Towards the description of anisotropic plasma at strong coupling

Janik, Romuald A.; Witaszczyk, Przemysław

doi:10.1088/1126-6708/2008/09/026

Cited by 51 publications

(72 citation statements)

References 29 publications

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“…The Taylor series expression predicts then a constant pressure anisotropy, which would lead to a singular spacetime [28]. Figure 2 shows the numerical evolution of the profile (3.5) and proves that the radius of convergence of the Taylor expansion is indeed too small to see thermalization defined via (2.10).…”

Section: Why the Near-boundary Expansion Is Not Enoughmentioning

confidence: 89%

“…In this sense the energy density is part of the initial conditions. As the only possible static state with finite energy density is the isotropic and homogeneous plasma [28], the final state is known already from the start, without the need to solve any dynamical equation. This seems to be a rather non-generic feature of our setup, which we discuss at length in the conclusions section.…”

Section: Jhep09(2013)026mentioning

confidence: 99%

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Holographic isotropization linearized

Heller

Matéos

Schee

et al. 2013

J. High Energ. Phys.

136

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Abstract:The holographic isotropization of a highly anisotropic, homogeneous, strongly coupled, non-Abelian plasma was simplified in ref.[1] by linearizing Einstein's equations around the final, equilibrium state. This approximation reproduces the expectation value of the boundary stress tensor with a 20% accuracy. Here we elaborate on these results and extend them to observables that are directly sensitive to the bulk interior, focusing for simplicity on the entropy production on the event horizon. We also consider next-toleading-order corrections and show that the leading terms alone provide a better description of the isotropization process for the states that are furthest from equilibrium.

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Section: Why the Near-boundary Expansion Is Not Enoughmentioning

confidence: 89%

Section: Jhep09(2013)026mentioning

confidence: 99%

Holographic isotropization linearized

Heller

Matéos

Schee

et al. 2013

J. High Energ. Phys.

136

View full text Add to dashboard Cite

show abstract

“…For accessibility by a broad audience, details will appear elsewhere [4]. Previous holographic studies of anisotropic plasmas include [5,6]. One important difference with the gravity solution of [6] is that the latter possesses a naked singularity, whereas our solution is completely regular.…”

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confidence: 99%

AnisotropicN=4Super-Yang-Mills Plasma and Its Instabilities

2011

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We present a IIB supergravity solution dual to a spatially anisotropic finite-temperature N = 4 super Yang-Mills plasma. The solution is static and completely regular. The full geometry can be viewed as a renormalization group flow from an ultraviolet AdS geometry to an infrared Lifshitz-like geometry. The anisotropy can be equivalently understood as resulting from a position-dependent θ-term or from a non-zero number density of dissolved D7-branes. The holographic stress tensor is conserved and anisotropic. The presence of a conformal anomaly plays an important role in the thermodynamics. The phase diagram exhibits homogeneous and inhomogeneous (i.e. mixed) phases. In some regions the homogeneous phase displays instabilities reminiscent of those of weakly coupled plasmas. We comment on similarities with QCD at finite baryon density and with the phenomenon of cavitation.1. Introduction. The realization that the quark-gluon plasma (QGP) produced in heavy ion collisions (HIC) is strongly coupled [1] has provided motivation for understanding the dynamics of strongly coupled non-Abelian plasmas through the gauge/string duality [2] (see [3] for a review of applications to the QGP). The simplest example of the duality is the equivalence between fourdimensional N = 4 SU (N c ) super Yang-Mills (SYM) theory and IIB string theory on AdS 5 × S 5 . Here we extend this example to the case in which the SYM plasma is spatially anisotropic. For accessibility by a broad audience, details will appear elsewhere [4]. Previous holographic studies of anisotropic plasmas include [5,6]. One important difference with the gravity solution of [6] is that the latter possesses a naked singularity, whereas our solution is completely regular.

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“…The first such attempt was presented by Janik and Witaszczyk in [22], where the gravity dual involves a naked singularity. In [23] we have studied electromagnetic signatures of this model which are qualitatively similar to weak-coupling results at high frequencies, but which involve vanishing conductivities in the limit of zero frequency and absence of hydrodynamic behavior.…”

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confidence: 99%

Violation of the Holographic Viscosity Bound in a Strongly Coupled Anisotropic Plasma

2012

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We study the conductivity and shear viscosity tensors of a strongly coupled N = 4 super-YangMills plasma which is kept anisotropic by a θ parameter that depends linearly on one of the spatial dimensions. Its holographic dual is given by an anisotropic axion-dilaton-gravity background and has recently been proposed by Mateos and Trancanelli as a model for the pre-equilibrium stage of quark-gluon plasma in heavy-ion collisions. By applying the membrane paradigm which we also check by numerical evaluation of Kubo formula and lowest lying quasinormal modes, we find that the shear viscosity purely transverse to the direction of anisotropy saturates the holographic viscosity bound, whereas longitudinal shear viscosities are smaller, providing the first such example not involving higher-derivative theories of gravity and, more importantly, with fully known gaugegravity correspondence.PACS numbers: 11.25. Tq, 11.10Wx, 12.38.Mh Introduction. Hydrodynamic simulations of heavyion collisions suggest [1] that the produced quark-gluon plasma is behaving like an almost perfect fluid with a ratio of shear viscosity over entropy density not far from the famous result /4π associated with the membrane paradigm of black holes [2] and which holographic gaugegravity duality maps to the corresponding quantity of maximally supersymmetric Yang-Mills theory in the limit of infinite color number and infinite 't Hooft coupling [3,4]. This value has been conjectured to form the lower bound for any realistic matter [5]. It was found to be saturated universally [6,7] in dual theories involving an isotropic horizon described by Einstein gravity. Values above this bound are obtained when corrections due to finite coupling strength are included [8], but it has been shown that values violating the bound can arise in higherderivate gravities [9], although so far no complete gaugegravity correspondence has been established for finite violations.

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Towards the description of anisotropic plasma at strong coupling

Cited by 51 publications

References 29 publications

Holographic isotropization linearized

Holographic isotropization linearized

AnisotropicN=4Super-Yang-Mills Plasma and Its Instabilities

Violation of the Holographic Viscosity Bound in a Strongly Coupled Anisotropic Plasma

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