Nonlinear waves in second order conformal hydrodynamics

Fogaça, D. A.; Marrochio, Hugo; Navarra, F. S.; Noronha, Jorge

doi:10.1016/j.nuclphysa.2014.11.009

Cited by 12 publications

(31 citation statements)

References 78 publications

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“…Our results provide a general method to extend the EFT which completes the insights of [7,8,11]. For stability the theory in its Lagrangian description has to contain strictly positive powers of B IJ and its derivatives, which means even powers with positive combinations of gradients and traces at the lagrangian level.…”

Section: Discussionmentioning

confidence: 63%

“…This means that while equations of motion can be constructed independent of B IJ , these will be unstable against perturbations in the B IJ direction. This, in fact, explains, in terms of the Lagrangian, the linear-order results of [6][7][8] about the instability of Navier-Stokes hydrodynamics and makes it apparent non-linearities cannot cure the instabilities encountered in these works, at least at the classical level.…”

Section: A Review Of Ideal Hydrodynamicsmentioning

confidence: 99%

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Lagrangian formulation of relativistic Israel-Stewart hydrodynamics

Montenegro

Torrieri

2016

Phys. Rev. D

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We rederive relativistic hydrodynamics as a Lagrangian effective theory using the doubled coordinates technique, allowing us to include dissipative terms. We include Navier-Stokes shear and bulk terms, as well as Israel-Stewart relaxation time terms, within this formalism. We show how the inclusion of shear dissipation forces the inclusion of the Israel-Stewart term into the theory, thereby providing an additional justification for the form of this term. PACS numbers: 25.75.-q,25.75.Dw,25.75.Nq arXiv:1604.05291v3 [hep-th] 1 Nov 2016

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Section: Discussionmentioning

confidence: 63%

Section: A Review Of Ideal Hydrodynamicsmentioning

confidence: 99%

Lagrangian formulation of relativistic Israel-Stewart hydrodynamics

Montenegro

Torrieri

2016

Phys. Rev. D

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“…To study causality and stability, we follow the procedure adopted in [5,6,10,[19][20][21], where the perturbations are described by plane waves:…”

Section: Non-relativistic Equation Of Statementioning

confidence: 99%

Waves in magnetized quark matter

2018

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We study wave propagation in a non-relativistic cold quark-gluon plasma immersed in a constant magnetic field. Starting from the Euler equation we derive linear wave equations and investigate their stability and causality. We use a generic form for the equation of state, the EOS derived from the MIT bag model and also a variant of the this model which includes gluon degrees of freedom. The results of this analysis may be relevant for perturbations propagating through the quark matter phase in the core of compact stars and also for perturbations propagating in the low temperature quark-gluon plasma formed in low energy heavy ion collisions, to be carried out at FAIR and NICA.

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“…Linear stability of shear modes can be studied by choosing a flow disturbance of the kind u µ shear = (1, 0, 0, 0) + (0, 0, δu y (t, x), 0) while the other relations in (C.3) remain valid (see [145]). This leads to the following dispersion relation For a recent study involving the first nonlinear corrections to the stability analysis and the propagation of waves in relativistic hydrodynamics see, for instance, [146].…”

Section: Jhep02(2015)051mentioning

confidence: 99%

Hydrodynamic transport coefficients for the non-conformal quark-gluon plasma from holography

Finazzo

Rougemont

Marrochio

et al. 2015

J. High Energ. Phys.

117

153

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In this paper we obtain holographic formulas for the transport coefficients κ and τ π present in the second-order derivative expansion of relativistic hydrodynamics in curved spacetime associated with a non-conformal strongly coupled plasma described holographically by an Einstein+Scalar action in the bulk. We compute these coefficients as functions of the temperature in a bottom-up non-conformal model that is tuned to reproduce lattice QCD thermodynamics at zero baryon chemical potential. We directly compute, besides the speed of sound, 6 other transport coefficients that appear at second-order in the derivative expansion. We also give an estimate for the temperature dependence of 11 other transport coefficients taking into account the simplest contribution from non-conformal effects that appear near the QCD crossover phase transition. Using these results, we construct an Israel-Stewart-like theory in flat spacetime containing 13 of these 17 transport coefficients that should be suitable for phenomenological applications in the context of numerical hydrodynamic simulations of the strongly-coupled, non-conformal quark-gluon plasma. Using several different approximations, we give parametrizations for the temperature dependence of all the second-order transport coefficients that appear in this theory in a format that can be easily implemented in existing numerical hydrodynamic codes.

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Nonlinear waves in second order conformal hydrodynamics

Cited by 12 publications

References 78 publications

Lagrangian formulation of relativistic Israel-Stewart hydrodynamics

Lagrangian formulation of relativistic Israel-Stewart hydrodynamics

Waves in magnetized quark matter

Hydrodynamic transport coefficients for the non-conformal quark-gluon plasma from holography

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