Stability and Causality in relativistic dissipative hydrodynamics - INSPIRE

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Stability and Causality in relativistic dissipative hydrodynamics

G.S. Denicol
(
- Rio de Janeiro Federal U.
)
,
T. Kodama
(
- Rio de Janeiro Federal U.
)
,
T. Koide
(
- Rio de Janeiro Federal U.
)
,
Ph. Mota
(
- Rio de Janeiro Federal U.
)

Jul, 2008

16 pages

Published in:

J.Phys.G 35 (2008) 115102

e-Print:

0807.3120 [hep-ph]

DOI:

10.1088/0954-3899/35/11/115102

View in:

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Abstract: (arXiv)

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.

Note:

16 pages, 18 figures

47.10.-g
25.75.-q
stability
hydrodynamics
dissipation
causality
scaling
quark gluon: plasma
dimension: 2
perturbation: linear

References(46)

Figures(18)

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Relativistic dissipative hydrodynamics: A Minimal causal theory

T. Koide
(
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)
,
G.S. Denicol
(
- Rio de Janeiro Federal U.
)
,
Ph. Mota
(
- Rio de Janeiro Federal U.
)
,
T. Kodama
(
- Rio de Janeiro Federal U.
)

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(
- Rio de Janeiro Federal U.
)
,
T. Kodama
(
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)
,
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(
- Rio de Janeiro Federal U.
)
,
Ph. Mota
(
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)

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