Shear transport coefficients from gauge/gravity correspondence

Kapusta, Joseph I.; Springer, Todd

doi:10.1103/physrevd.78.066017

Cited by 22 publications

(37 citation statements)

References 30 publications

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“…See [52] for case (iii). A quite general formula for the ratio of shear viscosity to entropy density was first derived in [53] and reproduced by different methods in [54].…”

Section: Gauge/gravity Correspondencementioning

confidence: 99%

Viscous Properties of Strongly Interacting Matter at High Temperature

Kapusta

2010

Relativistic Heavy Ion Physics

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Substantial collective flow is observed in collisions between large nuclei at high energy, and the data are well-reproduced by perfect fluid dynamics. In a separate development, calculation of the dimensionless ratio of shear viscosity η to entropy density within AdS/CFT yields η/s = 1/4π, which has been conjectured to be a lower bound for any physical system. It is shown that the transition from hadrons to quarks and gluons has behavior similar to helium, nitrogen, and water at and near their phase transitions in the ratio η/s. Conversely, there are indications that the ratio of bulk viscosity ζ to entropy density may have a maximum in the vicinity of the phase transition. Therefore it is possible that experimental measurements can pinpoint the location of the transition or rapid crossover in QCD via the ratios η/s and ζ/s in addition to and independently of the equation of state.

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“…See [52] for case (iii). A quite general formula for the ratio of shear viscosity to entropy density was first derived in [53] and reproduced by different methods in [54].…”

Section: Gauge/gravity Correspondencementioning

confidence: 99%

Viscous Properties of Strongly Interacting Matter at High Temperature

Kapusta

2010

Relativistic Heavy Ion Physics

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“…In addition, the black hole membrane paradigm has been employed to calculate the hydrodynamic properties of the stretched horizon of a black hole. In many cases, the transport coefficients calculated on the stretched horizon coincide with the transport coefficients in the dual gauge theory [18,19,20,21,22,23]. Recently, the work of [24] provides yet another way to compute hydrodynamic transport coefficients by deriving the equations of fluid dynamics directly from gravity.…”

Section: Introductionmentioning

confidence: 99%

Second order hydrodynamics for a special class of gravity duals

Springer¹

2009

Phys. Rev. D

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The sound mode hydrodynamic dispersion relation is computed up to order q 3 for a class of gravitational duals which includes both Schwarzschild AdS and Dp-Brane metrics. The implications for second order transport coefficients are examined within the context of Israel-Stewart theory. These sound mode results are compared with previously known results for the shear mode. This comparison allows one to determine the third order hydrodynamic contributions to the shear mode for the class of metrics considered here.

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“…And a lower bound of η/s > 1/4π, obtained by Kovtun-Son-Starinets (KSS) for infinitely coupled super-symmetric Yang-Mills gauge theory based on the AdS/CFT duality conjecture, is speculated to be universally valid [13,14]. In ultra-relativistic heavy-ion collisions [15][16][17][18][19][20], the ratio of shear viscosity to entropy density was used for studying the quark-gluon plasma phase and a minimum value of η/s close to the lower bounder was claimed. In contrast, the study on η/s was very limited in intermediate energy heavy-ion collision.…”

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confidence: 99%

Ratio of shear viscosity to entropy density in multifragmentation of Au + Au

Zhou¹,

Ma²,

Fang³

et al. 2012

EPL

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Abstract. -The ratio of the shear viscosity (η) to entropy density (s) for the intermediate energy heavy-ion collisions has been calculated by using the Green-Kubo method in the framework of the quantum molecular dynamics model. The theoretical curve of η/s as a function of the incident energy for the head-on Au+Au collisions displays that a minimum region of η/s has been approached at higher incident energies, where the minimum η/s value is about 7 times Kovtun-SonStarinets (KSS) bound (1/4π). We argue that the onset of minimum η/s region at higher incident energies corresponds to the nuclear liquid gas phase transition in nuclear multifragmentation.I. INTRODUCTION. -Intermediate energy heavy ion collisions have been extensively studied experimentally and theoretically for obtaining information about the properties of nuclear matter under a wide range of density and temperature. One of the most important aspects of studying nucleus-nucleus collisions at these conditions focuses on multifragmentation and liquid gas phase transition (LGPT) around a hundred MeV/nucleon [1][2][3][4][5][6][7][8][9][10][11]. On the other hand, the ratio of shear viscosity to entropy density (η/s) has been claimed to reach its local minimum at the phase transition temperature for a wide class of systems. Empirical observation of the temperature or incident energy dependence of the shear viscosity to entropy density ratio for H 2 O, He and Ne 2 exhibits a minimum in the vicinity of the critical point for phase transition [12]. And a lower bound of η/s > 1/4π, obtained by Kovtun-Son-Starinets (KSS) for infinitely coupled super-symmetric Yang-Mills gauge theory based on the AdS/CFT duality conjecture, is speculated to be universally valid [13,14]. In ultra-relativistic heavy-ion collisions [15][16][17][18][19][20], the ratio of shear viscosity to entropy density was used for studying the quark-gluon plasma phase and a minimum value of η/s close to the lower bounder was claimed. In contrast, the study on η/s was very limited in intermediate energy heavy-ion collision. Therefore it is of very interesting to investigate shear viscosity or η/s in the intermediate energy domain [21][22][23][24][25]. In our recent

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Shear transport coefficients from gauge/gravity correspondence

Cited by 22 publications

References 30 publications

Viscous Properties of Strongly Interacting Matter at High Temperature

Viscous Properties of Strongly Interacting Matter at High Temperature

Second order hydrodynamics for a special class of gravity duals

Ratio of shear viscosity to entropy density in multifragmentation of Au + Au

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