Aspects of causal viscous hydrodynamics

Bhalerao, Rajeev S.; Gupta, Sourendu

doi:10.1103/physrevc.77.014902

Cited by 11 publications

(12 citation statements)

References 64 publications

(102 reference statements)

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“…[49]; see Ref. [69] for similar considerations). More specifically, let us consider a viscous background "solution" with u i = 0 but nonvanishing (τ ), ξ ξ (τ ) obeying Eq.…”

Section: H Code Testsmentioning

confidence: 91%

Conformal relativistic viscous hydrodynamics: Applications to RHIC results atsNN=200GeV

2008

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A new set of equations for relativistic viscous hydrodynamics that captures both weak-coupling and strongcoupling physics to second order in gradients has been developed recently. We apply this framework to bulk physics at the Relativistic Heavy Ion Collider (RHIC), both for standard (Glauber-type) as well as for colorglass-condensate (CGC) initial conditions and show that the results do not depend strongly on the values for the second-order transport coefficients. Results for multiplicity, radial flow and elliptic flow are presented, and we quote the ratio of viscosity over entropy density for which our hydrodynamic model is consistent with experimental data. For CGC initial conditions, early thermalization does not seem to be required in order for hydrodynamics to describe charged hadron elliptic flow.

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“…[49]; see Ref. [69] for similar considerations). More specifically, let us consider a viscous background "solution" with u i = 0 but nonvanishing (τ ), ξ ξ (τ ) obeying Eq.…”

Section: H Code Testsmentioning

confidence: 91%

Conformal relativistic viscous hydrodynamics: Applications to RHIC results atsNN=200GeV

2008

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“…This program has only been recently initiated, but has already led to an enormous activity in the literature [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Does stability of relativistic dissipative fluid dynamics imply causality?

2010

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We investigate the causality and stability of relativistic dissipative fluid dynamics in the absence of conserved charges. We perform a linear stability analysis in the rest frame of the fluid and find that the equations of relativistic dissipative fluid dynamics are always stable. We then perform a linear stability analysis in a Lorentz-boosted frame. Provided that the ratio of the relaxation time for the shear stress tensor, τ π , to the sound attenuation length, Γ s = 4η/3(ε + P ), fulfills a certain asymptotic causality condition, the equations of motion give rise to stable solutions.Although the group velocity associated with perturbations may exceed the velocity of light in a certain finite range of wavenumbers, we demonstrate that this does not violate causality, as long as the asymptotic causality condition is fulfilled. Finally, we compute the characteristic velocities and show that they remain below the velocity of light if the ratio τ π /Γ s fulfills the asymptotic causality condition.

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“…Following Ref. [11] we define the Fourier transform and the power spectrum of the density, respectively, as…”

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confidence: 99%

“…The evolution of the power spectrum is governed by Eq. (11). From top to bottom the curves are for k = 1/8, 1/4, 1/2, 1, 2, and 4.…”

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confidence: 99%

Relativistic diffusion and heavy-ion collisions

Bhalerao¹,

Gupta²

2009

Phys. Rev. C

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We study first and second order theories of relativistic diffusion coupled to hydrodynamics under the approximation, valid at mid-rapidity in the RHIC and LHC, that conserved number densities are much smaller than the entropy density. We identify experimentally accessible quantities of interest, and show that the first and second order theories may lead to radically different evolutions of these quantities. In the first order theory the memory of the initial state is almost completely washed out, whereas in the second order theory it is possible that freezeout occurs at a time when transient dynamics is still on, and the memory of the initial state remains. There are observational consequences which we touch upon. In the first order theory, and for initial conditions when the second order theory mimics the first order, one may be able to put a bound on the diffusion constant.Comment: 8 pages, 5 figure

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Aspects of causal viscous hydrodynamics

Cited by 11 publications

References 64 publications

Conformal relativistic viscous hydrodynamics: Applications to RHIC results atsNN=200GeV

Conformal relativistic viscous hydrodynamics: Applications to RHIC results atsNN=200GeV

Does stability of relativistic dissipative fluid dynamics imply causality?

Relativistic diffusion and heavy-ion collisions

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