Linear plane waves in dissipative relativistic fluids

Hiscock, William A.; Lindblom, Lee

doi:10.1103/physrevd.35.3723

Cited by 177 publications

(185 citation statements)

References 12 publications

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“…Unphysical instabilities: Standard relativistic first-oder hydrodynamics has unphysical instabilities [43,44]. Second-order hydrodynamics is free from this problem (at least for linear perturbations).…”

Section: Revisiting Diffusion Problem: Hydrodynamic Applicationmentioning

confidence: 99%

AdS/CFT Duality User Guide

Natsuume

2015

Lecture Notes in Physics

172

215

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This is the draft/updated version of a textbook on "real-world" applications of the AdS/CFT duality for beginning graduate students in particle physics and for researchers in the other fields. The aim of this book is to provide background materials such as string theory, general relativity, nuclear physics, nonequilibrium physics, and condensed-matter physics as well as some key applications of the AdS/CFT duality in a single textbook. Contents: (1) Introduction, (2) General relativity and black holes, (3) Black holes and thermodynamics, (4) Strong interaction and gauge theories, (5) The road to AdS/CFT, (6) The AdS spacetime, (7) AdS/CFT - equilibrium, (8) AdS/CFT - adding probes, (9) Basics of nonequilibrium physics, (10) AdS/CFT - nonequilibrium, (11) Other AdS spacetimes, (12) Applications to quark-gluon plasma, (13) Basics of phase transition, (14) AdS/CFT - phase transition, (15) Exercises.Comment: 309 pages. Comments welcome. Published edition is available from Springer (Lecture Notes in Physics 903). Translated from a Japanese book originally published in 2012; v2: various improvements; v3: minor corrections, v4: added materials & minor improvements after publication (see "Preface for the arXiv edition" for details). http://link.springer.com/book/10.1007/978-4-431-55441-

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Section: Revisiting Diffusion Problem: Hydrodynamic Applicationmentioning

confidence: 99%

AdS/CFT Duality User Guide

Natsuume

2015

Lecture Notes in Physics

172

215

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“…Their conclusions are summarized as follows. 1) The Eckart theory is unstable for the linear perturbation around the hydrostatic states whereas the LL theory and the IS theory (of the Landau frame) are stable [13,14]. 2) The LL theory is shown to be unstable for the linear perturbation around hydrostatic states in a general frame where the fluid is Lorentz boosted [13].…”

Section: Introductionmentioning

confidence: 99%

Stability and causality in relativistic dissipative hydrodynamics

Denicol

Kodama

Koide

et al. 2008

J. Phys. G: Nucl. Part. Phys.

157

251

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The stability and causality of the Landau-Lifshitz theory and the Israel-Stewart type causal dissipative hydrodynamics are discussed. We show that the problem of acausality and instability are correlated in relativistic dissipative hydrodynamics and instability is induced by acausality. We further discuss the stability of the scaling solution. The scaling solution of the causal dissipative hydrodynamics can be unstable against inhomogeneous perturbations.

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“…More specifically, we verified that the linearized equation of motion for small perturbations in the homogeneous, static background coincides with Hiscock-Lindblom [32][33][34] except for the coupling among the different irreversible currents. These couplings are not included in our theory considering the Curie principle.…”

Section: Summary and Concluding Remarksmentioning

confidence: 73%

“…Therefore we can easily see that our linearized equation of motion has the same structure as the IS with α 0 = α 1 = 0 . Thus the speed of pulse propagation is finite as discussed by Hiscock-Lindblom [32][33][34].…”

Section: Relativistic Dissipative Hydrodynamicsmentioning

confidence: 99%

Causal theory of relativistic dissipative hydrodynamics

Denicol¹,

Kodama²,

Koide³

et al. 2007

Braz. J. Phys.

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We present a new formalism for the theory of relativistic dissipative hydrodynamics, where covariance and causality are satisfied by introducing the memory effect in irreversible currents. Our theory has a much simpler structure and thus has several advantages for practical purposes compared to the Israel-Stewart theory (IS). We apply our formalism to the Bjorken model and the results are shown to be analogous to the IS.

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Linear plane waves in dissipative relativistic fluids

Cited by 177 publications

References 12 publications

AdS/CFT Duality User Guide

AdS/CFT Duality User Guide

Stability and causality in relativistic dissipative hydrodynamics

Causal theory of relativistic dissipative hydrodynamics

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