9781108483681
Genre : Science
File Size : 82.14 MB
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Presents a powerful new framework for out-of-equilibrium hydrodynamics, with connections to kinetic theory, AdS/CFT and applications to high-energy particle collisions.
Category: Science

Theoretical Astrophysics

Author : Matthias Bartelmann
ISBN : 9783527669776
Genre : Science
File Size : 33.5 MB
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Beginning from first principles and adopting a modular structure, this book develops the fundamental physical methods needed to describe and understand a wide range of seemingly very diverse astrophysical phenomena and processes. For example, the discussion of radiation processes including their spectra is based on Larmor's equation and extended by the photon picture and the internal dynamics of radiating quantum systems, leading to the shapes of spectral lines and the ideas of radiation transport. Hydrodynamics begins with the concept of phase-space distribution functions and Boltzmann's equation and develops ideal, viscous and magneto-hydrodynamics all from the vanishing divergence of an energy-momentum tensor, opening a natural extension towards relativistic hydrodynamics. Linear stability analysis is introduced and used as a common and versatile tool throughout the book. Aimed at students at graduate level, lecturers teaching courses in theoretical astrophysics or advanced topics in modern astronomy, this book with its abundant examples and exercises also serves as a reference and an entry point for more advanced researchers wanting to update their knowledge of the physical processes that govern the behavior and evolution of astronomical objects.
Category: Science